Bana FInal

The distance, Y, that a new hybrid car can travel on one gallon of gasoline is normally distributed with a mean of 65 and standard deviation of 4. Find the probability that a randomly selected car from the production line in a test run would travel more than 75 miles on a gallon of fuel.

0.0062

Let the experiment be rolling a fair six-sided die one time. Let A be the event that you roll an even number. Let B be the event that you roll a number greater than two. How could the event = {roll an even number or a number greater than two} be represented in set notation?

(A∪B) = {2,3,4,5,6}

If Z is a standard normal random variable, find z0.5636.

-0.16

The heights of U. S. men are normally distributed with a mean of 69 inches and a standard deviation of 3.1 inches. What is the probability of a randomly selected man having a height greater than 75 inches?

.026

Suppose the time it takes for customer representatives to diagnose and fix computer problems is uniformly distributed from 10 to 120 minutes. What is the probability that a problem is diagnosed and fixed within 30 minutes?

.27

Suppose Y has a normal distribution with mean 85 and standard deviation 13. P( 75 < Y < 88), to three decimal places? Enter your answer as a decimal, not a percent. For example, if the answer is 0.3161, enter 0.3161, NOT 31.61%.

.370

A continuous random variable X has a uniform distribution between 5 and 25. Therefore, the probability that X falls between 10 and 20 is:

.5

Find P(Z > -2.27) if Z is a standard normal random variable.

.9884

Umbrella Corporation purchases a raw material in 55-gallon drums from a supplier. Records for the supplier indicate that the impurity level in the material per drum has a normal distribution with a mean of 3% and a standard deviation of 0.4%. An impurity level of 4% or more in any shipment requires that Umbrella return the entire drum to the supplier. What is the probability that Umbrella has to return any given shipment?

0.0062

A technical support center receives calls at a rate of μ = 5 per minute. What is the probability that 14 calls come in the next two minutes, to three decimal places? Hint: You will first need to find the mean for a two-minute interval, λ, using the mean per minute.

0.052 ± 0.006

A histogram has been created with the following bins. What is the relative frequency for bin 3 to two decimal places?

0.28 ± 0.09

A manufacturer of fiber optic cable regularly performs quality control by sampling from the production line and calculating the diameters of the cables. A sample of 10 cables was selected and the diameters (in microns) were 0.493, 0.514, 0.501, 0.511, 0.565, 0.559, 0.529, 0.562, 0.551, and 0.520.

0.531

If Z is a standard normal random variable, find P(-1.96 < Z < 1.96)

0.95

If Z is a standard normal random variable, find P(-1.7 < Z < 2.6).

0.9507

Mean

1+2+3+4/4 Total/Quainty

One of Umbrella Corporation's manufacturing plants makes two independent products, X and Y. The cost to make X is $ 0.33 per unit and the cost to make Y is $ 0.71 per unit. There is a monthly fixed cost of $ 4,893 at the plant. Monthly demand for X and Y is random, but it is known that the variance in demand for X, V(X), is 1,222 and the variance in demand for Y, V(Y), is 2,694.

1,491.12 ± 6%

Find the standard normal z-score with probability 0.0838 to its right, that is, .

1.38

The probability density function f(x) of a random variable X that has a uniform distribution between a and b is

1/b-a

For a random variable X, suppose that it is given that E(X) = 5. What is E(21X+10)?

115

A certain type of IQ score has a mean of 100 and a standard deviation of 10. Find the IQ score that is above 98% of other IQ scores. Round your answer to the nearest whole point.

121

Select the left-skewed histogram from the choices below.

130, 374

The value of the standard normal (Z) distribution with 0.0207 probability to its right (that is,Z 0.0207 ) is

2.04

If Z is a standard normal random variable, find z0.003

2.75

Bob and Barb operate a small bed and breakfast with three rooms. They charge $171 per night for each room. Over the years, they have developed the following probability distribution for the number of rooms rented per night in April, which we will call X. The distribution is shown below.

290.7

One of Umbrella Corporation's manufacturing plants makes two independent products, X and Y. The cost to make X is $ 0.48 per unit and the cost to make Y is $ 0.56 per unit. There is a monthly fixed cost of $ 2,781 at the plant. Monthly demand for X and Y is random, but it is known that the expected demand for X, E(X), is 1,402 and the expected demand for Y, E(Y), is 2,331.

4,759

A manufacturer of energy efficient light bulbs makes a bulb that has a lifetime that is normally distributed with a mean of 9855 hours and a standard deviation of 1115 hours. The manufacturer wants to guarantee that a bulb will last at least y hours and only be incorrect (i.e., have to replace bulbs) 1% of the time. Find y to the nearest whole hour.

7,257

Christine has been keeping track of what she spends on to-go meals. The last week's expenditures were $5.69, $5.95, $6.19, $10.91, $7.49, $14.53, and $7.66. The mean amount Christine spends on to-go meals is _____________(enter your answer without the dollar sign, to two decimal places).

8.35

Which of the following is a true statement about the difference between continuous and discrete random variables?

All of the other choices are true. The possible values of a continuous random variable cannot be listed or counted, while the possible values of a discrete random variable can be listed or counted. requires summing up the probabilities of the values of x between a and b. requires finding the area under the probability distribution curve for Y. But if X is a discrete random variable, then finding the probability between two values a and b, To find the probability that a continuous random variable Y is between two values a and b, which we can write as If Y is a continuous random variable, then the probability of any particular value of y must be zero. But if X is a discrete random variable, the probability of any single value of x does not have to be zero.

Histograms

Below is a histogram of salaries (in dollars) for a sample of marketing managers of publicly traded companies in the U.S. Which of the following correctly describes this chart?

A poll is conducted a few weeks before a state election to determine which of two candidates running for governor has greater support. The polling organization finds that in a sample of 500 registered voters, 55% support Candidate A, 43% support Candidate B, and the rest (2%) responded "Other." What do the numbers 55%, 43%, and 2% represent?

statistics

Suppose a random experiment is recording the number of days from March 31 to April 6 that it rains in Houston. List the points of the sample space, separating each point by a comma. Hint: This problem is not asking for the days of the week that it rains, but on how many days it rains over this time period.

Suppose a random experiment is recording the number of days from March 31 to April 6 that it rains in Houston. List the points of the sample space, separating each point by a comma. Hint: This problem is not asking for the days of the week that it rains, but on how many days it rains over this time period. Selected Answer: 0,1,2,3,4,5,6,7

The experiment is sending a human to Mars in the next 50 years. The sample space is S = {humans land on Mars in 50 years, humans don't land on Mars in 50 years} Suppose you wanted to state the probability of humans landing on Mars in 50 years. What definition of probability would you use?

subjective or Bayesian

For each of the following variables, classify the data as either cross-sectional or time series.

Unemployment in September 2010 broken down by education level. A. cross-sectional Hours spent in safety training for employees of a manufacturing firm. A. cross-sectional Quarterly earnings of Microsoft Corp. B. time series Number of cases of flu reported by the CDC every week during flu season. B. time series Hours of paid leave remaining for employees this year. A. cross-sectional

In 2017, the Pew Internet & Life Project conducted web interviews with a sample of 4787 American adults aged 18 and older about online shopping. It was found that 79% of the participants in the survey reported that they shop online at least occasionally. The figure "79%" refers to a (an)

statistic.

A clothing store uses feedback cards to get comments from its customers about new items. It recently introduced active wear. Customers who purchased the items were asked to fill out an online comment survey giving 10% off the next purchase. The data are summarized below. What percentage of customers were at least satisfied with the item(s) purchased (i.e., satisfied or very satisfied)? 2

Very s 15 satisfied 30 Less than fully satisfied 12 Not satisfied 4

A poll is to be conducted a few weeks before a state election to determine which of two candidates running for governor has greater support. The polling organization will randomly select 500 registered voters in the state to poll. It will record each person's response in a variable called "Preference," with possible values of {Candidate A, Candidate B, Other}. What is the population of interest?

all registered voters in the state

Credit scorecards are used by financial institutions to help them decide to whom loans should be granted. An analysis of records at a large bank produced the following probabilities of loan performance and credit score. Define the following events:

b. The probability of a loan being defaulted given a customer had a score of under 400.

You flip a fair coin twice and you want to state the probability of flipping at least one heads. What definition of probability would you use?

classical

A locally owned spa, Alexander's, is interested in adding a tea room that not only offers specialty teas but an organic lunch menu. In order to determine how many of its regular customers would be interested in such an addition, Alexander's sent out a short e-mail questionnaire. One question asked its customers to indicate how much they spend monthly on all natural, organic products. These data are

cross-sectional.

A ___________________ is a collection of random variables and observations representing a sample from the population.

data set

The human resources department of a large company maintains data on the following variables for all employees: age, employment category, years of education, participation in a wellness program, and paycheck benefit deductions. Which set of variables are categorical?

employment category and participation in a wellness program

A mid-priced chain of hotels, Hometown Suites, collects data on monthly occupancy rates for forecasting and planning purposes. These data are

time series.

For the distribution below, find the variance of X, V(X).

x=10 17 20 p(x=x) .56 ,.32,.12 15.85

Select the right-skewed histogram from the choices below

115, 413 Top Left Coordinates (3, 268) Bottom Right Coordinates (357, 468)

A clothing store uses feedback cards to get comments from its customers about newly added items. It recently introduced maternity. Customers who purchased the items were asked to fill out an online survey giving a discount off the next purchase. The data are summarized in the table below. What percentage of customers would be less likely to purchase another item (i.e., less or not fully satisfied)?

26.2

For the following data set, find the sample mean to one decimal place.16.4 4.8 18.8 86.8 6.9 31.6 33.4 55.6

31.8

Find the median of the following set of data: 11 11 34 16 51 46 74 40 67 25

37

A local organic food store sells a variety of specialty coffees. Management wants to predict the monthly demand for coffee (in pounds) using the price per pound (in dollars). Based on last month's sales, the following scatterplot was created.

-0.902

If the probability of an event A is 0.97, then the probability of Ac =

.03

Suppose A and B are two independent events. If P(A) = 0.42 and P(B) = 0.07, what is P(A ∩ B)

.42*.07= .03

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. The probability that a cell phone sold last month had a camera or a music player is which of the following? Hint: use the rules of probability.

.64+.28-.22=.70

The owners of an Italian restaurant are interested in signing a lease with a restaurant supply company for a new industrial freezer. Before deciding on the model, the owners want to get an idea of how reliable the equipment will be over the three-year term of the lease. For one particular model, the supplier informs the owners that in a given year, 80% of the freezers sold do not need service, 11% need service once, 5% need service twice, 4% need service three times, and none require service more than three times in a year. Considering this information to suggest a probability distribution on the number of repairs, what is the standard deviation of the number of repairs for the freezer per year?

.75

If two events A and B are mutually exclusive then the joint probability P(A and B) =

0

Which of the following is a requirement of the probabilities assigned to the outcomes si in a sample space S?

0 ≤ P(si) ≤ 1 for each i

The owners of an Italian restaurant are interested in signing a lease with a restaurant supply company for a new industrial freezer. Before deciding on the model, the owners want to get an idea of how reliable the equipment will be over the three-year term of the lease. For one particular model, the supplier informs the owners that in a given year, 80% of the freezers sold do not need service, 11% need service once, 5% need service twice, 4% need service three times, and none require service more than three times in a year. Considering this information to suggest a probability distribution on the number of repairs, what is the expected value (or mean) number of repairs for this freezer per year?

0.33 repairs.

A small accounting firm recently leased a new document management device (an all-in-one machine capable of printing, scanning, copying, and faxing) for three years. Reliability was a deciding factor. The company's research found that during any given year, approximately 86% of the devices sold in one particular model required no service in a year, 9% needed one repair, 4% needed two repairs, 1% required three repairs, and none required more than three repairs in a year.

0.55 repairs.

In the game of craps, you lose instantly on the first roll if you roll a sum of 2, 3, or 12, using two fair six-sided dice. Suppose you were to play the game 9 times, and each play is independent of the others, what would be the probability of losing instantly at least once in 9 plays, to three decimal places?

0.654 ± 0.006

The experiment is flipping a fair coin twice. Let A be the event "the first toss is heads" and B be the event "the second toss is heads." What is P(A U B)?

0.75

A histogram has been created with the following bins. What is the cumulative relative frequency for bin 4 to two decimal places? Report your answer as a proportion, not a percent. For example, if the answer is 23/50 = 0.46, report 0.46, not 46%.

0.96 ± 0.09

Netflix Inc. is a large and extraordinarily popular streaming media and video-on-demand provider accessible to customers in almost every country in the world. Part of the reason for its success has been its adoption of business analytics, the use of statistical analysis techniques to extract information from data that can be used in strategic planning. Key components of the Netflix supply chain are the "content partners," studios or production companies that provide the audio and video for media as well as supporting content such as subtitles and closed captioning (the company calls these elements, collectively, "assets.") A recent issue facing the company was inconsistent quality in the assets it was receiving from some of its content partners. Using a technique called "predictive quality control," Netflix was able to build a statistical model that could predict the probability of a defect in an asset based on several factors, such as the age and the genre of the media it was associated with. Let D be the event {an asset is defective}, and suppose the model predicts that P(D) = 0.734. What is P(Dc), the complement of the event D, to three decimal places?

1-.734=.27

Suppose the experiment is rolling two fair six-sided dice to get out of jail for free in the game of Monopoly. You get out of jail if you roll "doubles" (two of the same number, like (2,2)). Let D be the event "you roll doubles." Find P(D).

1/6

A call center manager wants to get an idea of how long the support technicians on his shift are spending on the phone giving customers technical support. For one week, he gathers 959 call times (in seconds) from his shift. If he wants to make a histogram to visualize the data, how many bins should he use according to Sturges's rule?

11

A restaurant uses comment cards to get feedback. It recently introduced homemade veggie burgers. Customers who tried the new burger were asked if they would order it again. The data are summarized in the table below. Rounded to the nearest whole percentage, what percentage of customers would definitely order the veggie burger again?

15%

A company interested in the health of its employees started a health program including monitoring blood pressure. Based on age, employees were categorized according to ranges of blood pressure by age intervals. Data are shown in the table below.

15.0% (72/480).

The following numbers represent the weights (in pounds) of a random sample of 25 police officers: 164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171. Find the 70th percentile.

168

Alan is interested in purchasing a pre-owned sport utility vehicle (SUV). He wants to get an idea of how variable the prices are in his area, so he inputs the specifications of the vehicle he wants into edmunds.com, the website of a well-known automotive valuation company, and performs a search. He obtains the following six prices (in thousands of dollars): 34.3, 34.4, 30.3, 30, 31.3, 29.6.

2.166

An HEB grocery store has determined that daily demand for milk containers has an approximate bell shaped distribution, with a mean of 55 containers and a standard deviation of 6 containers. How often can we expect more than 67 containers to be sold in a day?

2.5%

An HEB grocery store has determined that daily demand for milk containers has an approximate bell shaped distribution, with a mean of 55 containers and a standard deviation of 6 containers. How often can we expect more than 67 containers to be sold in a day? Hint: use the 68-95-99.7 rule and the fact that the histogram is symmetric around the mean of 55.

2.5%

The following data on the weekly online gaming time (in hours) of a sample of college students is as follows: 5, 11, 25, 19, 18, 20, 27, 13, 8, 10, 15, 19, 18, 9, and 12. Compute the sample range.

22

An insurance company is considering offering fire insurance to customers in a certain state. After examining thousands of records of insurance claims in the area, they have come up with the following information:

4,983.474 Payout $57,805 25,120 0 =8925 Number of Claims 24 630 2800 =3054

A survey was carried out to determine public opinion on an immigration law (results shown below). What percent opposes the law?

48%

Suppose that it is given that V(X) = 84.6. What is V(8 X + 29)?

5,414 ± 10%

Suppose that the experiment is asking 4 students at SHSU what their classification is (either freshman, sophomore, junior, senior, or graduate), one after the other. How many outcomes would be in the sample space S?

625 5x5x5x5x5 = 5^5

A company interested in the health of its employees started a health program including monitoring blood pressure. Based on age, employees were categorized according to ranges of blood pressure by age intervals. Data are shown in the table below. 2

67.9% (326/480).

An HEB grocery store has determined that daily demand for milk containers has an approximate bell shaped distribution, with a mean of 55 containers and a standard deviation of 6 containers. How often can we expect between 49 and 61 containers to be sold in a day, according to the 68-95-99.7 rule?

68%

A histogram has been created with the following bins: What is the bin width (or class width)?

7

The number of hours Chase spent studying during each day of finals week was recorded as follows: 7,6, 4, 9, 8, 5, and 10. Compute the sample median to one decimal place.

7

Christine has been keeping track of what she spends on to-go meals. The last week's expenditures were $5.69, $5.95, $6.19, $10.91, $7.49, $14.53, and $7.66. The median amount Christine spends on to-go meals is _____________(enter your answer without the dollar sign, to two decimal places).

7.49

A clothing store uses feedback cards to get comments from its customers about new items. It recently introduced active wear. Customers who purchased the items were asked to fill out an online comment survey giving 10% off the next purchase. The data are summarized below. What percentage of customers were at least satisfied with the item(s) purchased (i.e., satisfied or very satisfied)?

73.8%

A histogram has been created with the following bins:

9

Chebyshev's Theorem states that for any distribution of data, the percentage of observations in a data set that fall within 4 standard deviations of the mean is at least _______________. Enter your answer as a percentage to one (1) decimal place without the % sign.

93.75

A consulting firm conducted an online survey of consumers in the U.S. The goal of the study was to understand shopping patterns around the Christmas holidays. One of the questions in the survey was "What is your reason for shopping late in the season?", which was asked as a follow-up question if the survey respondent responded "yes" to another question asking if he or she began shopping at the last minute. The data are

All of these could be used to summarize the data. Pie charts Contingency table. individual bar charts for each gender Side-by-side-bar chart.

movie industry analyst has calculated some numerical summaries on a data set consisting of a sample of movies released nationwide over the last three years. Several numeric variables were examined, including: budget (in $millions), revenue (in $millions), number of weeks in theaters ["weeks"], and length (in hours). The analyst reports that the standard deviations for these variables are as follows:

revenue

A histogram was constructed using the following table. If you were to construct the histogram, what type of shape would it have?

right skewed

Below is a histogram of salaries (in dollars) for a sample of marketing managers of publicly traded companies in the U.S. Which of the following correctly describes this chart?

right skewed

Below is a histogram of salaries (in dollars) for a sample of marketing managers of publicly traded companies in the U.S. Which of the following correctly describes this chart? 2

right skewed

A _________refers to a subset, or smaller collection, of observations from the population.

sample

If X is a discrete random variable, then E(X) must be a possible value of the random variable.

False

recent survey of local smartphone retailers showed that of all smartphones sold last month, 64% had a camera, 28% had a music player and 22% had both. Which of the following statements about smartphones sold last month must be true?

Having a camera and having a music player are not mutually exclusive events.

Which of the following is (are) based on cross sectional data?I. Company quarterly profits II. Percentage of American adults who work full time III. Dow Jones Index

II only

Which of the following is (are) based on cross sectional data?I. Company quarterly profits II. Percentage of American adults who work full time III. Dow Jones Index Data were collected on the hourly wages (in dollars) for two types of marketing managers at large publicly traded companies in the U.S.: (1) advertising / promotion managers and (2) sales managers. The results were used to create the following histograms, with the graph for (1) on the left and (2) on the right. Which of the following statements is true? I. The distribution of hourly wages for sales managers is unimodal and skewed right .II. The distribution of hourly wages for advertising/promotion managers is unimodal and skewed left .III. The distribution of hourly wages for sales managers is unimodal and skewed left .IV. It appears that sales managers earn a lower hourly wage compared to advertising/promotion managers.

II only

Which of the following is (are) based on cross sectional data?I. Company quarterly profits II. Percentage of American adults who work full time III. Historical closing stock prices

II only

One method of classifying outliers in a data set is the _________________criterion.

IQR

In the table above, find P(X = 7) to three decimal places. Hint: What is one of the properties of a valid probability distribution?

P(X=x) .538 .213 0.249 P(X = 2) + P(X = 5) + P(X = 7) = 1.

A clothing store uses feedback cards to get comments from customers. It recently introduced maternity wear. Customers who purchased the items were asked to fill out an online comment survey giving 10% off the next purchase. The data are summarized in the table below. Which of the following would be an appropriate method for displaying the data shown in the table? *Histogram*

Pie chart or bar chart

Aaron, Danielle, Sam, Travis, and Raymond work in a marketing firm. Two of them will have an opportunity to go to a prestigious conference in Italy, all expenses paid. Normally, the two top-performing employees would be rewarded with this exciting opportunity, but this year, each of them has performed so well that their team leader cannot decide which two should go. To ensure that the decision is made fairly, each of the five employees is asked to write down the first letter of his or her first name on a slip of paper and place it in a hat (thus, A = Aaron, D = Danielle, etc.) The team leader will draw out two names randomly, and the persons drawn will go to the conference. An outcome of the drawing will be indicated by the two letters of the first names of the persons drawn. For example, if Aaron and Sam are drawn, the outcome "AS" will have occurred. For simplicity, since the order in which the names are drawn does not matter (e.g., AS and SA both indicate that Sam and Aaron were chosen), only the unique letter pairs will be considered as the outcomes for this problem. Which of the following represents the sample space for the experiment?

S = {AD, AS, AT, AR, DS, DT, DR, ST, SR, TR}

website for Umbrella Bank allows customers to perform many routine banking tasks such as paying bills, transferring money, and tracking purchases. The site requires users to sign in with a username and password. For security reasons, after 5 failed sign-in attempts over a 15-minute span, the bank locks the customer's online account and requires that he or she contact the bank to obtain a new password. Joe is a customer of Umbrella Bank who can't remember his password exactly. The random experiment is his attempt to sign in to his online account over the next 15 minutes before being locked out of his account. Once he logs in successfully one time, the experiment ends. Let F indicate a failed sign-in attempt and L indicate a successful sign-in attempt. What is the sample space in terms of F and L?

S = {L,FL, FFL, FFFL, FFFFL,FFFFF}

A fast-food company is interested in examining whether reducing the number of menu items will increase revenue. Before introducing the new menu nationwide, the company wants to test it in a sample of markets. Using the database that contains information on the locations of all of its franchisees' stores, the company randomly selects a collection of 50 stores in major markets in the U.S. Of the 50, half were given the new menu and half were told to continue using the old menu. Sales from the stores in both groups were tracked for six weeks. After analyzing the data, management concluded, with a high degree of confidence, that using the new menu nationwide would increase revenue by an average of 20 to 30 percent, This conclusion is an example of a (an)

inference about a population/process

A non-profit health care policy organization conducted a study on the affordability of arthritis drugs. One of the variables measured was the cost of the drug to patients without insurance. Cost

is a quantitative variable.

The following boxplots show monthly sales revenue figures (in thousands of dollars) for a discount office supply company with locations in three different regions of the U.S. (Northeast, Southeast, and West). Which of the following statements is true?

The Southeast has the lowest median sales revenue.

Suppose you wanted to see if a coin that you found on the ground was fair in the sense that "heads" and "tails" are equally likely. You flip the coin 100 times and record whether the outcome is heads or tails, and you decide that the proportion of times the coin lands "heads" is the probability of heads for that coin. What definition of probability are you using?

long-run frequency

A survey asked a sample of adults to report their marital status. The possible answer choices were {single, married, divorced, widowed, other}. What kind of data are the survey responses?

nominal

Think of observing a large number of independent "trials," or repeats, of some random experiment and let E be some event of interest. For example, the experiment could represent flipping a (possibly weighted) coin or rolling a (possibly weighted) die thousands of times and looking for "heads" or "6" to come up (respectively), or betting on a particular number in a game of roulette over and over, or watching a particular stock price over hundreds of days and noting which days the price was up or down, or any other experiment that is repeatable but whose outcome on each trial is random. Match each one of the following statements about the event E to the number that best represents or describes it, in the context of probability theory.

The event E cannot happen (or is impossible). 5.0 The event E is guaranteed to occur (or is certain to occur). 3.1 The event E is very unlikely to occur, but it is possible and will occur occasionally. 2. 0.03 The event E is very likely to occur, but there is a small chance that it won't. 7. 0.99 The event E will occur about as often as it doesn't occur. 4. 0.51 The event E will occur more often than not. 1. 0.75 This number is not a valid probability. 6. 1.09

Umbrella Corporation has developed a new test for a disease. Before it can get government approval, it must show that the probability of having the disease, given a positive result, is high. The company recruited a large number of individuals whose disease status (either disease free or having the disease) was known and administered the new test. The results are shown in the table below. Let N = "does not have the disease" and T = "tests positive." What is P(T|N) in words? Read carefully

The probability that a person tests positive for the disease, given that they do not have the disease. Has Disease Positive =50 Negative =15 Does not have disease Positive = 10 Negative =150

A(n) ____________________ is an observation that is unusually small or large compared with the rest of the data.

outlier

After a state-wide election, the Secretary of State certified that Candidate A won the full election with 56% of the vote when all ballots were counted. What does the number "56%" represent?

parameter

_____________describe populations or processes, while _____________describe samples.

parameters; statistics

Some of the variables for which data were collected in a Nielsen survey on television viewing include the age, gender, and income of the respondent in the survey, and the type of device that is used most often to watch television. Which of the following variables is categorical?

gender and type of device used most often to watch television

Many home pregnancy tests advertise that they are 99% accurate. To get this number, the manufacturer will take a large sample of women that are known to be pregnant and administer the test to them. It will then determine the proportion of all the pregnant women in the sample who got a positive result. What definition of probability would the manufacturer be using?

relative or long-run frequency

A company is interested in the work experience of that recent graduates from a local business school at a university have. Using information from the university's alumni association, the company sent out a survey to a random sample of 400 recent graduates asking them to report the total number of years of work experience they have, including any work done while earning their degree. The company finds that the average number of years of work experience was 7.1. The figure "7.1" represents a

statistic

A pharmaceutical company is studying the effects of a new antidepressant medication on teenage patients with depression and anxiety. In a sample of 500 teenagers age 13-17, 3 patients (0.6%) reported having worsening symptoms of depression. The figure 0.6% represents a(n)

statistic

Determine whether the type of variable being described is numeric or categorical, and match the description to the correct classification.

the brand of soft drink that a consumer last remembers seeing an ad for: Coca-Cola, Pepsi, Sprite, Diet Coke, Dr. Pepper. A. categorical the first letter of the first name of a baby born in 2015 A. categorical the number of visitors a website receives in a month B. numeric the daily return of a stock, measured as a percentage change in the price from the previous trading day B. numeric the age of a person participating in a half marathon B. numeric the title of a television network viewer's favorite show (e.g., The Walking Dead, American Horror Story, etc.) A. categorical the time (in days) required for a small accounting firm to complete a yearly audit for a client B. numeric the overall quality rating (terrible, poor, average, very good, or excellent) a hotel receives from a guest A. categorical

American Bank randomly assigns six-digit PIN codes to their debit cards. Suppose your American Bank debit card is stolen and the thief wants to use your PIN to steal money from your account. The set of possible PINs is

{999099,999199,999299,999399,999499,999599,999699,999799,999899,999999}