STATS-TMTH 3360

Complete the sentence with the best choice. In Excel, the _____ button can be used to format a number to dollars and cents.

$

The Excel operator for multiplication is

*

Given the following sample data set: 8, 7, 1, 4, 6, 6, 4, 5, 7, 6, 3, 0. Calculate the z-score for the smallest observation.

-1.94

The Excel operator for division is

/

An experiment consists of tossing a single die and observing the number of dots that show on the upper face. Events A, B, C are defined as follows: A: Observe a number less than 4 B: Observe a number less than or equal to 2. C: Observe a number greater than 3. Find P(A intersect C).

0

A smoke detector system uses two devices, A and B. If smoke is present the probability that it will be detected by device A is 0.95; by device B is 0.98; and by both devices, 0.94. Find the probability that the smoke will not be detected.

0.01

The data listed here are the weights (in pounds) of 27 packages Of ground beef in a supermarket meat display: 1.08 0.87 0.99 0.89 0.97 0.89 1.18 0.96 1.41 1.12 1.28 1.12 0.83 0.93 1.06 1.24 1.14 0.89 1.38 0.98 0.75 1.14 0.96 0.92 1.08 1.18 1.17 Find the standard deviation of the data set.

0.166

A study of the behavior of a large number of drug offenders after treatment for drug abuse suggests that the likelihood of conviction within a two year period after treatment may depend on the offender's education. The proportion of the total number of cases that fall into the four education/conviction categories are shown below: Status within 2 years After treatment Education Convicted Not convicted Totals 10 Years or more 0.1 0.3 0.4 9years or less 0.27 0.33 0.6 Totals 0.37 0.63 1 Suppose a single offender is selected from the treatment program. Here are the events of interest: A: The offender has 10 or more years of education B: The offender is convicted within 2 years after completion of treatment. Find P(B)

0.37

A survey classified a large number of adults according to whether they were judged to need eyeglasses to correct their reading vision and whether they used glasses when reading. The proportion falling into the four categories are shown in the table. (Note that a small proportion, 0.02, of adults used glasses when in fact they were judged not to need them.) Used eyeglasses for reading Judged to need eyeglasses Yes No Yes 0.44 0.14 No 0.02 0.4 A single adult is selected from this large group. Find the probability that the adult uses eyeglasses for reading whether he or she needs them or not.

0.46

A distribution of measurements is relatively mound-shaped with mean 50 and standard deviation 10. What proportion of the measurements will fall between 30 and 60?

0.81

An experiment consists of tossing a single die and observing the number of dots that show on the upper face. Events A, B, C are defined as follows: A: Observe a number less than 4 B: Observe a number less than or equal to 2. C: Observe a number greater than 3. Find P(A union C).

1

Complete the sentence: The sum of relative frequencies found in a relative frequency distribution for quantitative data equals _____.

1

You are given n = 5 measurements: 0, 5, 1, 1, 3. Find the median

1

The data listed here are the weights (in pounds) of 27 packages Of ground beef in a supermarket meat display: 1.08 0.87 0.99 0.89 0.97 0.89 1.18 0.96 1.41 1.12 1.28 1.12 0.83 0.93 1.06 1.24 1.14 0.89 1.38 0.98 0.75 1.14 0.96 0.92 1.08 1.18 1.17 Find the mean of the data set.

1.05

A random variable x has this probability distribution: x 0 1 2 3 4 5 p(X) 0.1 0.3 0.4 0.1 ? 0.05 Find s2

1.43

Professor Issac Asimov was one of the prolific writers of all time. He wrote nearly 500 books during a 40year career prior to death in 1992. In fact, as his career progressed, he became even more productive in terms of the number of books written within a given period of time. These data are times required to write his books, In increments of 100s. Number of books (y) 100 200 300 400 490 Time in months (x) 237 350 419 465 507 What is the slope of the best fitting line?

1.4306

An experiment involves tossing a die. These are some of the events: A: Observe a 2 B: Observe an even number C: Observe a number greater than 2 D: Observe both A and B E: Observer A or B or both F: Observe both A and C Find p(B)

1/2

An experiment consists of tossing a single die and observing the number of dots that show on the upper face. Events A, B, C are defined as follows: A: Observe a number less than 4 B: Observe a number less than or equal to 2. C: Observe a number greater than 3. Find P(A intersect B).

1/3

The game of roulette uses a wheel containing 38 pockets. Thirty-six pockets are numbered 1,2...36, and the remaining two are marked 0 and 00. The wheel is spun, and a pocket is identified as winner. Assume that the observance of any one pocket is just as likely as any other. What is the probability of observing a 00?

1/38

The game of roulette uses a wheel containing 38 pockets. Thirty-six pockets are numbered 1,2...36, and the remaining two are marked 0 and 00. The wheel is spun, and a pocket is identified as winner. Assume that the observance of any one pocket is just as likely as any other. What is the probability of observing a 9?

1/38

QUIZ 2!!!!!!!!!!!!!!!!!!!!!!!!!!!!! The data listed here are the weights (in pounds) of 27 packages Of ground beef in a supermarket meat display: 1.08 0.87 0.99 0.89 0.97 0.89 1.18 0.96 1.41 1.12 1.28 1.12 0.83 0.93 1.06 1.24 1.14 0.89 1.38 0.98 0.75 1.14 0.96 0.92 1.08 1.18 1.17 Find the percentage of measurements in the interval x-bar ± 3s.

100%

These data relate the amount spent on groceries per week and the numbers of household members are x y 2 45.75 2 60.19 3 68.33 4 100.92 1 35.86 5 130.62 What would you estimate a household of six spend on groceries per week?

149.06

You are given n = 5 measurements: 2, 1, 1, 3, 5. Calculate the sample mean.

2.4

You are given n = 5 measurements: 2, 1, 1, 3, 5. Calculate the sample variance, s^2.

2.80

In a psychological experiment, the time on task was recorded for 10 subjects under a 5-minute time constraint. The measurements are in seconds: 175 190 250 230 240 200 185 190 225 265 Find the average median time on task

212.5

In a psychological experiment, the time on task was recorded for 10 subjects under a 5-minute time constraint. The measurements are in seconds: 175 190 250 230 240 200 185 190 225 265 Find the mean time on task

215

These data relate the amount spent on groceries per week and the numbers of household members are x y 2 45.75 2 60.19 3 68.33 4 100.92 1 35.86 5 130.62 What is the slope of the best fitting line?

23.826

These data relate the amount spent on groceries per week and the numbers of household members are x y 2 45.75 2 60.19 3 68.33 4 100.92 1 35.86 5 130.62 What is the slope of the best fitting line? (write it exactly in the form y = a + bx with no changes in puntuation)

23.826

Investors are becoming more and amore concerned about the securities fraud, especially involving initial public offering. During the six-year period, the number of the number of federal securities-fraud class action suits has continued to increase: Year Suits 1996 110 1997 178 1998 236 1999 205 2000 211 2001 282 What is the slope of the best fitting line?

26.514

Fifty people are grouped into four categories- A, B, C and D- and the number of people who fall into each category is shown in the table: Category Frequency A 11 B 14 C 20 D 5 What proportion of the people are in category B?

28%

Investors are becoming more and amore concerned about the securities fraud, especially involving initial public offering. During the six-year period, the number of the number of federal securities-fraud class action suits has continued to increase: Year Suits 1996 110 1997 178 1998 236 1999 205 2000 211 2001 282 Predict the number of class action suits in the year 2002.

297

Given the following sample data set: 8, 7, 1, 4, 6, 6, 4, 5, 7, 6, 3, 0. Find the IQR

3.5

Fifty people are grouped into four categories- A, B, C and D- and the number of people who fall into each category is shown in the table: Category Frequency A 11 B 14 C 20 D 5 What proportion of the people are in category C?

40%

An experiment consists of tossing a single die and observing the number of dots that show on the upper face. Events A, B, C are defined as follows: A: Observe a number less than 4 B: Observe a number less than or equal to 2. C: Observe a number greater than 3. Find P(B union C).

5/6

These data relate the amount spent on groceries per week and the numbers of household members are x y 2 45.75 2 60.19 3 68.33 4 100.92 1 35.86 5 130.62 What is the y-intercept of the best fitting line?

6.1

A garbage carrier would like to begin charging customers based on the weight of each customer's garbage instead of the number of garbage cans. The weight (in pounds) of 90 randomly selected cans of garbage are summarized in the table below. What percentage of the garbage cans contain less than 20.9 pounds?

64.4%

Given the following sample data set: 3, 9, 10, 2, 6, 7, 5, 8, 6, 6, 4, 9, 22 Find the upper quartile

9

A distribution of measurements is relatively mound-shaped with mean 50 and standard deviation 10. What proportion of the measurements will fall between 30 and 70?

95%

In an Excel calculation, what symbol must begin the statement?

=

A number is stored in cell C24. In cell D24, you wish to calculate 5% of the number stored in cell C24. To accomplish this, what formula should be entered in cell D24?

= 0.05*C24

In an Excel spreadsheet, the total number of observations is stored in cell B9 and a particular class frequency is stored in cell B2. Write an Excel formula that would calculate the relative frequency (as a decimal) of this particular class.

=B2/B9

In an Excel spreadsheet, a set of numbers is stored in cells B1, B2, B3, ..., B9. Write an Excel formula that would calculate the mode of this data.

=MODE(B1:B9)

In an Excel spreadsheet, a set of numbers is stored in cells B1, B2, B3, ..., B9. Write an Excel formula that would calculate the standard deviation of this data.

=STDEV(B1:B9)

In an Excel spreadsheet, a set of numbers is stored in cells B1, B2, B3, ..., B9. Write an Excel formula that would calculate the variance of this data.

=VAR(B1:B9)

Which of the following are continuous variables? · (A) Average monthly temperature for a particular city · (B) Number of students in a class that own laptop computers · (C) Flight time between two cities · (D) Number of puppies enrolled in an obedience class · (E) Number of gallons purchased at a gas station

A, C, and E

A dollar amount is stored in cell D22. Which Excel formula will calculate a 30% discount?

All of the above

Which of the following statements is true?

All of the above statements are true

For 20 days, the librarian of a small community library has compiled the number of people who visited the library and the respective number of books checked out for the day. The results are shown in the line graph below. Which is the best interpretation of the line graph?

As the number of library visitors increase, the number of books checked out increases. As the number of library visitors decrease, the number of books checked out decreases.

Complete the sentence with the best choice: The Excel button that adds up a column of numbers is the

Auto Sum button, Σ.

The first step in the solution of a simple regression problem is to :

Calculate the mean of the independent variable, the mean of the dependent variable, and use them to calculate the correlation coefficient.

Construct a box-plot for these data and identify any outliers: 3, 9, 10, 2, 6, 7, 5, 8, 6, 6, 4, 9, 22 The z-score for the largest observation Is unusually large

False

Which of the following is always true for two events, A and B?

If A and B are mutually exclusive, then the intersection of A and B can never occur on the same trial of an experiment.

In an Excel spreadsheet, a set of numbers is stored in cells B1, B2, B3, ..., B9. Write an Excel formula that would calculate the range of this data.

None of the above

QUIZ 1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Identify the variable as quantitative or qualitative: State in which a person lives

Qualitative

The 1960s generation was never as radical as it was portrayed. According to an Opinion poll in the American Enterprise, when a group of 30-40 year-olds were asked to describe their political views in the 1960s and early 1970s, they gave these responses: Conservative 28% Moderate 35% Liberal 31% Radical 6% Is the variable qualitative or quantitative?

Qualitative

Identify the variable as quantitative or qualitative: Amount of time it takes to assemble a simple puzzle

Quantitative

Identify the variable as quantitative or qualitative: Number of students in a first-grade classroom.

Quantitative

Complete the sentence: The stem-and-leaf plot is used to display the distribution of _____.

Quantitative data

The demand for healthy foods that are now low in fats and calories has resulted in a large number of "low fat" and "fat free" products at the supermarket. The table shows the number of calories and the amounts of sodium per slice for five different fat free brands of American cheese: Brand sodium(mg) calories Kraft Fat Free Singles 300 30 Hill Country Fare Fat Free Singles 300 30 Borden Fat Free Singles 320 30 Healthy Choice Fat Free Singles 290 30 Smart Beat American Slices 180 25 Based only on the relationship between sodium and calories, which of the five brands should you buy?

SMART BEAT AMERICAN SLICES

An experiment involves tossing a die. These are some of the events: A: Observe a 2 B: Observe an even number C: Observe a number greater than 2 D: Observe both A and B E: Observer A or B or both F: Observe both A and C Find P(A and C)

Selected Answer: Incorrect 2. 5/6 Correct Answer: Correct 3. 0

Given the following sample data set: 3, 9, 10, 2, 6, 7, 5, 8, 6, 6, 4, 9, 22 Find the lower quartile

Selected Answer: Partially Correct3. 4.5 Correct Answer: Correct2. 5

The table below shows the average amounts spent per week by men and women In each of four spending categories: A B C D Men $54 $27 $105 $22 Women $21 $85 $100 $75 What method provides the best descriptive graph?

Side by side bar charts

A manufacturer of jeans has plants in California, Arizona, and Texas. A group of 25 pairs of jeans is randomly selected from the computerized database, and the state in which each is produced is recorded. What is the variable being measured?

State where jeans are manufactured

In a study to determine the relationship between two random variables, a correlation coefficient of -0.90 was obtained. What does this mean?

The dependent variable y tends to decrease as the independent variable x increases.

A study was performed to examine preferences for various types of potatoes: Mashed, French Fries, Hash Browns, Steak Fries, and Baked. The data below shows the preferences for 150 people. Which graph best represents the given data?

The most detailed graph

A real estate agent is interested in knowing whether there is a linear relationship between the age of a home for sale and the selling price of that home. Consider the following data and the scatterplot. Interpret the data.

The points on the scatterplot are too scattered, showing no particular linear relationship.

The owner of a restaurant would like to see a graphical display of the number of customers that the restaurant serves. The line graph below shows the average number of customers served daily for the last 12 months. Which is the best interpretation of the line graph?

The restaurant serves the most customers in November and December. It also has a peak in mid-summer and dips in the spring and fall.

True or False? Excel contains Copy and Paste features.

True

The Excel operator for exponentiation is

^

Complete the sentence: In general, if two variables are unrelated (as one increases, the other shows no pattern), the covariance will be _____.

a positive number or negative number close to zero

QUIZ 3!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A scatter diagram is constructed to aid in investigating the relationship between vocabulary test scores and incomes of a group of persons. Which of the following questions about the relationship can be studied with aid of scatter diagram? As personal income increases, vocabulary test scores increase. As personal income decreases, vocabulary test scores increase. As personal income increases, vocabulary test scores decrease. As personal income decreases, vocabulary test scores decrease.

all can be studied

QUIZ 4!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Complete the sentence: Any subset of the sample space is called _____.

an event

Complete the sentence: In constructing a scatterplot, it would not be appropriate to _____.

connect the adjacent data points on the graph with straight lines

Identify the following as discrete or continuous random variables: Height of the oceans tide at a given location.

continuous

Identify the following as discrete or continuous random variables: Shelf life of a particular drug.

continuous

Complete the sentence: Given n observations, a data class with a frequency f has a relative class frequency of _____.

f/n

Professor Issac Asimov was one of the prolific writers of all time. He wrote nearly 500 books during a 40year career prior to death in 1992. In fact, as his career progressed, he became even more productive in terms of the number of books written within a given period of time. These data are times required to write his books, In increments of 100s. Number of books (y) 100 200 300 400 490 Time in months (x) 237 350 419 465 507 The relation ship between the two appears to be linear.

false

Complete the sentence: If the manager of a grocery wishes to display the sales trend, the most effective type of graph would be a _____.

line chart

Which of the following is the most frequently used measure of variation?

standard deviation

Complete the sentence: In Excel, the _____ function is used to total the values in a column or row.

sum

Complete the sentence: Descriptive statistics deals with methods of ____.

summarizing data

Complete the sentence: In the regression equation , Y = 3.25 + 2.5*X , the coefficient of the variable x indicates _____.

that a one-unit change in X is associated with a 2.5 unit change in Y.

Complete the sentence: The sum of the frequencies for all classes of a histogram will always equal ____.

the total number of observations in the data set

Which is a useful graphical method of displaying the sample space of an experiment?

tree diagram

Complete the sentence: The ____ is the event that either A or B will occur.

union of two events A and B

Complete the sentence with the best choice: When MicroSoft Excel program is opened, you are presented with a(n)_____.

workbook

A manufacturing firm producing odd-sized, decorative windows buys the window frames from either supplier S1 or supplier S2. The firm sells the finished window to either customer C1 or customer C2. Describe the sample space; the list of all possible supplier-customer combinations, which a finished window might represent.

{(C1, S1), (C1, S2), (C2, S1), (C2, S2)}