MATH 1342 Exam 1 Review
Consider the following frequency table representing the distribution of the length of a morning walk with the dog (in miles) Length of a Walk (in Miles) 0.30-0.35 14 0.36-0.41 11 0.42-0.47 4 0.48-0.53 12 0.54-0.59 9 Determine the midpoint for the second class.
.385
Consider the following frequency table representing the distribution of the length of a morning walk with the dog (in miles) Length of a Walk (in Miles) 0.30-0.41 7 0.42-0.53 12 0.54-0.65 7 0.66-0.77 11 0.78-0.89 6 Determine the midpoint for the third class.
.595
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 9,9,9,9,9,9 Copy Data
0,0,0
Suppose that IQ scores have a bell-shaped distribution with a mean of 97 and a standard deviation of 17. Using the empirical rule, what percentage of IQ scores are at least 114? Please do not round your answer.
15.87%
A midsize mobile carrier keeps records of complaints received from its customers. Complaints for last month are listed in the following table. What percent of the complaints are due to the categories Poor tech support or Frequently drops calls? Round your answer to two decimal places, if necessary. Customer Complaints Type of Complaint Poor coverage 118 Too expensive 99 Extra data usage charges 87 Long customer service wait times 92 Poor tech support 106 Incorrect billing 89 Insurance doesn't cover loss/theft 43 Frequently drops calls 156
33.16%
Consider the following data: 9,9,9,0,0,8,0 Calculate the value of the sample standard deviation. Round your answer to one decimal place.
4.7
Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 17. Using the empirical rule, what percentage of IQ scores are between 87 and 121?
68%
A local refrigerator repair shop keeps records of complaints received from its customers. Complaints for last month are listed in the following table. What percent of the complaints are due to the category Freezing food? Round your answer to two decimal places, if necessary. Customer Complaints Type Not cold enough 36 Water dispenser not working 6 Ice maker not working 34 Ice dispenser not working 21 Noisy or loud 17 Leaking water 32 Freezing food 20 Ice-maker overflowing 18 Light not working 33 Runs constantly 17
8.55%
Consider the following data: 9,9,9,0,0,8,0 Calculate the value of the range.
9
Fill in the blank with the most appropriate term. A company did a study on the physical activity level and weight gain of its employees. Age was not considered so it might be an example of a(n) .
Confounding variable
Fill in the blank with the most appropriate term. _________are additional variables that were not measured but affected the outcomes in a study.
Confounding variables
Speeds of cars driving on the highway are an example of which type of data?
Continuous
Determine if the numerical value describes a population parameter or a sample statistic. The average price of a car at the new car dealership in town is $28,400.
Population parameter
Identify the population being studied and the sample chosen. The heights of 4 out of the 36 pepper plants at Mr. Lonardo's greenhouse.
Population: The 36 pepper plants at Mr. Lonardo's house. Sample: The 4 pepper plants at Mr. Lonardo's garden.
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. You toss a coin and record "head" as 1 and "tail" as 2.
Qualitative, Neither, Nominal
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. Fifty people were asked to respond to a survey question regarding how frequently they used their credit card. The categories they were asked to choose from are given below: 1) Infrequently 2) Sometimes 3) Frequently
Qualitative, Neither, Ordinal
Boiling points in degrees Celsius for various substances are an example of which type of data?
Quantitative
A local car dealership keeps records of complaints received from its customers. Complaints for last month are listed in the following table. What percent of the complaints are due to the category Transmission Slippage? Round your answer to two decimal places, if necessary. Customer Complaints Type Premature Brake Wear 17 Transmission Failure 14 Transmission Slippage 29 Coolant Leaking 7 Premature Brake and Rotor Wear 11 Excessive Oil Consumption 20 Body/Paint Defects 19 AC/Heater Issues 22 Seat Belts/Air Bags Malfunctions 13 Exhaust System Issues 4 Electrical System Malfunctions 27 Suspension Issues 9
15.10%
Consider the following data: 9,9,9,0,0,8,0 Calculate the value of the sample variance. Round your answer to one decimal place.
22
Suppose that IQ scores have a bell-shaped distribution with a mean of 99 and a standard deviation of 17. Using the empirical rule, what percentage of IQ scores are between 82 and 116?
68%
IQ scores, reported in whole numbers, of research scientists are an example of which type of data?
Discrete
Decide if the following statement is true or false. It is possible to have a standard deviation of −1 for some data set.
False
Clara is looking into investing a portion of her recent bonus into the stock market. While researching different companies, she discovers the following standard deviations of one year of daily stock closing prices. Perfect Plungers Plus: Standard deviation of stock prices =$9.72 Garden Statues Express: Standard deviation of stock prices =$1.23 Based on the data and assuming these trends continue, which company would give Clara a stable long-term investment?
Garden Statues Express; the smaller standard deviation indicates that Garden Statues Express has less variability in its closing prices than Perfect Plungers Plus.
Determine whether the statement describes a descriptive or inferential statistic. A recent poll of 3054 luxury car owners in Ohio showed that the average price of a luxury car in the U.S. is $49,700.
Inferential Statistic
Hair colors are an example of which type of data?
Neither
Determine whether an observational or experimental study is appropriate to address the following statement. A deli cart entrepreneur wants to identify the number of cars passing a billboard in a day.
Observational
In a laboratory experiment the control group is often given a _______.
Placebo
Determine whether the statement describes a population or a sample. The amount of money each person in your psychology class spends on clothes in a month.
Population
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The temperature in Celsius at different locations in an Italian city.
Quantitative, Continuous, Interval
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The IQ scores of students at the local college.
Quantitative, Discrete, Interval
Identify the sample chosen for the study. The number of times 11 out of 30 students on your floor order fast food in a week.
The 11 students on your floor.
Identify the population being studied. The number of times 12 out of 31 students on your floor order pizza in a week.
The 31 students on your floor.
Decide if the following statement about graphs is true or false. If the data was taken from another source, the source should be indicated.
True
In a ______-_______experiment, neither the participant nor those conducting the experiment know whether the participant will receive a placebo.
double-blind
Suits of playing cards are an example of which type of data?
neither
In order to help decide when and where to advertise, an appliance repair company decided to pull invoices and tally what types of appliances were repaired. There were twenty-five appliances repaired that month. What is the level of measurement for the data? Are the data qualitative or quantitative?
nominal, qualitative
In order to help decide when and where to advertise, an electronics repair company decided to pull invoices and tally what types of devices were repaired. There were twenty-five devices repaired that month. What is the level of measurement for the data? Are the data qualitative or quantitative?
nominal, qualitative
Consider the following frequency table representing the distribution of cost of lunch (in dollars). Cost of Lunch (in Dollars) 7.4-8.2 6 8.3-9.1 3 9.2-10.0 5 10.1-10.9 8 11.0-11.8 4 Determine the cumulative frequency for the fourth class.
22
A small commuter airline keeps records of complaints received from its customers. Complaints for last month are listed in the following table. What percent of the complaints are due to the categories Poor reservation system or Schedules not convenient? Round your answer to two decimal places, if necessary. Customer Complaints Type Tickets cost too much 26 Stewardess did not provide blankets 44 Schedules not convenient 29 Plane often late 33 Seats too stiff 66 Airplane too hot 21 Airplane too cold 14 Poor reservation system 10 Plane interior looks shabby 8
25.83%
Consider the following frequency table representing the distribution of cost of lunch (in dollars). Cost of Lunch (in Dollars) 7.4-8.2 6 8.3-9.1 3 9.2-10.0 5 10.1-10.9 8 11.0-11.8 4 Determine the cumulative frequency for the second class.
9
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.62 and a standard deviation of 0.39. Using the empirical rule, what percentage of the students have grade point averages that are between 1.84 and 3.4?
95%
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5 Using the empirical rule, what percentage of American women have shoe sizes that are less than 11.47? Please do not round your answer.
97.5%
Suppose that IQ scores have a bell-shaped distribution with a mean of 95 and a standard deviation of 18. Using the empirical rule, what percentage of IQ scores are between 41 and 149?
99.7%
You were asked to determine which applicant should be offered the job given the following scores on the aptitude test. Cade got a score of 85.6; this version has a mean of 60.1 and a standard deviation of 15. Nico got a score of 260.9; this version has a mean of 249 and a standard deviation of 17. Rebecca got a score of 7.83; this version has a mean of 7.2 and a standard deviation of 0.7.
Cade
Temperatures in Kelvin of various sites on the moon are an example of which type of data?
Continuous
Determine whether the statement describes a descriptive or inferential statistic. 77% of all babies born at the local hospital last year were boys.
Descriptive Statistic
The numbers of questions answered correctly by various students on a 10-question quiz are an example of which type of data?
Discrete
Determine whether an observational or experimental study is appropriate to address the following statement. A general manager of a restaurant wants to study if closing the store early on weeknights will hurt profits.
Experimental
Determine whether an observational or experimental study is appropriate to address the following statement. A gift shop owner wants to study if closing the store early on weeknights will hurt profits.
Experimental
Decide if the following statement about graphs is true or false. Graphs generally obscure patterns and general trends.
False
For the following type of data set, would you be more interested in looking at the mean, median, or mode? State your reasoning. The rating of professors on a scale from 1 to 5 (with 1 being the worst and 5 being the best)
Mode, The ratings of professors are qualitative data.
In order to help decide when and where to advertise, an appliance repair company decided to pull invoices and tally what types of appliances were repaired. There were twenty-five appliances repaired that month. What is the level of measurement for the data? Are the data qualitative or quantitative?
Nominal, Qualitative
Determine whether an observational or experimental study is appropriate to address the following statement. A car wash operator wants to find out if a need for additional staffing exists.
Observational
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The number of defective circuits per CPU for a sample of 100 CPU's.
Quantitative, Discrete, Ratio
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The number of robberies that occurred last year in the 40 largest American cities.
Quantitative, Discrete, Ratio
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 6,9,7,4,8,7,6,10,8,27
Range: 23, Population variance: 37.8, Population standard deviation: 6.1
Determine whether the statement describes a population or a sample. The number of hours a group of 7 children in Mrs. Smith's kindergarten class watch television in a day.
Sample
Determine if the numerical value describes a parameter or a statistic. A survey of 2345 people in the U.S. revealed that 75% of those surveyed eat while they drive
Sample Statistic
Determine if the numerical value describes a parameter or a statistic. A survey of 3856 people in the U.S. revealed that 73% of those surveyed work a full-time job.
Sample Statistic
A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.05 ounces with an allowable deviation of 0.04 ounces. The average weight of a bag of potato chips is supposed to be 5.05 ounces with an allowable deviation of 0.01 ounces. A factory worker randomly selects a bag of popcorn from the assembly line and it has a weight of 3.07 ounces. Then the worker randomly selects a bag of potato chips from the assembly line and it has a weight of 5.03 ounces. Which description closely matches the findings on the assembly line?
The popcorn bag assembly line is closer to the specifications given because its z-score is closer to the standard than the potato chip bag assembly line.
Decide if the following statement is true or false. Explain why. It is possible to have a standard deviation of 435,000.
True; the standard deviation can be any value greater than or equal to zero.
Select the word or phrase that will correctly complete the statement. A/An _____ measures the number of standard deviations that a particular value is away from the mean.
Z-score
Eye colors are an example of which type of data?
qualitative
In a _________-________experiment, only the partaker does not know whether they have been placed in the experimental or control group.
single-blind
A care provider applies a process to produce a desired response to the .
treatment group
