MATH221 Statistics for Decision Making

Week 1 Homework

1. The age of every fourth person entering a department store. The selected individuals would be considered a:

Parameter

Sample

Population

Statistic

Answer:Sample: Subset/part of a population

2. In a survey of 1000 adults, 34% found they prefer charcoal to gas grills. The 1000 would be considered

Population

Sample

Statistic

Parameter

Answer: Statistic

3. The chances of winning the Maryland lottery are one chance in twenty-two million. The probability would be considered an example of:

Experiment design

A sample

Inferential statistics

Descriptive statistics

Answer: Descriptive statistics

4 The ages of 20 first graders would be considered:

Qualitative data

Interval data

Nominal data

Quantitative data

Answer: Qualitative data

5. Marriage status (married, single, etc.) of the faculty at a university would be considered:

Qualitative data

Ordinal data

Quantitative data

Ratio data

Answer: Quantitative data

6. The amount of fat in grams in 58 cookies would be considered:

Interval data

Ordinal data

Nominal data

Ratio data

Answer: Ratio data

7. Five statistics classes out of 20 are selected and all the students in the selected classes are interviewed. This sampling technique is called:

Convenience

Stratified

Random

Cluster

Answer: Cluster

8. A personnel director at a large company would like to determine whether the company cafeteria is widely used by employees. She calls each employee and asks them whether they usually bring their own lunch, eat at the company cafeteria, or go out for lunch. This study design would be considered:

Simulation

Survey

Observational

Experimental

Answer: Observational

9. Which of the following would be the mean of this data set: 5, 28, 12, 56, 4, 2, 30, 21

18.24

17.06

19.75

16.50

Answer: 19.75

10. Which of the following would be the standard deviation of this sample data set: 67, 54, 30, 77, 61, 41, 75, 83

61.0

18.4

340.3

17.3

Answer: 18.4

11. Which of the following would be the variance of this population data set: 3, 9, 8, 9, 4, 5, 7, 11, 9, 7, 5, 4, 3, 1

2.92

7.92

8.53

2.81

Answer: 2.92

12. If a data set is right skewed, where would the mean be in relation to the mode?

At the same value

Right skewed distributions don’t have a mean nor mode

At a higher value

At a lower value

Answer: At a lower value

13. If data set A has a smaller standard deviation than data set B, what would be different about their distributions?

Data set A would have most of its data to one side of the distribution

Data set A would have a larger mean

Data set A would have more data near the center of the distribution

Data set A would have flatter distribution with more data in each tail

Answer: Data set A would have flatter distribution with more data in each tail

14. In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what percentage of the data would be between 15.6 and 32.4 and why?

68% based on the Empirical Rule

95% based on the histogram

95% based on the Empirical Rule

68% based on the histogram

Answer: 68% based on the Empirical Rule

15. Which of the following data sets would you expect to have the highest standard deviation?

Ages of kids in a preschool program (in years)

Prices of used cars (in dollars)

Height of pit bulls (in inches)

Speed of cars during a professional car race (in mph)

Answer: Ages of kids in a preschool program (in years)

16. Which data outcome of the speed of cars would best support removing a speed camera?

High mean with high standard deviation

High mean with small standard deviation

Low mean with high standard deviation

Low mean with low standard deviation

Answer: Low mean with high standard deviation

17. In manufacturing, stratified sampling could be used to determine if the machines are operating correctly. Which of the following best describes this type of sampling?

Products are put into groups and some are randomly selected from each group

Every 10th product in the line is selected

Samples are randomly selected throughout the day

Products are put into groups and all are included from several randomly selected groups

Answer: Products are put into groups and all are included from several randomly selected groups

18. A graph shows a number line with a mark for each data value in the data set above its value. This graphic is most likely to be:

A frequency polygon

A stem-leaf plot

A dot plot

A frequency histogram

Answer: A dot plot

19. A sample where the population is divided into groups and several groups are randomly selected from all from those selected groups are sampled

Collection of all counts that are of interest

A subset or part of a population

A sample where the population is divided into groups and several are randomly sampled form each group

Consists of attributes, labels, or nonnumerical entries

Answer: cluster sample

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