Assignment Problems

Section 1.1

1.State whether the numerical value is a parameter or a statistic.Twenty-eight of the thirty-five members in a photography club preferred Nikon cameras.

2.Based on the description, list the sampleandthe implied population.In a study of 375 athletes, 84% said dietary supplements were needed to achieve peak performance.

3.State whether the following description represents inferential statistics or descriptive statistics.34% of american men prefer water sports.

4.Make an inference.In a sample of 300 American women, 22% said that reading was their favorite pastime. State an inference that might be made based on this study.

Section 1.2

5.State whether the data are qualitative or quantitative.The collection of jersey numbers assigned to the members of a football team.

6.State whether the data are qualitative or quantitative.The collection of test score averages of students in a class.

7.State the level of measure of the data (nominal, ordinal, interval, or ratio).The standing of four students in a class (i.e. first, second, third, and fourth.).

8.State the level of measure of the data (nominal, ordinal, interval, or ratio).The collection of artists producing the top ten music albums of 2021.

9.State the level of measure of the data (nominal, ordinal, interval, or ratio).A collection of start times for campus Statistics classes.

10.State the level of measure of the data (nominal, ordinal, interval, or ratio).The collection of distances traveled by 10 slugs in a fortnight.

Section 1.3

11.Random samples.Explain how you would take a simple random sample of 8 students from a class with 40 students. (Note: Do not use method of picking numbers from a hat, or similar.)

12.What method of data collection should be used (census or sample)?A study exploring the weights of U.S. senators.

13.Explain.Under what circumstances is it best to use simulation to gather data?

14.Explain the meaning and state the reason.What is randomization, and what is the purpose for using it.

15.State the sampling technique used (stratified, random,cluster,convenience, or systematic).A company divides a large property into a grid pattern, assigning each square a unique number. A researcher randomly selects some of the squares in the grid, then measures and records a chemical level in every tree in each one.

16.State the sampling technique used (stratified, random,cluster,convenience, or systematic).A researcher divides the ages of people in a community into 4 groups: (1) less than 20 years old; (2) greater or equal to 20, but less than 40 years old; (3) greater or equal to 40, but less than 60 years old; and (4) greater than or equal to 60 years old. The researcher then takes a random sample from each group.

17.State the sampling technique used (stratified, random,cluster,convenience, or systematic).A researcher goes to a gravel pile, takes a shovel full of gravel, and then measures the volume of each stone.

18.State the sampling technique used (stratified, random,cluster,convenience, or systematic).At the grand opening of a new Walmart, every 10th person in a line is selected and given a door prize.

Section 2.1

Problems 19-21.Use the frequency distribution in table 1 to answer the questions.

Table 1. Frequency Distribution
Class	Frequency
153-177	14
178-202	21
203-227	25
228-252	28
253-277	16

19. What is the class width?

20. What is the midpoint of the first class?

21. What are the class boundaries for the first class?

Problems 22-25.Use the data in Table 2 to answer the questions.Use graph paper when doing charts or graphs by hand. See FAQ chapter 5.

Table 2. The heights of 30 trees in a wood lot.
Heights (feet)
38	37	8	22	18
30	4	15	40	10
33	39	11	17	3
38	7	3	23	35
40	13	13	7	4
30	3	19	14	39

22. Using five classes, construct a frequency distribution table, listing the frequencies, midpoints, relative frequencies (round to 3 places), and the cumulative frequencies.

23. Construct a relative frequency histogram.

24. Construct an ordered stem-and-leaf chart for the data set (see section 2.2).

25. Construct a frequency polygon for the data set.