A random sample of the number of farms (in thousands)

Chapter 7

1. A random sample of the number of farms (in thousands) in various states is reported below. (15 pts)

47

95

54

33

64

4

8

57

9

80

8

90

3

49

4

44

79

80

48

16

68

7

15

21

52

6

78

109

40

50

29

Estimate the mean number of farms per state with 90% confidence. Assume ? = 31. Provide your calculated answer then round and provide a whole number answer.

x? = ________ ? = 31

Chapter 8

2. An administrator at a Midwest university estimates that 12% of the female college students in a P.A. program will change their major to a D.O. program. A random sample of 100 female P.A. majors found that 9.5% had changed their major to a D.O. program. At ? = 0.05, is there enough evidence to reject the claim? Complete the hypotheses H_1,a summary of your answer, and draw the normal curve. (15 pts)

H₀: p = 0.12 (claim) p? = ________ p = ________ q = ________

H₁: p 0.12 C.V. = ________

Supply correct symbol above.

3. Essay: Write out (in a paragraph or so), the basic concept of hypothesis testing. (10 pts)

Chapter 9

4. The average wind speed in Casper, WY, has been found to be 12.7 mph, and in Phoenix, AZ, it is 6.2 mph. To test the relationship between the averages, the average wind speed was calculated for a sample of 31 days for each city. The results are reported below. (15 pts)

Casper

Phoenix

Sample size n

31

31

Sample mean x?

12.85 mph

7.9 mph

Population standard deviation ?

3.3 mph

2.8 mph

Is there sufficient evidence at ? = 0.05 to conclude that the average wind speed is greater in Casper than in Phoenix? Complete the hypotheses H_1,a summary of your answer, and draw the normal curve.

H₀: ?₁ = ?₂ ? = 0.05 C.V. = ________

H₁: ?₁ ?₂ (claim)

Supply correct symbol above.

Chapter 10

5. A researcher wants to see if there is a relationship between the number of new productions on Broadway in any given year and the attendance for the season. The data below were recorded for a selected number of years. Based on these data, can you conclude there is a relationship between the number of new productions in a season and the attendance? (20 pts)

No. of new productions

54

67

60

54

61

60

50

37

Attendance (millions)

7.4

8.2

7.1

8.8

9.6

11

8.4

7.4

a. Draw the scatter plot for the variables. (5 pts)

b. Compute the value of the correlation coefficient r.

c. State the hypotheses.

d. Test the significance of the correlation coefficient at ? = 0.05, using Table I.

e. Make the decision to reject or not reject the null hypothesis; which tells you whether or not a regression analysis is to be done and a regression line plotted on the scatter chart.

r = ________ H₀: ________

n = ________ H₁: ________

d.f. = ________ C.V. = ________

Chapter 11

6. A survey of why people purchased a Ford during a certain model year is reported below. (15 pts)

Reason

Brand Loyalty

Made in USA

Manufacturer's Reputation

Number

26

18

28

At ? = 0.05, test the claim that the number of responses is equally distributed.

a. State the hypotheses and identify the claim.

b. Find the critical value.

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

H₀:

H₁:

C.V. = ______________

d.f. = ____________

E = ______________

?² = ? (O-E)² / E = ______________________

7. Essay: Write out (in a paragraph or two each), the basic concepts of descriptive statisticsand inferential statistics and how they are used. (15 pts)