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 PA program will change their major to a DO program A random sample of 100 female PA majors found that 95% had changed their major to a DO program At ? = 005, is there enough evidence to reject the claim? Complete the hypotheses H1,a summary of your answer, and draw the normal curve (15 pts)
H0: p = 012 (claim) p? = ________ p = ________ q = ________
H1: p 012 CV = ________
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 127 mph, and in Phoenix, AZ, it is 62 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?
1285 mph
79 mph
Population standard deviation ?
33 mph
28 mph
Is there sufficient evidence at ? = 005 to conclude that the average wind speed is greater in Casper than in Phoenix? Complete the hypotheses H1,a summary of your answer, and draw the normal curve
H0: ?1 = ?2 ? = 005 CV = ________
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)
74
82
71
88
96
11
84
74
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 ? = 005, 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: ________
df = ________ CV = ________
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 ? = 005, 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:
CV = ______________
df = ____________
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)