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Statistics
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Grand Canyon University
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Homework
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Complete the problems below from the textbook. You will need to use the "Lincolnville School District Bus Data"
file for this assignment. The file is located in the topic materials.
1. Chapter 12 Problem 51
51. Refer to the Lincolnville School District bus data.
a. Conduct a test of hypothesis to reveal whether the mean maintenance cost is equal for each of the bus
manufacturers. Use the .01 significance level.
Solution
Stating the hypothesis
H
o:
The mean maintenance cost is not equal for each of the bus manufacturers
H
A:
The mean maintenance cost is equal for each of the bus manufacturers
Since we have 3 bus manufacturers we shall use the Anova test to check if the means are equal.
P-value from excel output
From the excel output the p value is .7664
Decision
p-value .7664 is > .01 significance level so we fail to reject the null hypothesis and conclude that the mean
maintenance cost is not equal for each bus manufacturer.
b. Conduct a test of hypothesis to determine whether the mean miles traveled since the last maintenance is equal
for each bus manufacturer. Use the .05 significance level.
Solution
Stating the hypothesis
H
o:
The mean miles traveled since the last maintenance is not equal for each bus manufacturer
H
A:
The mean miles traveled since the last maintenance is equal for each bus manufacturer
P-value from excel output
p-value is .7061
Decision
The p-value 0.7061 is > .05 significance level, so we fail to reject the null hypothesis and conclude that the mean
miles traveled since last maintenance is not equal for each bus manufacturer
2. Chapter 15 Problem 57
A survey investigated the public’s attitude toward the federal deficit. Each sampled citizen was classified as to whether he or
she felt the government should reduce the deficit or increase the deficit, or if the individual had no opinion. The sample
results of the study by gender are reported below.
Solution
Stating the hypothesis
H
o:
There is no opinion on the trade deficit
H
A:
The government should increase/reduce the trade deficit

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We shall use the chi-square test
Expected observations
Reduce
Increase
No opinion
Total
Female
506*549/950
=292.41
308*506/950
=164.05
506*93/950
=49.53
506
Male
549*444/950
=256.59
308*444/950
=143.95
93*444/950
=43.47
444
Total
549
308
93
950
Observed Expected
Increase
No opinion
Female
194-164.05
=29.95
68-49.53
=18.47
Male
114-143.95
=-29.95
25-18.47
=-18.47
(Observed Expected)
2
/Expected
Reduce
Increase
No opinion
Female
-48.41
2
/292.41
=8.01
29.95
2
/164.05
=5.47
18.47
2
/49.53
=6.89
Male
48.41
2
/256.59
=9.13
-29.95
2
/143.95
=6.23
-18.47
2
/43.47
=7.85
X
2
= 8.01 + 9.13 + 5.47 + 6.23 + 6.89 + 7.85
= 43.58
Decision
Chi-square calculated > chi-square critical so we reject the null hypothesis and conclude there is an
opinion whether the government should increase or reduce the deficit.
3. Chapter 15 Problem 64
64. Refer to the Lincolnwood School District bus data.
a. Suppose we consider a bus “old” if it has been in service more than 8 years. At the .01 significance level, can
we conclude that less than 40% of the district’s buses are old? Report the p-value.
Solution
N = 80
Number of vehicles that are old = 36
Proportion of old vehicle buses = 36/80 = 0.45
Stating the hypothesis

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Complete the problems below from the textbook. You will need to use the "Lincolnville School District Bus Data" file for this assignment. The file is located in the topic materials. 1. Chapter 12 – Problem 51 51. Refer to the Lincolnville School District bus data. a. Conduct a test of hypothesis to reveal whether the mean maintenance cost is equal for each of the bus manufacturers. Use the .01 significance level. Solution Stating the hypothesis Ho: The mean maintenance cost is not equal for each of the bus manufacturers HA: The mean maintenance cost is equal for each of the bus manufacturers Since we have 3 bus manufacturers we shall use the Anova test to check if the means are equal. P-value from excel output From the excel output the p value is .7664 Decision p-value .7664 is > .01 significance level so we fail to reject the null hypothesis and conclude that the mean maintenance cost is not equal for each bus manufacturer. b. Conduct a test of hypothesis to determine whether the mean miles traveled since the last maintenance is equal for each bus manufacturer. Use the .05 significance level. Solution Stating the hypothesis Ho: The mean miles traveled since the last maintenance is not equal for each bus manufacturer HA: The mean miles traveled since the last maintenance is equal for each bus manufacturer P-value from excel output p-value is .7061 Decision The p-value 0.7061 is > .05 significance level, so we fail to reject the null hypothesis and conclude that the mean mil ...
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