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Essay Type (show your work) (10 points each) Chapter 8 1.The weight of a product is measured in pounds. A sample of 64 units is taken from a batch. The sample yielded the following results: = 70 lbs....

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Essay Type (show your work) (10 points each)
Chapter 8
1.The weight of a product is measured in pounds. A sample of 64 units is taken from a batch. The sample yielded the following results: = 70 lbs. and s=16 lbs. Calculate a 99 percent confidence interval forthe mean.

Chapter 9
2.The average waiting time per customer at a fast food restaurant has been 7.5 minutes. The customer waiting time has a normal distribution. The manager claims that the use of a new cashier system will decrease the average customer waiting time in the store. Based on a random sample of 16 customer transactions the mean waiting time is 6.23 minutes and the standard deviation is 2 minutes per customer. Test the manager’s claim at 5% and 1% significance level tests.
3. In an early study, researchers at an Ivy University found that 33% of the freshmen had received at least one A in their first semester. Administrators are concerned that grade inflation has caused this percentage to increase. In a more recent study, of a random sample of 500 freshmen, 190 had at least one A in their first semester Calculate the appropriate test statistic and test the hypotheses related to the concern at 5% and 1%.
Chapter 10
4. At a= 0.05 and 0.10, test the hypothesis that the proportion of Consumer (CON) industry companies winter quarter profit growth is more than 2 percentage points greater than the proportion of Banking (BKG) companies winter quarter profit growth, given that pCON = 0.20, pBKG = 0.13, nCON = 300, nBKG = 400.
5.The mid-distance running coach, Zdravko Popovich, for the Olympic team of an eastern European country claims that his six-month training program significantly reduces the average time to complete a 1500-meter run. Five mid-distance runners were randomly selected before they were trained with coach Popovich's six-month training program and their completion time of 1500-meter run was recorded (in minutes). After six months of training under coach Popovich, the same five runners' 1500 meter run time was recorded again. The results are given below.
Runner 1 2 3 4 5
Completion time before training 6.1 7.5 6.1 6.9 8.3
Completion time after training 5.5 7.0 6.3 6.7 7.9

At alpha levels of .05, test whether the
Answered Same Day Dec 26, 2021

Solution

David answered on Dec 26 2021
106 Votes
1

True/ False
1. False
2. True
3. True
4. False
5. False
6. False
7. False
8. True
9. True
10. False
11. True
12. True
13. False
14. False
15. True
16. False
17. False
18. True
19. False
20. True
21. False
22. False
23. True
24. False
25. True
Multiple Choices
1. C. Na
ower for 90% confidence than 95% confidence
2. E. None of the above
2

3. C. 2.769 to 3.231
4. A. .1608 to .2392
5. B. 1549
6. E. 166
7. A. Always
8. C. Less than 
9. B. Decreases
10. E. Reject H0 if t > 1.721
11. B. 1.679
12. A. Always
13. D. The alternative hypothesis states that the two classifications are statistically
independent
14. C. Reject H0 if 
2
> 5.99147
15. D. 16
16. C. Failed to reject H0 and conclude that the quality of the product does not significantly
differ among the three processes
17. D. E
or terms depend on the explanatory variable
18. A. MSE
19. E. Sum of Squared differences between actual and predicted Y values
20. D. 0.802
21. C. Positive autoco
elation of e
or terms
22. E. 4, 17
23. D. 72.63%
24. B. F statistic
25. E. 16
Essay Type
Question 1
Sample
̅
3
Value of t statistics for 99% = 2.575
Standard e
or




Confidence interval ̅ ( )
Upper limit of 99% ( )
Lower limit of 99% ( )
99% ( )
Question 2
The given data can be summarized below:
̅
The hypotheses are highlighted below:
The claim of the manager is inco
ect.
The claim of the manager is co
ect.
It is apparent that the valid test in this case is t test because the sample size is lower than 30
(as per central limit theorem) and the standard deviation of the population is unknown.
Hence, t statistics would be used.
Standard e
or



Calculated t statistics



 When significance level is 5%
4

Degree of freedom
The p value for 15 degree of freedom and one tailed test is 0.011321.
It can be seen that the p value is lower than significance level and hence, null hypothesis
would be rejected and alternative hypothesis would be accepted. Therefore, it can be
concluded that claim of the manager is co
ect i.e. the use of new cashier system will
decrease the average customer waiting time in the store.
 When significance level is 1%
Degree of freedom
The p value for 15 degree of freedom and one tailed test is 0.011321.
It can be seen that the p value is higher than significance level and hence, null hypothesis
would not be rejected. Therefore, it can be concluded that the claim of the manager is
inco
ect i.e. the use of new cashier system will decrease the average customer waiting time
in the store.
Question 3
The given data can be summarized below:




( )
The hypotheses are highlighted below:
There is no grade inflation.
There is grade inflation.
In this case, as per central limit theorem, z statistics would be used because the sample size is
significantly higher than 30 and hence, the distribution is assumed to be normal distribution.
Standard e
or √( ) ( ) ( )
5





 When significance level is 5% ...
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