What is the z-statistic? If required, round your answer to two decimal places. Enter negative values as negative number, if necessary. .30 What is the p-value? If required, round your answer to two decimal places.
What is the z-statistic? If required, round your answer to two decimal places. Enter negative values as negative number, if necessary. .30 What is the p-value? If required, round your answer to two decimal places.
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Question
Transcribed Image Text:A test was conducted of two overnight mail delivery services. Two samples of identical deliveries were set up so that both delivery services were notified of the need for a
delivery at the same time. The hours required to make each delivery follow. Do the data shown suggest a difference in the delivery times for the two services? Use a .05 le
of significance for the test. Use Table 1 of Appendix B.
Click on the datafile logo to reference the data.
DATA file
Service
Delivery
1
2
24.5
26.0
28.0
21.0
18.0
36.0
25.0
21.0
24.0
26.0
31.0
28.0
25.5
32.0
20.0
19.5
28.0
29.0
22.0
23.5
29.5
30.0
3
4
6.
9.
10
11
What is the z-statistic? If required, round your answer to two decimal places. Enter negative values as negative number, if necessary.
.30
What is the p-value? If required, round your answer to two decimal places.
.7642
Conclude:
Expert Solution
Step 1
Mean and population standard deviation for service 1:
The mean can be obtained using the excel formula “=AVERAGE(A1:A12)”. From the Excel formula, the mean is 25.5.
The population variance can be obtained using the excel formula “=VAR.P(A1:A12)”. From the Excel formula, the population variance is 22.5.
Mean and population standard deviation for service 2:
The mean can be obtained using the excel formula “=AVERAGE(B1:B12)”. From the Excel formula, the mean is 26.0909.
The population variance can be obtained using the excel formula “=VAR.P(B1:B12)”. From the Excel formula, the population variance is 16.5372.
The z statistic value is,
Thus, the z statistic value is -0.31.
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