What is the level of significance? (Round your answer to 2 decimal places.) c. Compute the value of the test statistic? (Round your answer to 2 decimal places. Negative values should have a minus sign in front of them)
A bank with a branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1 PM lunch period. To do so, the waiting time (defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window) needs to be shortened to increase customer satisfaction. Another bank in the area is also concerned with the noon-to-1 PM lunch period. A random sample of 12 customers is selected from each bank and the waiting times are the following:
Bank 1:
4.02 | 4.13 | 4.05 | 4.09 |
3.2 | 3.79 | 4.95 | 4.74 |
4.29 | 4.7 | 3.8 | 3.18 |
Bank 2:
2.28 | 3.85 | 1.61 | 3.25 |
2.82 | 2.61 | 3.93 | 2.13 |
3.03 | 1.89 | 3.7 | 2.45 |
Is there evidence of a difference in the variability of the waiting time between the two branches? (alpha = 0.05)
a. What are the null and alternate hypotheses?
H0:
H1:
b. What is the level of significance? (Round your answer to 2 decimal places.)
c. Compute the value of the test statistic? (Round your answer to 2 decimal places. Negative values should have a minus sign in front of them)
d. Determine the p-value (Round your final answer to 4 decimal places.)
e. What is your decision regarding the null hypothesis?
multiple choice
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Fail to reject the null.
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Reject the null.
f. Interpret the result. (1 point)
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