Question

A bank branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1:00 P.M. lunch period. The waiting time is defined as the time the customer enters the line until he or she reaches the teller window. The bank wants to determine if the mean waiting time is less than 5 minutes. A random sample of 15 customers is selected. Results found that the sample mean waiting time was 4.287 minutes with a sample standard deviation of 1.638 minutes. Show work if necessary.

1. What is the null hypothesis?
2. What is the alternative hypothesis?
3. Is it a one-tailed or two-tailed test?
4. Which test statistic should you use?
5. Calculate . Round to three decimal places.
6. Calculate the appropriate test statistic. Round to three decimal places.
7. Calculate the degrees of freedom.
8. Using an alpha of 0.05, what is the critical value(s)?
9. Based on the test statistic and critical value, what is your decision?
10. The results are/are not statistically significant at an alpha level of ______ and we conclude __________________ (research question).

Answer 1