Historically, the average waiting time spent on hold when phoning customer service for a particular bank was one and a half minutes. To determine whether the average time people were waiting had changed since they cut the number of customer service staff, the bank undertook a random sample of the waiting time recorded by 15 customers. The results are in the Y column (in seconds) of the data file P14.12.xlswhich can be found in a folder underthe CML Quizzes tab.

Assume that the test is performed at the 5% level of significance and that the distribution of waiting times is approximately normally distributed.

1. State the direction of the alternative hypothesis used to test whether average waiting time had changed. Type gt (greater than),ge(greater than or equal to),lt(less than),le(less than or equal to) orne(not equal to) as appropriate in the box.

2. Calculate the test statistic correct to two decimal places (hint: use Descriptive Statistics to calculated the standard deviation and sample mean).

3.By referring to the appropriate Z or t-table, which of the following four given numbers is most likely to be the actualp-value for the test? Namely, 0.4207, 0.4222, 0.1800 or 0.0491. Enter your chosen number as your answer, using all four decimal places.

4. Is the null hypothesis rejected for this test? Type yes or no.

5. Regardless of your answer for 4, if the null hypothesis was rejected, could we conclude that the average waiting time is not 1.5 minutes at the 5% level of significance? Type yes or no.

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