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28. You are the manager of a restaurant for a​ fast-food franchise. Last​ month, the mean...

28. You are the manager of a restaurant for a​ fast-food franchise. Last​ month, the mean waiting time at the​ drive-through window for branches in your geographical​ region, as measured from the time a customer places an order until the time the customer receives the​ order, was 3.7 minutes. You select a random sample of 81 orders. The sample mean waiting time is 3.86 minutes, with a sample standard deviation of 0.9 minute. Complete parts​ (a) and​ (b) below.

a. At the 0.05 level of​ significance, is there evidence that the population mean waiting time is different from 3.7 ​minutes? State the null and alternative hypotheses.

Determine the test statistic.

Find the​ p-value.

State the conclusion.

34. A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 60 nonprofit​ organizations, the mean​ one-time gift donation in the past year was ​$75 with a standard deviation of $11.

If you test the null hypothesis at the 0.05 level of​ significance, is there evidence that the mean​ one-time gift donation is greater than $70​?

State the null and alternative hypotheses.

Find the test statistic.

Find the​ p-value for this hypothesis test.

What is the conclusion for this​ test?

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