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Statistics Problems

1. You are the manager of a fast-food restaurant. You want to determine whether the waiting time to place an order has changed in the past month from its previous population mean value of 4.5 minutes. Develop the null and alternative hypothesis most appropriate for this situation. (1 pt)

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2. A stationary store owner knows the mean retail value of greeting cards last year was \$2.50. She believes that the mean value of the cards this year has increased. Develop the null and alternative hypothesis most appropriate for this situation. (1 pt)

3. Consider the following hypothesis test:
H_0: μ=25
H_A: μ≠25
A sample of 57 items provided a sample mean of 28.1. The population standard deviation is 8.46. Use the critical value approach, at α = 0.05. Answer the following three questions. (1 pt, 1 pt, 1 pt)

c. “Click here to state if you reject or fail to reject the null hypothesis.”

4. Consider the following hypothesis test:
H_0: μ≤1200
H_A: μ>1200
A sample of 113 items provided a sample mean of 1215. The population standard deviation is 100. Use the p-value approach, at α = 0.05. Answer the following three questions. (1 pt, 1 pt, 1 pt)