The CEO of a cable company claims that the population mean wait time for callers at a company's customer service center is exactly 7 minutes. He tests this claim against the population mean wait time for callers being greater than 7 minutes. He selects a random sample of 36 customers who called the company's customer service center and finds that the sample mean wait time is 8.03 minutes with a sample standard deviation of 2.14 minutes. The test statistic t for a hypothesis test of H0:μ=7 versus Ha:μ>7 is t≈2.89. If p-value<0.005 and the level of significance is α=0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population wait time for customer service calls is equal to 7 minutes? Select all that apply: A) Fail to reject the null hypothesis that the true population mean wait time for a customer service call is equal to 7minutes. B) Reject the null hypothesis that the true population mean wait time for a customer service call is equal to 7minutes. C) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean wait time for a customer service call is not equal to 7 minutes. D) There is enough evidence at the α=0.05 level of significance to support the claim that the true population mean wait time for a customer service call is greater than 7 minutes.
The CEO of a cable company claims that the population mean wait time for callers at a company's customer service center is exactly 7 minutes. He tests this claim against the population mean wait time for callers being greater than 7 minutes. He selects a random sample of 36 customers who called the company's customer service center and finds that the sample mean wait time is 8.03 minutes with a sample standard deviation of 2.14 minutes. The test statistic t for a hypothesis test of H0:μ=7 versus Ha:μ>7 is t≈2.89. If p-value<0.005 and the level of significance is α=0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population wait time for customer service calls is equal to 7 minutes?
Select all that apply:
A) Fail to reject the null hypothesis that the true population mean wait time for a customer service call is equal to 7minutes.
B) Reject the null hypothesis that the true population mean wait time for a customer service call is equal to 7minutes.
C) There is not enough evidence at the α=0.05 level of significance to suggest that the true population mean wait time for a customer service call is not equal to 7 minutes.
D) There is enough evidence at the α=0.05 level of significance to support the claim that the true population mean wait time for a customer service call is greater than 7 minutes.
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