# Question

As operations supervisor at an online customer service center, you are concerned about the average time that elapses between the receipt of a customer question or complaint and the issuance of a response. The company prides itself on an average response time of no more than 36 hours. You take a sample of 10 recent customer inquiries and find that the average response time for the sample was 41 hours, with a sample standard of 8 hours. Determine whether this is enough sample evidence to reject a 36 hours null hypothesis at the 5% significance level. Assume that the population of response times is normal.

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