Question: I feel like the answer to the question below is yes because the population mean of 36 minutes falls within the sample meansof 15 to

I feel like the answer to the question below is "yes" because the population mean of 36 minutes falls within the sample meansof 15 to 57 minutes as stated in Problem 8.5. I'm questioning myself because the answer seems too obvious. Can you please confirm ifI'm correct, or if I'm not, explain why and please show any work to demonstrate my error. Thank you in advance.

8.5

A market researcher selects a simple random sample of n=100 users of social network from a population of over 100 million registered users. After analyzing the sample he states that he has95% confidence that the mean time spent on the site per day is between 15 and 57 minutes.

Consider the confidence interval estimate discussed in Problem 8.5. Suppose the population mean time is 36 minutes a day. Is the confidence level stated in Problem 8.5 correct? Explain.

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