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Question: A simple random sample of size n = 15 is collected for the duration of...

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A simple random sample of size n = 15 is collected for the duration of hip surgeries of a certain type. The sample average is found to be 120 minutes, with the sample standard deviation of 15 minutes. Assume that the population of surgery durations is Normally distributed.

(a) Construct a 98% confidence interval for the average surgery duration using the sample data.

(b) It is expected that the hip surgery of this type should last 115 minutes on average. Given that the sample average duration is longer than that, do the results contradict this expectation?

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