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A statistician estimates the 92% confidence interval for the mean of a normally distributed population as...

A statistician estimates the 92% confidence interval for the mean of a normally distributed population as (162.75, 173.25) at the end of a sampling experiment assuming a known population standard deviation.

(a) (4 pts) Use the information given to construct the 97% confidence interval for the population mean.

(b) (2 pts) Based on the confidence constructed, is there evidence to conclude the population mean is larger than 161?

Will upvote! Thank you kindly!

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