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?
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