Suppose you are interested in estimating the average salary for biostatisticians in Connecticut. You obtain a random sample of 25biostatisticians hired during the last 5 years. The sample data appeared to be approximately normally distributed with no outliers. The average salary for the sample is $45000 and the sample standard deviation is $3150.
A) construct a 95% confidence interval for \mu the true average salary for newly hired biostatisticians in Connecticut
B) how large of a sample is needed to estimate \mu within $2000
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