A process producing bricks is known to give an output whose weights are normally distributed with s
Question: A college admissions officer for an M.B.A. program has determined that historically, candidates have undergraduate grade point averages that are normally distributed with standard deviation 0.45. A random sample of twenty-five applications from the current year is taken, yielding a sample mean grade point average of 2.90.
(a) Find a 95% confidence interval for the population mean.
(b) Based on these sample results, a statistician computes for the population mean a confidence interval running from 2.81 to 2.99. Find the probability content associated with this interval.
(c) If you wanted to get a confidence interval for the mean of this population at the same confidence level (95%) but with a width not larger than 0.1, how many students would you need to sample?
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