Suppose you plan to take a survey of math students asked abouttheir overall grades. 22 students were surveyed, and it was foundthat the average GPA of the 22 sampled students was a 3.2, with astandard deviation of 0.9 points. Suppose you want to re-sample thepopulation to reduce the margin of error. If you plan to calculatea 90% confidence interval for the true mean GPA of math students,how many samples would be necessary to reduce the margin of errorto 0.2 points? Round your answer to the nearest whole number, andremember it's always better to sample too many rather than notenough.
