A researcher wants to estimate the mean grade point average of all current college students in the United States. She has developed a procedure to standardized scores from colleges using something other than the score between 0 and 4. How many grade point averages must be obtained for the sample mean is within 0.1 of the population mean? Assume that a 90% confidence level is desired. Also assume that a pilot study showed that the population standard deviation is 0.88.