Data on mean student loans for students in a certain area show that the mean student loan total at graduation is $53.5 thousand. Assume a standard deviation of 7.2 thousand. A. Determine the sampling distribution of the sample mean for samples of size 64 B. Determine the sampling distribution of the sample mean for samples of size 256. C. Why is it neccessary to assume that the student loan totals are not normally distributed to answer parts (a) and (b)? D. What is the probability that the sampling error made in estimating the population mean student loan total by the mean loan total of a sample of 64 students will be at most $1000? E. What is the probability that the sampling error made in estimating the population mean student loan total by the mean loan total of a sample of 256 students will be at most 1000?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.