At the end of the spring semester, the Dean of Students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year. The average was a gain of a mean=9 pounds with a standard deviation=6. The distribution of scores was approximately normal. A sample of n=4 student is selected and the average weight change is computed for the sample.
b) Of all the possible samples, what proportion will show an average weight? In symbols, what is p(M<0)?
c) What is the probability that the sample mean will be a gain of between M=9 and M=12 pounds? in symbols, what is p(9<M<12)?© BrainMass Inc. brainmass.com October 10, 2019, 5:02 am ad1c9bdddf
Here are my explanations:
The expert determines the probability that the sample mean will be greater than M=10 pounds.