Of all of the possible samples, what proportion will show an average weight loss? In symbols, what is p(M < 0) (four decimals)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 u = 9 pounds with a standard deviation of o = 6. The
distribution of scores was approximately normal.
A sample of n = 4 students is selected, and the average weight change is computed for
the sample.
Of all of the possible samples, what proportion will show an average weight loss? In
symbols, what is p(M < 0) (four decimals)
Transcribed Image Text: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 u = 9 pounds with a standard deviation of o = 6. The distribution of scores was approximately normal. A sample of n = 4 students is selected, and the average weight change is computed for the sample. Of all of the possible samples, what proportion will show an average weight loss? In symbols, what is p(M < 0) (four decimals)
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