Mathematics, 20.02.2022 01:00 awdadaddda
The scores of individual students on the American College Testing (ACT) composite college entrance examination have a Normal Distribution with mean 18.6 and standard deviation 5.9.
a. What is the probability that a single student randomly chosen from all those taking the test scores 21 or higher?
b. Now take an SRS of 50 students who took the test. What are the mean and standard deviation of the average (sample mean) score for the 50 students? Do your results depend on the fact that individual scores have a Normal Distribution?
c. What is the probability that the mean score x of these students is 21 or higher?
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