Question

# The scores of individual students on the American College Testing (ACT) composite college entrance examination have...

The scores of individual students on the American College Testing (ACT) composite college entrance examination have a normal distribution with mean 19.2 and standard deviation 6.8. (a) What is the probability that a single student randomly chosen from all those taking the test scores 24 or higher? 0.2389 Correct: Your answer is correct. (b) Now take an SRS of 69 students who took the test. What are the mean and standard deviation of the average (sample mean) score for the 69 students? μ = 19.2 Correct: Your answer is correct. σ = Do your results depend on the fact that individual scores have a normal distribution? yes no Correct: Your answer is correct. (c) What is the probability that the mean score x of these students is 20.75 or higher?

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Do your results depend on the fact that individual scores have a normal distribution?

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