What is the probability that the sample mean is 20 or higher

Reference no: EM13238649

The scores of students on the ACT college entrance examination in a recent year had a normal distribution with a mean of 18.6 and a standard deviation of 5.9. A simple random sample of 60 students who took the exam is selected for study:

a) What is the shape, mean(expected value), and standard deviation of the sampling distribution of the sample mean score for samples of size 60?

b) What is the probability that the sample mean is 20 or higher?

c) What is the probability that the sample mean falls within 2 points of the population mean?

d) What value does the sample mean have be in order for it to be in the top 1% of the sampling distribution?

Reference no: EM13238649

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