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What is the probability that a randomly picked american male

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A data set of American males is normally distributed with a mean of 69 inches and a standard deviation of 5 inches.

a. What is the probability that a randomly picked American male is shorter than 65 inches?

b. What is the probability that the mean height of a random sample of 10 American males is between 68 inches and 70 inches?

c. Suppose that the data going into the mean and standard deviation quoted above are actually from a random sample of size 36. Construct a 95% confidence interval for the population mean height of adult males.

d. Suggest a one-sentence interpretation of the confidence interval.

e. Based on answers to parts c & d, would a hypothesis test of whether the population mean was equal to 72 be statistically significant at alpha=.05? Why or why not?

Reference no: EM132483258

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