Question: Assume that the data in the first histogram represents the heights of American males, and suppose these are normally distributed with mean of 69 inches

Assume that the data in the first histogram represents the heights of American males, and suppose these are normally distributed with mean of 69 inches and a standard deviation of 4 inches.

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

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

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

4. Explain the interpretation of the confidence interval (one-sentence).

5. Based on your answers to parts c & d, would a hypothesis test of whether the population means was equal to 72 be statistically significant at alpha=.05? Why or why not? (One sentence answer: please don't actually do a test!)

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