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What is the sampling distribution of mean height

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According to the CDC, the mean height of adults ages 20 and older is about 66.5 inches (69.3 inches for males and 63.8 inches for females). A SRS of 108 adults ages 20 and older from a local population had a mean height of 68.1 inches. Suppose the standard deviation of height of all adults ages 20 and older is known to be 5.4 inches.

a) What is the sampling distribution of mean height of 108 adults ages 20 and older? 

b) Construct a 95% z confidence interval for the mean height of all adults ages 20 and older in this local population. Interpret your confidence interval with common language.

c) Carry out a hypothesis test to see if the mean height of all adults ages 20 and older in this local population is equal to the CDC's mean or not. What is your conclusion using a significance level α = 0.05?

d) How do the results in (b) and (c) relate to each other?

Reference no: EM132160612

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