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According to the CDC, the mean height of adults ages 20 and older is about 66.5...

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Basic Math

According to the CDC, the mean height of adults ages 20 andolder is about 66.5 inches (69.3 inches for males and 63.8 inchesfor females). A SRS of 108 adults ages 20 and older from a localpopulation had a mean height of 68.1 inches. Suppose the standarddeviation of height of all adults ages 20 and older is known to be5.4 inches.

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

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

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

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

Please explain and write which formulas you used! Thankyou!

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