Question

Are older men shorter than younger men? According to the National Health Statistics
Reports, the mean height for US men is 69.4 inches. In a sample of 300 men between the ages
of 60 and 69, the mean height was 69 inches. Public Health officials want to determine whether
the mean height for older men is less than the mean height of all adult men. Assume that the
population standard deviation is σ = 2.84.
a) Write the hypothesis test.

b) What kind of test?

c) Find the standard deviation in play.

d) Draw the bell curve relative to H 0 .

e) Find the z score for 69 inches.

f) Draw the p-value region on the standard bell curve.

g) Calculate the p-value.

h) What is the result at the α = .01 level?

i)Describe in words the result.

Answer 1