## In 1990, the mean height of women 20 years of age or older was 63.7 inches…

In 1990, the mean height of women 20 years of age or older was
63.7 inches based on data obtained from the CDC. Suppose that a
random sample of 45 women who are 20 years of age or older in 2015
results in a mean height of 63.6 inches with a standard deviation
of 0.5 inch. Now we want to perform a hypotheses test to check
whether the women today are lower than in 1990 at the 0.05 level of
significance based on this sample.

62. Which of the followings is the type I error in this
problem?

A. Claim the population mean height is lower than 63.7 inches
while it is actually 63.7 inches.

B. Claim the population mean height is equal to 63.7 inches
while it is lower than 63.7 inches.

C. Claim the population mean height is taller than 63.7 inches
while it is actually 63.7 inches.

D. Claim the population mean height is equal to 63.7 inches
while it is taller than 63.7 inches.

63. Which of the followings is the type II error in this
problem?

A. Claim the population mean height is lower than 63.7 inches
while it is actually 63.7 inches.

B. Claim the population mean height is equal to 63.7 inches
while it is lower than 63.7 inches.

C. Claim the population mean height is taller than 63.7 inches
while it is actually 63.7 inches.

D. Claim the population mean height is equal to 63.7 inches
while it is taller than 63.7 inches.