# Reconsider Exercise 6.2.1 in which an instructor collected data on prices (in dollars) paid by…

Reconsider Exercise 6.2.1 in which an instructor collected
data on prices (in dollars) paid by students for their most recent haircut,
also recording each student’s sex. A 95% confidence interval for female − male turned out to
be (12.17, 52.23). For each of the following, indicate whether it provides a
correct or incorrect interpretation/conclusion from this interval.

a. Between 12.17% and 52.23% of females in the population
paid more than males for their haircut.

b. About 95% of all females in the population paid between
\$12.17 and \$52.23 more than males for their haircut.

c. About 95% of all females in the sample paid between
\$12.17 and \$52.23 more than males for their haircut.

d. We can be 95% confident that the probability is between
12.17% and 52.23% that females in the population pay more than males for their
haircut.

e. We can be 95% confident that the average price paid for
a haircut in this population is between \$12.17 and \$52.23.

f. We can be 95% confident that the average price paid for
a haircut by a female in this population is higher than the average price paid
by males in this population by between \$12.17 and \$52.23.

g. We can be 95% confident that all females in the
population paid more than all males for their haircut by between \$12.17 and
\$52.23.

h. We can be 95% confident that most females in the
population paid more than most males for their haircut by between \$12.17 and
\$52.23.

i. We can be 95% confident that females in the population
paid more on average than males for their haircut by between \$12.17 and \$52.23.

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