Paying for college College financial aid offices ex- pect students to use summer earnings to help pay for college. But how large are these earnings? One large university studied this question by asking a random sample of 1296 students who had summer jobs how much they earned. The financial aid office separated the responses into two groups based on gender. Here are the data in summary form:³0 Group Males Females n 675 621 X $1884.52 $1360.39 Sx $1368.37 $1037.46 How can you tell from the summary statistics that the distribution of earnings in each group is strongly skewed to the right? The use of two-sample t proce- dures is still justified. Why? Construct and interpret a 90% confidence interval for the difference between the mean summer earn- ings of male and female students at this university.

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Paying for college College financial aid offices ex-
pect students to use summer earnings to help pay for
college. But how large are these earnings? One large
university studied this question by asking a random
sample of 1296 students who had summer jobs how
much they earned. The financial aid office separated
the responses into two groups based on gender. Here
are the data in summary form:30
Group
Males
Females
n
675
621
X
$1884.52
$1360.39
Sx
$1368.37
$1037.46
How can you tell from the summary statistics that
the distribution of earnings in each group is strongly
skewed to the right? The use of two-sample t proce-
dures is still justified. Why?
Construct and interpret a 90% confidence interval
for the difference between the mean summer earn-
ings of male and female students at this university.
Interpret the 90% confidence level in the context of
this study.
Transcribed Image Text:Paying for college College financial aid offices ex- pect students to use summer earnings to help pay for college. But how large are these earnings? One large university studied this question by asking a random sample of 1296 students who had summer jobs how much they earned. The financial aid office separated the responses into two groups based on gender. Here are the data in summary form:30 Group Males Females n 675 621 X $1884.52 $1360.39 Sx $1368.37 $1037.46 How can you tell from the summary statistics that the distribution of earnings in each group is strongly skewed to the right? The use of two-sample t proce- dures is still justified. Why? Construct and interpret a 90% confidence interval for the difference between the mean summer earn- ings of male and female students at this university. Interpret the 90% confidence level in the context of this study.
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