The director of a university’s career development center is interested in comparing the starting annual salaries of male and female...
The director of a university’s career development center is interested in comparing the starting annual salaries of male and female students who recently graduated from the university and commenced full-time employment. The director has formed pairs of male and female graduates with the same major and similar grade- point averages. Specifically, she has collected a random sample of 50 such pairs and has recorded the starting annual salary of each person. Data is provided in attached spreadsheet. Find a 95% confidence interval for the mean difference between similar male and female graduates of this university. Interpret your result.
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xxxxxxxxxx xxxxxxxxx xxxxxxx population values found xx be consistent with xxx xxxxx xx a xxxxxxxxxx interval for x xxxx xxxxxxxxxx includes xx xxx xxxx are consistent xxxx x population xxxx xxxxxxxxxx of xx xx the xxxxxxxxxx xx 0, the population xxxxx xxx equal. xx the xxxxxxxxxx xxxxxxxx for x xxxxxxxxxx excludes 0, xxx xxxx xxx xxx consistent with equal xxxxxxxxxx means. A xxx xxxxxxxxxx xxxxxxxx is an xxxxxxxx xxxxxxxxx xx x process that's xxxxx 99% xx xxx xxxxx
To construct a confidence interval, xx need xx xxxx xxx variability xx the difference xxxxxxx sample xxxxxx xxxx xxxxx we need to xxxx xxx xx compute the xxxxxxxx deviation of xxx sampling distribution of xxx xxxxxxxxxxx
If xxx xxxxxxxxxx xxxxxxxx deviations xxx known, the xxxxxxxx deviation xx xxx xxxxxxxx distribution xxx
σ x1-x2 x sqrt [σ1 / n1 + xxx / xxx
xxxxx xxx xx the standard xxxxxxxxx of xxx xxxxxxxxxx 1, xxx is xxx xxxxxxxx deviation of the population xx and xx xx the xxxx of xxxxxx 1, and n2 xx xxx xxxx of
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