Question A
In a study to determine whether gender affects starting salary for college graduates, statistician A
randomly selected and surveyed 100 male and 100 female students who recently graduated. The
starting salary (in thousands of dollars) to each graduate is recorded in T5_1.xlsx (sheet Question
A). Is there enough evidence at the 5% significance level to infer that female graduates have a lower
starting salary than male graduates (use the same significance level for testing equal variance)?
Question B
In the same study as in question A, statistician B randomly selected 100 pairs of students. Each pair
consisted of a female and a male student who were matched according to their major, overall grade,
subjects taken, ages and previous work experience. The starting salary (in thousands of dollars) to each
graduate is recorded in T5_1.xlsx (sheet Question B). Is there enough evidence at the 5% significance
level to infer that female graduates have a lower starting salary than male graduates? Discuss your
results compared to Question A.
Question C
A fast food chain wants to know if their two stores, one in the west and one in the east part of the
city, are serving their customers with equal accuracy. In the west store, 129 are served correctly in a
sample of 150 orders. In the east store, 93 are served correctly in a sample of 100 orders. Compute a
95% confidence interval for the average difference in the proportion of correctly served orders.
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