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Graduate admissions. A 1975 article in the magazine Science examined the graduate admissions process at Berkeley for evidence of sex discrimination. The table below shows the number of applicants accepted to each of four graduate programs:
Males accepted (of applicants)
Females accepted (of applicants)
Program
1
511 of 825
89 of 108
2
352 of 560
17 of 25
3
137 of 407
132 of 375
4
22 of 373
24 of 341
Total
1022 of 2165
262 of 849
a) What percent of total applicants were admitted?
b) Overall, was a higher percentage of males or females admitted?
c) Compare the percentage of males and females admitted in each program.
d) Which of the comparisons you made do you consider to be the most valid? Why.
Exam grades across all sections of introductory statistics at a large university are approximately normally distributed with a mean of and a standard deviation of . Use the normal distribution to answer the following questions.
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