A paired difference experiment is conducted to compare the starting salaries of male and female graduates who find jobs. Pairs are formed by choosing a male and a female with the same major and similar grade-point average. Suppose a random sample of 10 pairs is formed in the same manner, and the starting annual salary of each person is recorded. The results are shown below. Test to see whether there is evidence that the mean starting salary of males exceeds the mean starting salary of females. Use 0.025 level of significance. Pair 1 2 3 4 5 6 7 8 9 10 Male 4,300 6,500 5,400 3,500 8,500 2,800 4,500 6,200 3,400 4,200 Female 3,800 6,600 4,800 3,500 7,600 3,000 2,000 5,100 3,200 3,500

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Author:Amos Gilat
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A paired difference experiment is conducted to
compare the starting salaries of male and female
graduates who find jobs. Pairs are formed by
choosing a male and a female with the same major
and similar grade-point average. Suppose a random
sample of 10 pairs is formed in the same manner,
and the starting annual salary of each person is
recorded. The results are shown below. Test to see
whether there is evidence that the mean starting
salary of males exceeds the mean starting salary
of females. Use 0.025 level of significance.
Pair
1
2
3
4
LO
5
6
7
8
9
10
Male
4,300
6,500
5,400
3,500
8,500
2,800
4,500
6,200
3,400
4,200
Female
3,800
6,600
4,800
3,500
7,600
3,000
2,000
5,100
3,200
3,500
Transcribed Image Text:A paired difference experiment is conducted to compare the starting salaries of male and female graduates who find jobs. Pairs are formed by choosing a male and a female with the same major and similar grade-point average. Suppose a random sample of 10 pairs is formed in the same manner, and the starting annual salary of each person is recorded. The results are shown below. Test to see whether there is evidence that the mean starting salary of males exceeds the mean starting salary of females. Use 0.025 level of significance. Pair 1 2 3 4 LO 5 6 7 8 9 10 Male 4,300 6,500 5,400 3,500 8,500 2,800 4,500 6,200 3,400 4,200 Female 3,800 6,600 4,800 3,500 7,600 3,000 2,000 5,100 3,200 3,500
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