The contingency table illustrates the results of random

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For the following problems, find the expected frequencies of each cell in the table, perform a chi-square test for independence, and comment on the relationship between the variables. Assume the variables are independent.

a. The contingency table shows the results of a random sample of college professors and the years of teaching at the university level.

Gender

< 1 Year

1 - 3 Years

4 - 7 Years

8 - 15 Years

Over 15 Years

Male

35

47

58

135

150

Female

53

68

128

97

54

b. The contingency table shows the results of a random sample of individuals by gender and gas mileage of vehicle owned.

Gender

1 - 15 MPG

16 - 21 MPG

22 - 28 MPG

29 - 35 MPG

Over 35 MPG

Male

13

86

118

87

24

Female

11

45

68

134

128

Reference no: EM13471871

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