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a. Random samples of 20 women and 25 men are selected from the population of first-level managers of a health organization. The table provides salary

a. Random samples of 20 women and 25 men are selected from the population of first-level managers of a health organization. The table provides salary information (in $1000).

Women

Men

56.8

52.1

53.3

61.8

62.9

63.1

60.8

57.6

58.6

62.1

50.2

65.6

64.3

66.8

57.8

71.4

57.9

62.8

58.0

63.8

63.8

52.2

58.8

71.2

60.2

59.2

55.2

62.9

61.2

66.2

63.4

65.9

61.1

52.5

54.6

66.9

56.3

70.4

57.4

60.1

60.6

68.4

64.2

62.9

63.2

b. Perform an appropriate test to determine if the variances for women salaries and men salaries are different. Use alpha = 0.05(State the null and the alternative hypothesis, determine a critical value, present a test statistic, and provide a p-value and your decision.)

Using your result in part a, perform an appropriate test to determine if the mean salaries for women and men are different. Use alpha =0.05(State the null and the alternative hypothesis, determine a critical value, present a test statistic, and provide a p-value and your decision.)

c. Provide an interpretation of the p-value in part b.

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