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3. The following earnings data represent random samples drawn from male and female company executives in the United Kingdom. Male and Female Executive Earnings Male

3. The following earnings data represent random samples drawn from male and female company executives in the United Kingdom.

Male and Female Executive Earnings

Male Earnings -

Female Earnings -

50100

41200

47800

36600

45000

44500

51500

47800

55000

42500

53850

47500

51500

40500

63900

28900

57800

48000

61100

42300

51000

40000

31400

(a) Use a significance level of 0.05 to ascertain if earnings variability is different across gender.

(b) Use a t-test and a significance level of 0.05 to establish whether, on average, a male chief executive earns significantly more than a female chief executive.

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