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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Question: 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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