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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