Question 4 [25 marks] An economist claims that the mean weekly income of men in a particular industry is £72.40. (a) A s

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Question 4 25 Marks An Economist Claims That The Mean Weekly Income Of Men In A Particular Industry Is 72 40 A A S 1 (74.37 KiB) Viewed 30 times

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Question 4 [25 marks] An economist claims that the mean weekly income of men in a particular industry is £72.40. (a) A sample of 15 male workers gives a sample mean of £73.20 and a sample standard deviation of £2.50. Use this information to test the economist's claim at the 5% level of significance. (12 marks] (b) A sample of 20 female workers in this industry gives a mean income of £69.30 and a sample standard deviation of £3.00. Test the hypothesis that the mean income of women is the same as that of men (i.e., £72.40 per week) against the alternative that women have a lower mean income. Use a 1% significance level for this test. [13 marks]