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  1. mathematics
  2. statistics
  3. the following set of data represents the distribut

The following set of data represents the distribution of annual salaries of a random sample of 100managers...

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Statistics

  1. The following set of data represents the distribution of annualsalaries of a random sample of

100managers in a large multinationalcompany:

Salary range (£` 000' )

Managers

20 but under 25

25 but under 30

30 but under 35

35 but under 40

40 but under 45

45 but under 50

5

10

25

35

25

5

  1. Calculate the mean and standard deviation. [5 Marks]
  2. The company chairman claims that the managers in the companyearn on average annual salary in excess of £ 35,500. Use the resultin (i) to test the chairman’s claim at 5% level of significance. [5Marks]

sample size is 105. thanks

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