The president of a local union is interested in the mean value of bonuses awarded to a company’s employees. The company has 35 divisions, and a simple random sample of 5 of these is taken. The following table gives the results of this sample:

(a) Find a point estimate of the population mean bonus per employee.

(b) Find a 90 % confidence interval for the population mean.

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Division sampled 1 2345 Number of employees 55 97 60 35 72 Mean bonus $70 101 40 89 56