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4. The department of finance of Wells Fargo Bank wants to estimate the amount of

ID: 3350685 • Letter: 4

Question

4. The department of finance of Wells Fargo Bank wants to estimate the amount of an annual healthcare premium needed for an investor banker as part of a new recruiting program. In a sample of 75 investor bankers, they found that the average yearly premium needed is $28,500 with a standard deviation of $3,500. (a) What is the population mean? What is the best estimate of the population mean? (b) Develop an 80% confidence interval for the population mean (c) Assuming a 99% level of confidence, how large of a sample is required with an acceptable error of $300?

Explanation / Answer

a) here population mean for premium is unknown

Best estimate of the population mean =28500

b)

c)

sample mean = 28500 sample size                 n= 75 population std deviation = 3500 standard errror of mean = x=/n= 404.1452
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