Question

Suppose data made available through a health system tracker showed health expenditures were $10,348 per person in the United States. Use $10,348 as the population mean and suppose a survey research firm will take a sample of 100 people to investigate the nature of their health expenditures. Assume the population standard deviation is $2,500.

(b)What is the probability the sample mean will be within ±$150 of the population mean? (Round your answer to four decimal places.)

(c)What is the probability the sample mean will be greater than $12,200? (Round your answer to four decimal places.)

If the survey research firm reports a sample mean greater than $12,200, would you question whether the firm followed correct sampling procedures? Why or why not?

Yes, because the probability that the sample mean will be greater than $12,200 is very small.

No, because $12,200 is within one standard deviation of $10,348.    

Yes, because $12,200 is not within ±$150 of the population mean.

No, because the probability that the sample mean will be greater than $12,200 is very large.

Answer 1

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