last?dep=26418811 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. (a) Show the sampling distribution of the mean amount of health care expenditures in dollars for a sample of 100 people. -250 250 500 750 -500 -250 250 500 9848 10 098 10348 10598 10 848 5348 7848 10348 12848 15 348 (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 $12,600? (Round your answer to four decimal places.)

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last?dep=26418811
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.
(a) Show the sampling distribution of the mean amount of health care expenditures in dollars for a sample of 100 people.
- 250
250
500
750
-500
-250
250
500
5348
7848
10348 12848 15 348
9848
10 098 10348 10598
10 848
(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 $12,600? (Round your answer to four decimal places.)
Transcribed Image Text:last?dep=26418811 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. (a) Show the sampling distribution of the mean amount of health care expenditures in dollars for a sample of 100 people. - 250 250 500 750 -500 -250 250 500 5348 7848 10348 12848 15 348 9848 10 098 10348 10598 10 848 (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 $12,600? (Round your answer to four decimal places.)
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