You may need to use the appropriate technology to answer this question. Suppose data made available through a health system tracker showed health expenditures were $10,349 per person in the United States. Use $10,348 as the population mean and suppose a surve 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 0 500 250 250 00 5048 10098 10348 10598 10846 @O -500-250 300 250 0

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(b) What is the probability the sample mean will be within $100 of the population meen? (Round your answer to four decimal places)
(c) What is the probability the sample mean will be greater than 817.4007 (Round your answer to four decimal places)
If the survey research firm reports a sample mean greater than $12,400, would you question whether the firm followed correct sampling procedures? Why or why not?
Yes, because $12,400 is not within $100 of the population mean
O No, because $12,400 is within one standard deviation of $10,348
OYes, because the probability that the sample mean will be greater than $12,400 is very smal
O No, because the probability that the sample mean wibbe greater than $12,400 is very large
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Transcribed Image Text:(b) What is the probability the sample mean will be within $100 of the population meen? (Round your answer to four decimal places) (c) What is the probability the sample mean will be greater than 817.4007 (Round your answer to four decimal places) If the survey research firm reports a sample mean greater than $12,400, would you question whether the firm followed correct sampling procedures? Why or why not? Yes, because $12,400 is not within $100 of the population mean O No, because $12,400 is within one standard deviation of $10,348 OYes, because the probability that the sample mean will be greater than $12,400 is very smal O No, because the probability that the sample mean wibbe greater than $12,400 is very large Need Help? Not
You may need to use the appropriate technology to answer this question.
Suppose data made available through a health system tracker showed health expenditures were $10,349 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
230
5348
0
250
300
230
7048 10348 12848 15348
LA
-500-250
@O
9048 10098 10348 10598 10545
250
X
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Suppose data made available through a health system tracker showed health expenditures were $10,349 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 230 5348 0 250 300 230 7048 10348 12848 15348 LA -500-250 @O 9048 10098 10348 10598 10545 250 X
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