Question

approp technol 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. -500 -250 0 250 500 9848 10098 10348 10598 10848 7848 10348 12848 15348 -250 0 250 500 750 (b) What is the probability the sample mean will be within \$\pm150 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.) If the survey research firm reports a sample mean greater than \$12,600, would you question whether the firm followed correct sampling procedures? Why or why not? No, because the probability that the sample mean will be greater than \$12,600 is very large. Yes, because the probability that the sample mean will be greater than \$12,600 is very small. No, because \$12,600 is within one standard deviation of \$10,348. Yes, because \$12,600 is not within \$150 of the population mean.

          approp technol
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.
-500 -250
0
250 500
9848 10098 10348 10598 10848
7848 10348 12848 15348
-250
0
250 500 750
(b) What is the probability the sample mean will be within \$\pm150 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.)
If the survey research firm reports a sample mean greater than \$12,600, would you question whether the firm followed correct sampling procedures? Why or why not?
No, because the probability that the sample mean will be greater than \$12,600 is very large.
Yes, because the probability that the sample mean will be greater than \$12,600 is very small.
No, because \$12,600 is within one standard deviation of \$10,348.
Yes, because \$12,600 is not within \$150 of the population mean.

approp technol
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.
-500 -250
0
250 500
9848 10098 10348 10598 10848
7848 10348 12848 15348
-250
0
250 500 750
(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.)
If the survey research firm reports a sample mean greater than $12,600, would you question whether the firm followed correct sampling procedures? Why or why not?
No, because the probability that the sample mean will be greater than $12,600 is very large.
Yes, because the probability that the sample mean will be greater than $12,600 is very small.
No, because $12,600 is within one standard deviation of $10,348.
Yes, because $12,600 is not within $150 of the population mean.

Added by Craig C.

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