5. +-13.25 points MBasicStat7 16E009 We have survey data on the body mass index

Question

5. +-13.25 points MBasicStat7 16E009 We have survey data on the body mass index (BMI) of 666 young women. The mean BMI in the sample was x -27. We treated these data as an SRS from a Normally distributed population with standard deviation o7, My Notes Ask Your Teacher (a) Suppose that we had an SRS of just 79 young women. What would be the margin of error for 95% confidence? (Round your answer to four decimal places.) (b) Find the margins of error for 95% confidence based on SRSs of 425 young women and 1620 young women. (Round your answers to four decimal places.) margin of error 425 1620 (c) Compare the three margins of error. How does increasing the sample size change the margin of error of a confidence interval when the confidence level and population standard deviation remain the same? Margin of error increases as n increases. Margin of error remains the same as n increases. Margin of error decreases as n increases.

Explanation / Answer

a)

Margin of error =1.96 * 7/?79 = 1.5436

b)

Margin of error =1.96 * 7/sqrt(425) = 0.6655

Margin of error =1.96 * 7/sqrt(1620) = 0.3409

c)

Margion of error DECREASES as n increases.

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