Notes O Ask Your We have survey data on the body mass index (BMI) of 644 young w

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Notes O Ask Your We have survey data on the body mass index (BMI) of 644 young women. The mean BMI in the sample was x - as an SRS from a Normally distributed population with standard deviation ,-7. (a) Suppose that we had an SRS of just 124 young women, what would be the margin of error for 9s% answer to four decimal places.) confidence? (Round your (b) Find the margins of error for 95% confidence based on SRSs of 401 young women and 1624 young women. (Round your answers to four decimal places.) margin of error 401 1624 (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? O Margin of error remains the same as n increases. 0 Margin of error increases as n increases. O Margin of error decreases as n increases eBook

Explanation / Answer

Ans:

Given that

population standard deviation=7

a)n=124

critical z valur for 95% CI is 1.96

Margin of error=1.96*7/sqrt(124)=1.2321

b)

c)We can see from above table,margin of error decreases as n increases.

n ME=1.96*7/sqrt(n) 124 1.2321 401 0.6851 1624 0.3405

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