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We have survey data on the body mass index (BMI) of 668 young women. The mean...

We have survey data on the body mass index (BMI) of 668 young women. The mean BMI in the sample was x = 25. We treated these data as an SRS from a Normally distributed population with standard deviation σ = 8.

(a) Suppose that we had an SRS of just 112 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 396 young women and 1588 young women. (Round your answers to four decimal places.)

396 margin of error:

1588 margin of error:

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Answer #1

a)

We know that the 95% confidence interval for population mean is given by:

So, Margin of error =

b)

Margin of error (n=396) =

Margin of error (n=1588) =

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