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Use the confidence level and Sample data to find the margin of error E. Round your answer to the same number of decimal places as the sample mean unless otherwise noted.
Soulistic blood pressures for women aged 18-24: 94% confidence, n=92, x= 112.1 mm Hg, standard deviation=13.5 mm Hg
A)2.6 mm Hg
B)2.3 mm Hg
C)47.1 mm Hg
D)2.2 mm Hg

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Answer:

A) 2.6 mm Hg

Step-by-step explanation:

Margin of error = critical value × standard error

ME = CV × SE

n > 30, so we can approximate CV with a normal distribution.  At P = 94%, CV = 1.88.

SE = σ / √n

SE = 13.5 / √92

SE = 1.41

So the margin of error is:

ME = 1.88 × 1.41

ME = 2.6

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