A scientist in Smallville tested the cholesterol of a random sample of 35 town residents. He constructed the following confidence interval:
t-interval for μ: with 99.00% Confidence: 188 < μ(Cholesterol) < 206
What is the margin of error?
A) 18
B) 9
C) 1.09
D) 197
E) Unable to answer with the given information
2E + 188 = 206
2E = 206-188
2E = 18
E = 9
Answer B
To find the margin of error, we need to find half the width of the confidence interval. The confidence interval is given as:
188 < μ(Cholesterol) < 206
The width of the confidence interval is the difference between the upper limit and the lower limit. In this case, the width is:
206 - 188 = 18
The margin of error is half of this width. So, the margin of error is:
18 / 2 = 9
Therefore, the correct answer is B) 9.