Answers AZ-Common Core Algebra II B Statistical InferencesQuestion 8

8

QuizMultiple Choice

Statistical Inferences

Question 8 • AZ-Common Core Algebra II B

A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5.9 at a 95% level of confidence. If the mean of the sample is 18.7, what is the 95% confidence interval for the population mean?

Answer

A

18.7 ± 5.9

B

18.7 ± 9.7

C

18.7 ± 11.6

D

18.7 ± 15.2

Explanation

A confidence interval for the population mean is the sample mean plus or minus the margin of error. Using the sample mean 18.7 and margin of error 5.9 gives 18.7 ± 5.9, or (12.8, 24.6). This matches choice A.

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