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A statistician wants to determine if the mean length of imprisonment for motor vehicle theft in...

A statistician wants to determine if the mean length of imprisonment for motor vehicle theft in City A is different from the national average of 18.1 months. Based on study of a random sample of 100 offenders, the resulting 95% confidence interval estimate of μ, the mean time served in by those convicted of motor vehicle theft in City A, was 16.6 < μ < 19.0. Can the statistician conclude that μ, the mean time served in City A, is different from the national average of 18.1 months?

Yes, because the confidence interval contains 18.1.

There is not enough information given to answer the question.

No, because the sample size is too small to make a valid comparison.

No, because the confidence interval contains 18.1.

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Answer #1

Null hypothesis value is between the calculated confidence interval.

Therefore, we fail to reject H0

No, because the confidence interval contains 18.1.
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