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Properties of a Two-Sample T-Interval

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All of the following statements regarding the construction of a confidence interval for the difference between two population means are true EXCEPT:

Department Mean Accidents Std. Dev. Sample Size
First Department 12.3 3.5 30
Second Department 7.6 3.4 30
A

A t-interval is appropriate for estimating the difference between two means when the population standard deviations are unknown.

B

Increasing the sample sizes, while keeping other factors constant, will narrow the confidence interval for the difference of means.

C

The confidence interval is computed as the difference of sample means plus or minus the product of the t-critical value and the standard error of the difference.

D

When constructing a confidence interval for the difference between two means, the data must come from paired samples.

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