SOLUTION: Researchers were studying the relationship between age and pocket depth. They measured the pocket depth of 11 young subjects (ages 20-25) and 11 old subjects (ages 50-55). They w

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Question 219050: Researchers were studying the relationship between age and pocket depth. They measured the pocket depth of 11 young subjects (ages 20-25) and 11 old subjects (ages 50-55). They wanted to know if there was a difference in mean pocket depth between the two groups. Assume that pocket depth has a relatively normal distribution.Suppose the test statistic for the test above was 4.0. What would your conclusion be assuming you wanted a Type I error of 0.05?

Answer by stanbon(75887) About Me  (Show Source):
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Researchers were studying the relationship between age and pocket depth.
They measured the pocket depth of 11 young subjects (ages 20-25) and 11 old subjects (ages 50-55). They wanted to know if there was a difference in mean pocket depth between the two groups.
Assume that pocket depth has a relatively normal distribution.Suppose the test statistic for the test above was 4.0. What would your conclusion be assuming you wanted a Type I error of 0.05?
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The test was a 2-tail test because they were looking for a "difference".
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Each tail of the test contained 2.5%
The critical values are around 2.10
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The test statistic of 4 would be in the rejection interval.
So Reject Ho. The difference in pocket depth is supported by the test.
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Cheers,
Stan H.