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Given the following hypotheses: the true mean equals 100 (the null) and the true mean does not equal 100 (the alternate), a random sample of six resulted in the following values: 118, 105, 112, 119, 105, 111. Using = .05, can we conclude the true mean differs from 100? In the process of answering this question: a) state the decision rule, b) compute the value of the test statistic, c) make a decision, d) estimate (approximately at least) the p-value.

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Solution Summary

The solution computes the true mean, and p-value of a hypothesis test.

Solution Preview

H0 : mean = 100
Ha : mean is not equal to 100
Test statistic :
_
x - mean / sd ...

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