Is there any proof that the average heat production is larger than 45 watts? Formally test the hypothesis with a 6% significance threshold. b) What is the significance level for this test?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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The average heat output of chemical heating pads, according to the manufacturer, is 45 watts. The sampling mean for a group of 12 pads is 23.4 watts. Assume that the standard deviation is 9.4 watts, as determined by prior experiments.

a) Is there any proof that the average heat production is larger than 45 watts? Formally test the hypothesis with a 6% significance threshold.

b) What is the significance level for this test?

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