A powder diet is tested on 49 people and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a different average weight loss than the powder diet. The powder diet group had an average weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had an average weight loss of 45 pounds with a standard deviation of 14 pounds. Conduct a hypothesis test at the 5% level of significance. a) State the null and alternative hypotheses in terms of the appropriate parameter. Ho: Select an answer ♥? ♥ pounds Ha: Select an answer ♥? v pounds b) The test statistic is ?v (If necessary, round your answer to the nearest hundredth.) c) The p-value is . (If necessary, round your answer to three decimal places.) d) The correct decision is to Select an answer ♥ the null hypothesis. e) There is Select an answer ♥ evidence at the 5% level of significance that the liquid diet yields a different weight loss than the powder diet.

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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A powder diet is tested on 49 people and a liquid diet is tested on 36 different people. Of interest is
whether the liquid diet yields a different average weight loss than the powder diet. The powder diet group
had an average weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had
an average weight loss of 45 pounds with a standard deviation of 14 pounds. Conduct a hypothesis test at
the 5% level of significance.
a) State the null and alternative hypotheses in terms of the appropriate parameter.
Ho: Select an answer ♥
pounds
Ho: Select an answer V
pounds
b) The test statistic is ? V =
(If necessary, round your answer to the nearest hundredth.)
c) The p-value is
- (If necessary, round your answer to three decimal places.)
d) The correct decision is to Select an answer v the null hypothesis.
e) There is Select an answer v evidence at the 5% level of significance that the liquid diet yields a
different weight loss than the powder diet.
Transcribed Image Text:A powder diet is tested on 49 people and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a different average weight loss than the powder diet. The powder diet group had an average weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had an average weight loss of 45 pounds with a standard deviation of 14 pounds. Conduct a hypothesis test at the 5% level of significance. a) State the null and alternative hypotheses in terms of the appropriate parameter. Ho: Select an answer ♥ pounds Ho: Select an answer V pounds b) The test statistic is ? V = (If necessary, round your answer to the nearest hundredth.) c) The p-value is - (If necessary, round your answer to three decimal places.) d) The correct decision is to Select an answer v the null hypothesis. e) There is Select an answer v evidence at the 5% level of significance that the liquid diet yields a different weight loss than the powder diet.
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ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning