Weight Loss Program. A weight loss company advertises that people using its program lose an average of 8 pounds the first month. Suppose a consumer advocacy group gathers evidence to see if this advertising claim is inaccurate, testing the hypotheses H₁: μ-8, H.: u<8 where u is the mean weight loss in pounds. a. The p-value based on a very large sample is 0.008. How strong is the evidence (statistical significance) in the claim that on average people in fact lose less than 8 pounds? b. Practical significance has to do with the magnitude and importance of a result. A 99% confidence interval based for u based on the same data is (7.96, 7.98). Practically speaking, does it seem that the claim of an average of 8 pounds was dishonest? Why or why not?

MATLAB: An Introduction with Applications
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2. Weight Loss Program. A weight loss company advertises that people using its program lose an average of 8
pounds the first month. Suppose a consumer advocacy group gathers evidence to see if this advertising
claim is inaccurate, testing the hypotheses Ho: μ-8, H,:<8 where μ is the mean weight loss in pounds.
a. The p-value based on a very large sample is 0.008. How strong is the evidence (statistical significance)
in the claim that on average people in fact lose less than 8 pounds?
b. Practical significance has to do with the magnitude and importance of a result. A 99% confidence
interval based for μ based on the same data is (7.96, 7.98). Practically speaking, does it seem that the
claim of an average of 8 pounds was dishonest? Why or why not?
I
Transcribed Image Text:2. Weight Loss Program. A weight loss company advertises that people using its program lose an average of 8 pounds the first month. Suppose a consumer advocacy group gathers evidence to see if this advertising claim is inaccurate, testing the hypotheses Ho: μ-8, H,:<8 where μ is the mean weight loss in pounds. a. The p-value based on a very large sample is 0.008. How strong is the evidence (statistical significance) in the claim that on average people in fact lose less than 8 pounds? b. Practical significance has to do with the magnitude and importance of a result. A 99% confidence interval based for μ based on the same data is (7.96, 7.98). Practically speaking, does it seem that the claim of an average of 8 pounds was dishonest? Why or why not? I
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