The average weight of a group of individuals in a weight loss program was originally 200 pounds. After 2 weeks of the program, a sample of 60 such individuals are considered, and it is found that the average weight for these sampled individuals is 180 pounds with a standard deviation of 80 pounds. What would be the pair of hypotheses to test if the average weight has gone down. A. H0 : μ ≥ 200 vs Ha : μ < 200 B. H0 : μ > 200 vs Ha : μ < 200 C. H0 : μ <200 vs Ha : μ > 200 D. H0 : μ < 200 vs Ha : μ ≥ 200 2. If the level of significance is given to be 5%, what would be your decision using the p-value approach? A. The p value is less than or equal to 0.05 and we fail to reject the null hypothesis B. The p value is less than or equal to 0.05 and we reject the null hypothesis C. The p value is greater than 0.05 and we reject the null hypothesis D. The p value is greater than 0.05 and we fail to reject the null hypothesis 3. What would be your conclusion based on problem 2 above? A. The average weight has indeed gone down significantly in 2 weeks after the weight loss program. B. The average weight has not gone down significantly in 2 weeks after the weight loss program. C. The average weight has stayed the same in 2 weeks after the weight loss program. D. The average weight has gone up significantly in 2 weeks after the weight loss program.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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1. The average weight of a group of individuals in a weight loss program was originally 200 pounds. After 2 weeks of the program, a sample of 60 such individuals are considered, and it is found that the average weight for these sampled individuals is 180 pounds with a standard deviation of 80 pounds. What would be the pair of hypotheses to test if the average weight has gone down.

A. H0 : μ ≥ 200 vs Ha : μ < 200

B. H0 : μ > 200 vs Ha : μ < 200

C. H0 : μ <200 vs Ha : μ > 200

D. H0 : μ < 200 vs Ha : μ ≥ 200

2. If the level of significance is given to be 5%, what would be your decision using the p-value approach?

A. The p value is less than or equal to 0.05 and we fail to reject the null hypothesis

B. The p value is less than or equal to 0.05 and we reject the null hypothesis

C. The p value is greater than 0.05 and we reject the null hypothesis

D. The p value is greater than 0.05 and we fail to reject the null hypothesis

3. What would be your conclusion based on problem 2 above?

A. The average weight has indeed gone down significantly in 2 weeks after the weight loss program.

B. The average weight has not gone down significantly in 2 weeks after the weight loss program.

C. The average weight has stayed the same in 2 weeks after the weight loss program.

D. The average weight has gone up significantly in 2 weeks after the weight loss program.

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