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Mathematics, 06.05.2020 21:25 Kurlyash

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Fitness experts advise people who want to lose weight to drink protein shakes after workout sessions, because it helps build muscle mass and speeds up the weight-loss process. To test the effectiveness of protein shakes in losing weight, 200 adults between the ages of 25 and 40 years were divided equally into two groups: a treatment group and a control group. The treatment group was asked to drink a protein shake after every workout session for a period of 6 months. The subjects’ weights were noted before and after the treatment.

The results showed that the mean change in the amount of weight lost by the treatment group is 8 points more than that of the control group. To test whether the results could be explained by random chance, researchers created a table that summarizes the results of 1,000 re-randomizations of the data with differences of means rounded to the nearest 2 points.

Consider the significance level to be set at 5%, so results less than 5% can be

considered statistically significant

Part A

Determine the probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more.

Part B

Is the result statistically significant? Explain your answer.

Part C

What does your answer mean in the context of drinking protein shakes while on a weight-loss program?


HURRY PLEASEFitness experts advise people who want to lose weight to drink protein shakes after work

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