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# P-Value of Weight Loss

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31. A new weight-watching company, Weight Reducers International, advertises that those
who join will lose, on the average, 10 pounds the first two weeks with a standard deviation
of 2.8 pounds. A random sample of 50 people who joined the new weight reduction program
revealed the mean loss to be 9 pounds. At the .05 level of significance, can we
conclude that those joining Weight Reducers on average will lose less than 10 pounds?
Determine the p-value

https://brainmass.com/statistics/hypothesis-testing/p-value-259846

#### Solution Preview

See the attached file. Thanks

Data

Step 1: Set the hypothesis. The claim made will be the alternate hypothesis.
H0: = 10
H1: < 10

Step 2: Set the Level of Significance
Level of significance a = 0.05

Step 3: Determine the type of ...

#### Solution Summary

This solution conducts a statistical analysis by stating the null and alternative hypothesis, setting the level of significance, calculating the test statistic, comparing it to the p-value and making a final decision in accepting or rejecting the null hypothesis.

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