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P-value and Critical Value

1.
When 50 people used the 5-2 fast diet for one year, their mean weight loss was 5 pounds and the standard deviation was 4 pounds. Use a .05 significance level to test the claim that their average weight loss is greater than 2 pounds. Find the appropriate null and alternative hypotheses.

2.
For the problem above, find the value of the test statistic.

3.
For the problem above, find the P-value.

4.
For the problem above, find the critical value.

5.
Using either the P-value or the critical value, make a conclusion about this claim.

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