A new weight-loss technique, consisting of a liquid protein diet, is currently undergoing tests by Health Canada before its introduction into the market. A typical test performed by the Health Canada is the following: The weights of a random sample of five people are recorded before they are introduced to the liquid protein diet. The five individuals are then instructed to follow the liquid protein diet for 3 weeks. At the end of this period, their weights (in pounds) are again recorded. The results are listed in the table. Let ????1 be the true mean weight of individuals before starting the diet and let ????2 be the true mean weight of individuals after 3 weeks on the diet
TABLE INCLUDED IN ATTACHMENT.
-Summary information is as follows: ???? = 5, ???????? = 1.58. Conduct a test at the 10% level ofsignificance to determine if the diet is effective at reducing weight.
* show all your work*
Here the null and alternative hypotheses are,
H 0 : ?d =0?H 1 : ?d > 0
As the samples are dependent so this is a paired t-test. The test is right tailed and thus the
rejection region is,...
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