Question

The water diet requires one to drink two cups of water every half hour from when one gets up until one goes to bed, but otherwise allows one to eat whatever one likes. Four adult volunteers agree to test the diet. They are weighed prior to the diet and after six weeks on the diet. The weights (in pounds) are as follows: ovoce Person 1 2 3 4 Weight before the diet|180125240150 Weight after six weeks 170 130215 152 Difference 10 -5 25 -2 For the population of all adults, assume that the weight loss after six weeks on the diet (weight before beginning the diet minus weight after six weeks on the diet) is normally distributed with mean u. To determine if the diet leads to weight loss, we test the following hypotheses: Ho: u= 0, HA: u 70 Based on these data, O we would reject the null hypothesis at significance level 0.10, but not 0.05. Owe would reject the null hypothesis at significance level 0.01. we would reject the null hypothesis at significance level 0.05, but not at 0.01. O we would not reject the null hypothesis at significance level 0.10.

Answer 1

We have here,

Sample mean for difference=7      
Sample standard deviation for difference=13.64  
Sample size =n=   4      
          

T test statistic for paired t test

D-HD

7 - 0 13.64 V4

=1.03

P value is = 0.3788................by using Excel command TDIST(1.03,3,2)

0.3788>0.10

0 Ho : x = 0, HA: Based on these data, we would reject the null hypothesis at significance level 0.10, but not O.OS. we would reject the null hypothesis at significance level 0.01 we would reject the null hypothesis at significance level 0.05, but not at 0.01 we would not reject the null hypothesis at significance level 0.10.