Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis
-The following table shows the weights of nine subjects before and after following a particular diet for two months. You wish to test the claim that the diet is effective in helping people lose weight. What is the value of the appropriate test statistic? $$\begin{array} { r | r r r r r r r r r }
\text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } & \text { H } & \text { I } \
\hline \text { Before } & 168 & 180 & 157 & 132 & 202 & 124 & 190 & 210 & 171 \
\hline \text { After } & 162 & 178 & 145 & 125 & 171 & 126 & 180 & 195 & 163
\end{array}$$
A)0.351
B)1.052
C)3.156
D)9.468

Question

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis
-The following table shows the weights of nine subjects before and after following a particular diet for two months. You wish to test the claim that the diet is effective in helping people lose weight. What is the value of the appropriate test statistic? $$\begin{array} { r | r r r r r r r r r } 
\text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } & \text { H } & \text { I } \
\hline \text { Before } & 168 & 180 & 157 & 132 & 202 & 124 & 190 & 210 & 171 \
\hline \text { After } & 162 & 178 & 145 & 125 & 171 & 126 & 180 & 195 & 163
\end{array}$$
A)0.351
B)1.052
C)3.156
D)9.468

Quizplus · Accepted Answer

The appropriate test statistic for this paired sample t-test is calculated using the differences in weights before and after the diet for each subject. The formula involves calculating the mean difference, the standard deviation of the differences, and then dividing by the square root of the number of pairs. The calculated test statistic value of 3.156 indicates the effectiveness of the diet in helping people lose weight if it exceeds the critical value from the t-distribution for the given significance level and degrees of freedom (n-1, where n is the number of pairs).

Determine the Decision Criterion for Rejecting the Null Hypothesis in the Given