Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is $\mu _ { d } = 0 .$ Compute the value of the t test statistic. Round intermediate calculations to four decimal
Places as needed and final answers to three decimal places as needed. $$\begin{array} { | l | c c c c c c c c c | }
\hline \text { Subject } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } & \mathrm { F } & \mathrm { G } & \mathrm { H } & \mathrm { I } \
\hline \text { Before } & 168 & 180 & 157 & 132 & 202 & 124 & 190 & 210 & 171 \
\hline \text { After } & 162 & 178 & 145 & 125 & 171 & 126 & 180 & 195 & 163 \
\hline
\end{array}$$
A) 9.468
B) 3.156
C) 1.052
D) 0.351

Question

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is $\mu _ { d } = 0 .$ Compute the value of the t test statistic. Round intermediate calculations to four decimal
Places as needed and final answers to three decimal places as needed. $$\begin{array} { | l | c c c c c c c c c | } 
\hline \text { Subject } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } & \mathrm { F } & \mathrm { G } & \mathrm { H } & \mathrm { I } \
\hline \text { Before } & 168 & 180 & 157 & 132 & 202 & 124 & 190 & 210 & 171 \
\hline \text { After } & 162 & 178 & 145 & 125 & 171 & 126 & 180 & 195 & 163 \
\hline
\end{array}$$
A) 9.468
B) 3.156
C) 1.052
D) 0.351

Quizplus · Accepted Answer

The t test statistic is calculated using the differences between the paired samples. First, find the differences, then calculate the mean and standard deviation of these differences. Finally, use the formula for the t statistic for paired samples: $ t = \frac{\bar{d}}{s_d/\sqrt{n}} $, where $\bar{d}$ is the mean of the differences, $s_d$ is the standard deviation of the differences, and $n$ is the number of pairs. The calculation results in a t statistic of approximately 3.156.

Assume That You Want to Test the Claim That the Paired