Assume That You Want to Test the Claim That the Paired

Multiple Choice

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is $\mu _ { \mathrm { d } } = 0$ . Compute the value of the $t$ test statistic.
-A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The results are shown below. $\begin{array} { l l l l l l l l l l l } \text { Plot: } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\text { Before } & 9 & 9 & 8 & 7 & 6 & 8 & 5 & 9 & 10 & 11 \\ \text { After } & 10 & 9 & 9 & 8 & 7 & 10 & 6 & 10 & 10 & 12 \end{array}$
You wish to test the following hypothesis at the 5 percent level of significance.
$$\mathrm { H } _ { \mathrm { O } } : \mu _ { \mathrm { D } } = 0 \text { against } \mathrm { H } _ { 1 } : \mu _ { \mathrm { D } } \neq 0 \text {. }$$ What is the value of the appropriate test statistic?

A) 2.536
B) 1.584
C) 5.014
D) 2.033