Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is $\mu _ { \mathrm { d } } = 0$ 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.
-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.
$$\begin{array} { l c c c c c c c c c c }
\hline \text { Plot: } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \
\hline \text { Before } & 9 & 9 & 8 & 7 & 6 & 8 & 5 & 9 & 10 & 11 \
\text { After } & 10 & 9 & 9 & 8 & 7 & 10 & 6 & 10 & 10 & 12 \
\hline
\end{array}$$
You wish to test the following hypothesis at the 10 percent level of significance.
$\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 0 \text { against } \mathrm { H } _ { 1 } : \mu _ { \mathrm { d } } \neq 0 \text {. }$
What is the value of the appropriate test statistic?
A) 5.014
B) 1.584
C) 2.033
D) 2.536

Question

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is $\mu _ { \mathrm { d } } = 0$ 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.
-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. 
$$\begin{array} { l c c c c c c c c c c } 
\hline \text { Plot: } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \
\hline \text { Before } & 9 & 9 & 8 & 7 & 6 & 8 & 5 & 9 & 10 & 11 \
\text { After } & 10 & 9 & 9 & 8 & 7 & 10 & 6 & 10 & 10 & 12 \
\hline
\end{array}$$
 You wish to test the following hypothesis at the 10 percent level of significance. 
$\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 0 \text { against } \mathrm { H } _ { 1 } : \mu _ { \mathrm { d } } \neq 0 \text {. }$
 What is the value of the appropriate test statistic?
A) 5.014
B) 1.584
C) 2.033
D) 2.536

Quizplus · Accepted Answer

The correct answer is A.The t test statistic is calculated as:$$t = \frac{\overline{d} - \mu_d}{s_d / \sqrt{n}}$$where $\overline{d}$ is the sample mean difference, $\mu_d$ is the hypothesized population mean difference, $s_d$ is the sample standard deviation of the differences, and $n$ is the sample size.In this case, we have:$\overline{d} = 0.9$$\mu_d = 0$$s_d = 1.8$$n = 10$Plugging these values into the formula, we get:$$t = \frac{0.9 - 0}{1.8 / \sqrt{10}} = 5.014$$Therefore, the value of the t test statistic is 5.014.

Assume That You Want to Test the Claim That the Paired