Assume that you want to test the claim that the paired sample data come from a population for which the mean differencenis $\mu _ { \mathrm { d } } = 0$ 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.
-$\begin{array}{c|ccccc}
\mathrm{x} & 9 & 1 & 7 & 7 & 11 \
\hline \mathrm{y} & 6 & 3 & 3 & 8 & 6
\end{array}$
A) $t = 1.292$
B) $t = 2.890$
C) $t = 0.415$
D) $\mathrm { t } = 0.578$

Question

Quizplus · Accepted Answer

The correct answer is A because the t-test statistic is calculated as (x̄ - μd) / (sd / √n), where x̄ is the sample mean difference, μd is the hypothesized population mean difference, sd is the sample standard deviation of the differences, and n is the sample size. Plugging in the given values, we get t = (6 - 0) / (2.828 / √5) = 1.292.

Assume That You Want to Test the Claim That the Paired