A Researcher Is Conducting a Matched-Pairs Study Assume That the Data Are Normally Distributed in the Population

Multiple Choice

A researcher is conducting a matched-pairs study.She gathers data on each pair in the study resulting in: $$\begin{array} { | c | c | c | } \hline \text { Pair } & \text { Group 1 } & \text { Group 2 } \\\hline 1 & 10 & 12 \\\hline 2 & 8 & 9 \\\hline 3 & 11 & 11 \\\hline 4 & 8 & 10 \\\hline 5 & 9 & 12 \\\hline\end{array}$$ Assume that the data are normally distributed in the population.The level of significance is selected to be 0.10.If a two-tailed test is performed, the null hypothesis would be rejected if the observed value of t is _______.

A) less than -1.533 or greater than 1.533
B) less than -2.132 or greater than 2.132
C) less than -2.776 or greater than 2.776
D) less than -1.860 or greater than 1.860
E) less than -2.000 or greater than 2.000