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 the alternative hypothesis is that the average difference is greater than zero, the null hypothesis would be rejected if the observed value of t is _______.

A) greater than 1.533
B) less than -1.533
C) greater than 2.132
D) less than -2.132
E) equal to 2.333