Professor handy measured the time in seconds required to catch a falling meter stick for 12 randomly selected students’ dominant hand and nondominant hand. the minitab express file contains these measurements. professor handy claims that the reaction time in an individual’s dominant hand is less than the reaction time in their nondominant hand. assuming that the differences follow a normal distribution, test the claim at the 5% significance level.

minitab data:

student dominant hand non-dominant hand
1 0.177 0.179
2 0.21 0.202
3 0.186 0.208
4 0.189 0.184
5 0.198 0.215
6 0.194 0.193.
7 0.16 0.194
8 0.163 0.16
9 0.166 0.209
10 0.152 0.164
11 0.19 0.21
12 0.172 0.197