Solve the following problem:
Q: In manufacturing, does worker productivity drop on Friday? In an effort to determine whether it does, a company's personnel analyst randomly selects from a manufacturing plant five workers who make the same part. He measures their output on Wednesday and again on Friday and obtains the following results.
Worker Wednesdayoutpt Fridayoutput
1 71 53
2 56 47
3 75 52
4 68 55
5 74 58
The analyst α=0.5 uses and assumes the difference in productivity is normally distributed. Do the samples provide enough evidence to show that productivity drops on Friday?