According to published reports, practice under fatiguedconditions distorts mechanisms that govern performance. Anexperiment was conducted using
15 college males, who were trained to make a continuous horizontalright-to-left arm movement from a microswitch to a barrier,knocking over the barrier coincident with the arrival of a clocksweephand to the 6 o’clock position. Theabsolute value of thedifference between the times, in milliseconds, that it took toknock over the barrier and the time for the sweephand to reach the6 o’clockposition (500 msec) was recorded. Each participantperformed the task five times under prefatigue and postfatigueconditions, and the sums of the absolute differences for the fiveperformances were recorded. The data can be found in the folder ofthis question.

1. a) (0.5 point) Read the data into R using read.csv function.Note: Show your codes but not the result/output.

2. b) (0.5 point) An increase in the mean absolute time differencewhen the task is performed under postfatigue conditions wouldsupport the claim that practice under fatigued conditions distortsmechanisms that govern performance. Assuming the populations to benormally distributed, write the two hypothesis of interest to testthis claim.

c) (1 point) Use a suitable test in R to test your hypothesis in(b). Show your codes, output and use α = 0.05.

d) (1 point) Interpret your finding in (c).

data:

Prefatigue,Postfatigue
159,92
93,60
66,216
99,227
34,224
90,92
149,93
59,178
143,135
118,117
75,154
67,220
110,144
58,165
86,101