2. An experiment was conducted to explore the effects of fatigue on the performance of a simple manual task. A random sample of 15 male, college students was obtained. We will assume that this sample forms a random sample from all of the male, college students that were available to the investigators. These students were trained to make a continuous horizontal right-to-left arm movement from a microswitch to a barrier, so that the barrier was knocked over at exactly the same time as the clock sweep second hand arrived at the 6 o'clock position. The absolute value of the difference between the time, in milliseconds, that it took to knock over the barrier and the time for the sweep second hand to reach the 6 o'clock position was recorded. Note that the student's goal is to make this time difference as close to zero as possible. Each participant performed the task five times under rested conditions (the student was not fatigued) and fatigued conditions (the student was fatigued). The sums of the abso- lute differences for the five performances were recorded, yielding a pair of absolute time difference sums, one for rested and one for fatigued, for each student. More formally, the three values for each student are: X1 conditions), X2 = "fatiguedtime" (time difference under fatigued conditions), and the dif- ference, D = X2 - X1, between these times (all these values are recorded in 500 msec units). Note that a positive value of D indicates that the student performed better under rested conditions than under fatigued conditions. "restedtime" (time difference under rested %3D Part 1: Some basics. a) Define the relevant theoretical population mean difference up for this situation. b) This experiment was conducted to assess the evidence that fatigue decreases the ability of a person to perform a physical activity such as the manual task these students performed. With this goal in mind, state what you believe to be an appropriate research hypothesis concerning up. Provide a clear and complete statement of this hypothesis in words in the context of this problem and explain why your hypothesis is appropriate. Note: The hypothesis for the test in the SAS program uses Ho = 0.

2. An experiment was conducted to explore the effects of fatigue on the performance of a simple manual task. A random sample of 15 male, college students was obtained. We will assume that this sample forms a random sample from all of the male, college students that were available to the investigators. These students were trained to make a continuous horizontal right-to-left arm movement from a microswitch to a barrier, so that the barrier was knocked over at exactly the same time as the clock sweep second hand arrived at the 6 o'clock position. The absolute value of the difference between the time, in milliseconds, that it took to knock over the barrier and the time for the sweep second hand to reach the 6 o'clock position was recorded. Note that the student's goal is to make this time difference as close to zero as possible. Each participant performed the task five times under rested conditions (the student was not fatigued) and fatigued conditions (the student was fatigued). The sums of the abso- lute differences for the five performances were recorded, yielding a pair of absolute time difference sums, one for rested and one for fatigued, for each student. More formally, the three values for each student are: X1 conditions), X2 = "fatiguedtime" (time difference under fatigued conditions), and the dif- ference, D = X2 - X1, between these times (all these values are recorded in 500 msec units). Note that a positive value of D indicates that the student performed better under rested conditions than under fatigued conditions. "restedtime" (time difference under rested %3D Part 1: Some basics. a) Define the relevant theoretical population mean difference up for this situation. b) This experiment was conducted to assess the evidence that fatigue decreases the ability of a person to perform a physical activity such as the manual task these students performed. With this goal in mind, state what you believe to be an appropriate research hypothesis concerning up. Provide a clear and complete statement of this hypothesis in words in the context of this problem and explain why your hypothesis is appropriate. Note: The hypothesis for the test in the SAS program uses Ho = 0.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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