The following data were obtained from a research study examining the effect of sleep deprivation on motor-skills performance. A sample of n = 5 participants was tested on a motor-skills task after 24 hours of sleep deprivation, tested again after 36 hours and tested once more after 48 hours. The dependent variable is the amount of errors made on the motor-skills task. Do these data in the indicate number of hours of sleep deprivation has a significant effect on motor skills performance?PARTIIPANT24 hours36 hours48 hoursPARTICIPANT TOTAL (P) A0066 B1359 C0156ND45918G (ΣT)E0156ΣX2 T = 5T = 10T = 30 SS = 12SS = 16SS = 12 Use a repeated-measures ANOVA with α = 0.05 to determine whether there are significant mean differences among the three treatments.Compute η2, the percentage of variance accounted for by the mean differences, to measure the size of the effects.Write sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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The following data were obtained from a research study examining the effect of sleep deprivation on motor-skills performance. A sample of n = 5 participants was tested on a motor-skills task after 24 hours of sleep deprivation, tested again after 36 hours and tested once more after 48 hours. The dependent variable is the amount of errors made on the motor-skills task. Do these data in the indicate number of hours of sleep deprivation has a significant effect on motor skills performance?

PARTIIPANT	24 hours	36 hours	48 hours	PARTICIPANT TOTAL (P)
A	0	0	6	6
B	1	3	5	9
C	0	1	5	6	N
D	4	5	9	18	G (ΣT)
E	0	1	5	6	ΣX2
	T = 5	T = 10	T = 30
	SS = 12	SS = 16	SS = 12

Use a repeated-measures ANOVA with α = 0.05 to determine whether there are significant mean differences among the three treatments.
Compute η², the percentage of variance accounted for by the mean differences, to measure the size of the effects.
Write sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.

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