Question

1. (15 pts total) Fourteen students participated in a research study on the effect of sleep deprivation in a motor skill task. The students played the game "Operation" either after a full night of sleep or after being kept awake for 36 hours. Each task was measured two weeks apart. Half of the students were randomly assigned to sleep deprivation in the first week and a full night of sleep in the second week, and the other half completed the two conditions in the reverse order. Below are the numbers of errors that each student committed. Does sleep deprivation increase the number of errors? Sleep Normal Deprived (X2) 18 10 12 (X) 12 6 Subject 2 3 7 4 13 5 16 10 6 13 10 7 10 11 8 8 12 11 12 10 11 8 8 12 9 10 13 8 8 14 122 8.71 1.73 SUM MEAN St. Dev 157 11.21 2.61 LOlo

Answer 1

Answer:

Let, u population average errors of Normal students. uz - population average emors of sleep Deprived students. we want to test does sleep deprivertion increase the number of emors. that is whether M274 which is same as to test 4 <42 a Hoil, = 42 Haili <42 c) since find Ho is one sided we have to only one critical value. df = = nith2-2 14+14-2 0.05 let a=0.os to.o5126 = -1.7056 d) test statistic t = 71-72

incorrect. liven values of std.dev are Correct values are, Si= 2.20 52= 3.07 then Sp = √ (11-1) s ²+(12-1) s ro nith2-2 (13x12,20) ²+ 13x(3.0732 26 185, 4437 V 26 N 7.13245 sp = 2,6707 t = 8.71- 11.2) 2.6707/atta -2.9 2.6707 X 0.3779 -2.5 1.0092 (t = -2.4772)

t Ltc that is test statistic falls in critical region. & Reject Hon orint conclusson sleep deprivation increase the number of emors.