The time spent watching television of 121 women between the
The time spent watching television of 121 women between the ages of 55 and 64 had a standard deviation of 42 minutes. The time spent watching television of a random sample of 121 women between the ages of 15 and 34 had a standard deviation of 56 minutes. Test the hypothesis that the older women are from a population with a cariance less than that for women in the younger group. A= .05 assume samples were randomly selected from normal populations.
The time spent watching television of 121 women between the ages of 55 and 64 had a standard deviation of 42 minutes. The time spent watching television of a random sample of 121 women between the ages of 15 and 34 had a standard deviation of 56 minutes. Test the hypothesis that the older women are from a population with a cariance less than that for women in the younger group. A= .05 assume samples were randomly selected from normal populations.
Solution
Variance for time spent watching telelvision by 121 women between the ages of 55 and 64 = 42 m
Or s12 = 42 m.
while for 15 to 34 is s22= 56
H0: var i = var ii
Ha: var1<var2
Left tailed hypothesis test for variances.
Test statistic = s1^2/s2^2 = 42/56 = 0.75
p value for left tailed t test = .227361.
The result is not significant at p < .05.
Hence accept null hypothesis and reject the claim that the older women are from a population with a variance less than that for women in the younger group. A= .05 assume samples were randomly selected from normal populations
