The time spent watching television of 121 women between the ages of 55 and 64 ha

Question

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.

Explanation / Answer

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

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