Question

A random sample of 80 baby boys, show they weighed 3000 grams on average with a standard deviation of 100, at birth. While a random sample of 60 baby girls show they weighed 2800 grams on average with a standard deviation of 70. In order to test the hypothesis that if baby boys and girls weights have the same variance or not, what is the value of test statistic?

A) 2.041

B) 0.490

C) 0.7

D) 1.429

Answer 1

The correct option for test Statistic is,

A) 2.041.

explanation :

Here in this scenario to test weather the variance of two babies weight are equal we have to use F test for equality of two Variances.

Using the F test we get appropriate test Statistic as below,

For better understanding we performed the test at assuming level of significance is 0.05 as below,

The F critical value is calculated using F table.

Thank you.