Question

Find the test statistic F to test the claim that the populations have the same mean. Brand 1 n=8 x=3.0 s=0.50 Brand 2 n=8 x=2.6 s=0.60 Brand 3 n=8 x=2.6 s=0.55

Answer 1

The test statistic F to test the claim that the populations have the same mean is approximately 0.6944.

Step-by-step explanation:

To test the claim that the populations have the same mean, we need to calculate the test statistic F.

The formula for F is: F = (s1)^2 / (s2)^2

( where (s1)^2 and (s2)^2 are the sample variances of Brand 1 and Brand 2 respectively).

Substituting the given values:

Brand 1: n=8, x=3.0, s=0.50

Brand 2: n=8, x=2.6, s=0.60

Calculating the sample variances:

(s1)^2 = (0.50)^2

= 0.25

(s2)^2 = (0.60)^2

= 0.36

Substituting these values into the formula:

F = 0.25 / 0.36

= 0.6944

Therefore, the test statistic F to test the claim that the populations have the same mean is approximately 0.6944.