Question

Suppose that Nintendo would like to test the hypothesis that a difference exists in the average age of users of a Wii, a PlayStation or an Xbox console game. The following data represent the age of a random sample of Wii, PlayStation, and Xbox users Wii 37 31 47 29 36 PlayStation Xbox 26 21 24 24 25 31 20 38 31 30 What is the sum of squares between for these observations? ? A. 360.0 O B. 456.8 OC. 509.1 ? D. 575.3

2. What is the sum of squares within for these? observations?

A. 376.0

B. 575.0

C. 509.1

D. 262.9

3. Using alpha equals ?0.05, what is the conclusion for this hypothesis? test?

A. Since the test statistic is more than the critical? value, we can conclude that there is a difference in the average age of users of a? Wii, a? PlayStation, or an Xbox console game.

B.Since the test statistic is less than the critical? value, we can conclude that there is a difference in the average age of users of a? Wii, a? PlayStation, or an Xbox console game.

C.Since the test statistic is more than the critical? value, we cannot conclude that there is a difference in the average age of users of a? Wii, a? PlayStation, or an Xbox console game.

D. Since the test statistic is less than the critical? value, we cannot conclude that there is a difference in the average age of users of a? Wii, a? PlayStation, or an Xbox console game.

Answer 1

from above: sum of square between =360 sum of square within =376 option A is correct A. Since the test statistic is more than the critical? value, we can conclude that there is a difference in the average age of users of a? Wii, a? PlayStation, or an Xbox console game.

from above:

1) sum of square between =360

2) sum of square within =376

3)option A is correct

A. Since the test statistic is more than the critical? value, we can conclude that there is a difference in the average age of users of a? Wii, a? PlayStation, or an Xbox console game.