Question

A researcher wants to know if the mean times (in minutes) that people watch their favorite news station are the same. Suppose that the table below shows the results of a study.

CNN	FOX	Local
45	16	72
13	43	37
18	68	56
38	50	60
23	31	51
35	22

Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05. (Let 1 = CNN, 2 = FOX, and 3 = Local.)

1) Enter an exact number as an integer, fraction, or decimal.

df(num) =

2) Enter an exact number as an integer, fraction, or decimal.

df(denom) =

3) What is the test statistic? (Round your answer to two decimal places.)

4) What is the p-value? (Round your answer to four decimal places.)

5) (i) Alpha (Enter an exact number as an integer, fraction, or decimal.)

Answer 1

The statistical software output for this problem is:

Hence,

1) df(num) = 2

2) df(denom) = 14

3) Test statistic = 4.12

4) P - value = 0.0391

5) Alpha = 0.05