Question

Are the means for the final exams the same for all statistics class delivery types? The table below shows the scores on final exams from several randomly selected classes that used the different delivery types.

Online	Hybrid	Face-to-Face
72	84	80
83	73	79
76	85	85
81	82	80
82		86
		79
		81

Assume that all distributions are normal, the three population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.

A. Enter an exact number as an integer, fraction, or decimal.
df(num) =
B. Enter an exact number as an integer, fraction, or decimal.
df(denom) =
C. What is the test statistic? (Round your answer to two decimal places.)
D. What is the p-value? (Round your answer to four decimal places.)

F. What is the alpha? (Enter an exact number as an integer, fraction, or decimal.)

Answer 1

The statistical software output for this problem is:

From above output:

a) df(Num) = 2

b) df(Denom) = 13

c) Test statistic = 0.62

d) p - Value = 0.5549

e) Alpha = 0.05