Question

Two Sample Hypothesis Test

Show all five steps in your analysis. To get full credit you must label the CV (critical value) and TV (Test Value) in your drawing. Use the p-value for this test.

A teacher claims that students retain more when reading a novel than when watching a movie version of the novel. Each student read a novel and watched a film version of a different novel. Then they were given a test on both the novel and the movie. A researcher randomly selected a sample of 8 students. Using a one sample statistical test on their differences, test the results at an alpha level of .05. The results are shown in the table below:

Student	1	2	3	4	5	6	7	8
Book	92	80	88	75	82	90	84	76
Movie	86	72	80	80	75	75	80	72

What type of test are you going to perform? ______________________________

Answer 1

We are going to performed a paired t-test.

= (6 + 8 + 8 + (-5) + 7 + 15 + 4 + 4)/8 = 5.875

sd = sqrt(((6 - 5.875)^2 + (8 - 5.875)^2 + (8 - 5.875)^2 + (-5 - 5.875)^2 + (7 - 5.875)^2 + (15 - 5.875)^2 + (4 - 5.875)^2 + (4 - 5.875)^2)/7) = 5.592

The test statistic is

  

df = 8 - 1 = 7

P-value = P(T > 2.972)

= 1 - P(T < 2.972)

= 1 - 0.9896

= 0.0104

Since the P-value is less than the significance level (0.0104 < 0.05), so we should reject the null hypothesis.

At 0.05 significance level, there is sufficient evidence to support the claim that students retain more when reading a novel than when watching a movie version of the novel.