Question

Question 1: A school is considering two videos for a class. Students have been randomly assigned to 2 groups, and they all take the same written test after watching the video. The scores are summarized below:

Video 1: sample mean = 77, sample standard deviation = 6.3, sample size = 29
Video 2: sample mean = 78, sample standard deviation = 6.8, sample size = 28

Conduct an analysis to determine whether there is a difference in the test scores for the two videos. Provide the test statistics value for the analysis.

Question 2: A school is considering two videos for a class. Students have been randomly assigned to 2 groups, and they all take the same written test after watching the video. The scores are summarized below:

Video 1: sample mean = 78, sample standard deviation = 7.5, sample size = 29
Video 2: sample mean = 79, sample standard deviation = 6.9, sample size = 28

Conduct an analysis to determine whether there is a difference in the test scores for the two videos. Provide the degrees of freedom.

Answer 1

Question 1:

We are given that

and

Null and alternate hypothesis:

  

Level of significance :

Test Statistic:

where is the pooled variance.

The criitical region is

Since the calculated value of t is not in rejection region, we fail to reject the null hypothesis and conclude that there is no difference in test scores for the two videos.

The test statistic value =-0.5762.

Question 2:

We are given that

Null and alternate hypothesis:

  

Level of significance :

Test Statistic:

where is the pooled variance.

The criitical region is

Since the calculated value of t is not in rejection region, we fail to reject the null hypothesis and conclude that there is no difference in test scores for the two videos.

The degrees of freedom=29+28-2=55