Question

Do political science classes require the same amount of writing as history classes? The 48 randomly selected political science classes assigned an average of 14.9 pages of essay writing for the course. The standard deviation for these 48 classes was 5.4 pages. The 60 randomly selected history classes assigned an average of 11.8 pages of essay writing for the course. The standard deviation for these 60 classes was 5.7 pages. What can be concluded at the α=0.10 level of significance?

Answer 1

To determine if political science classes require the same amount of writing as history classes, conduct a hypothesis test using a two-sample t-test with unequal variances.

Step-by-step explanation:

To determine if political science classes require the same amount of writing as history classes, we will conduct a hypothesis test.

For the null hypothesis, we will assume that the average amount of writing in political science and history classes is the same.

For the alternative hypothesis, we will assume that the average amount of writing in political science and history classes is different.

Using a two-sample t-test with unequal variances, we compare the means and standard deviations of the two samples.

Based on the results, we can conclude whether the amounts of writing in political science and history classes are significantly different.