The 30 AP scores from the class have been entered into this activity. Randomly assign half of the students to get Form A and the other half to get Form B. What is the difference in mean scores for this random assignment?

To find the difference in mean scores for this random assignment, you first need to calculate the mean score for each group (Form A and Form B), and then find the difference between these two means.

Let's say the 30 AP scores are as follows:

AP Scores: {s1, s2, ..., s30}

Since there are 30 scores, and you want to randomly assign half of the students to Form A and the other half to Form B, you'll have 15 students in each group.

Let's denote:

Mean A as the mean score for Form A

Mean B as the mean score for Form B

You'll calculate these means using the scores from the respective groups.

Once you have both means, you find the difference:

Difference in mean scores : Mean A - Mean B

Here's how you'd do it:

1. Randomly select 15 scores to be assigned to Form A.

2. The remaining 15 scores are assigned to Form B.

3. Calculate the mean score for each group.

4. Find the difference between these means.

For example, if the mean score for Form A is 4.2 and the mean score for Form B is 4.6, then the difference in mean scores would be:

Difference in mean scores = 4.2 - 4.6 = -0.4 \]

So, in this example, the difference in mean scores for this random assignment would be -0.4.