Question

Researchers want to determine whether drinking a cup of green tea affects the number of pages teenagers read in 30 minutes. A group of 20 teenagers was randomly assigned to one of two groups. Group A drank green tea before reading, while Group B did not. Each participant read the same book for 30 minutes, and the number of pages read was recorded. The data is shown below. (1 point) The difference in means between Group A and Group B is , when rounded to the nearest tenth.

Answer 1

To calculate the difference in means between Group A (those who drank green tea) and Group B (those who did not), you'll first need to find the average number of pages read by each group. Here’s a step-by-step outline of how to do this:

1. **Gather the Data**: You would typically have the number of pages read by each teenager in both groups.

2. **Calculate the Mean for Each Group**:
- For Group A (Green Tea), sum the number of pages read by each participant and divide by the number of participants in Group A.
- For Group B (No Green Tea), do the same.

3. **Compute the Difference in Means**:
- Subtract the mean of Group B from the mean of Group A:
\[
\text{Difference} = \text{Mean of Group A} - \text{Mean of Group B}
\]

4. **Round the Difference**: Finally, round the difference to the nearest tenth.

### Example Calculation (Hypothetical Data)

If we hypothetically say:
- Group A's (Green Tea) pages read: 10, 12, 15, 9, 11 (Mean = (10 + 12 + 15 + 9 + 11) / 5 = 11.4)
- Group B's (No Green Tea) pages read: 8, 7, 10, 6, 9 (Mean = (8 + 7 + 10 + 6 + 9) / 5 = 8.0)

Calculating the difference:
- Difference = 11.4 - 8.0 = 3.4

So, in this hypothetical scenario, the difference in means between Group A and Group B would be **3.4**.

Please provide the actual data to compute the precise answer for your scenario.