Two samples, each with n= 16 scores, produce an estimated standard error of 4 points and a t statistic = 2.00. What is the sample mean difference? O 4 O 16 8. O 2

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**Question:**

Two samples, each with \( n = 16 \) scores, produce an estimated standard error of 4 points and a \( t \) statistic of \( t = 2.00 \). What is the sample mean difference?

**Options:**

- ○ 4
- ○ 16
- ○ 8
- ○ 2

**Explanation:**

To find the sample mean difference, you can use the formula for the \( t \) statistic:

\[ t = \frac{\text{mean difference}}{\text{standard error}} \]

Given that the \( t \) statistic is 2.00 and the standard error is 4, you can solve for the mean difference as follows:

\[ 2.00 = \frac{\text{mean difference}}{4} \]

\[\text{Mean difference} = 2.00 \times 4 = 8\]

Therefore, the sample mean difference is 8.
Transcribed Image Text:**Question:** Two samples, each with \( n = 16 \) scores, produce an estimated standard error of 4 points and a \( t \) statistic of \( t = 2.00 \). What is the sample mean difference? **Options:** - ○ 4 - ○ 16 - ○ 8 - ○ 2 **Explanation:** To find the sample mean difference, you can use the formula for the \( t \) statistic: \[ t = \frac{\text{mean difference}}{\text{standard error}} \] Given that the \( t \) statistic is 2.00 and the standard error is 4, you can solve for the mean difference as follows: \[ 2.00 = \frac{\text{mean difference}}{4} \] \[\text{Mean difference} = 2.00 \times 4 = 8\] Therefore, the sample mean difference is 8.
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