Question

In one study the sample mean is 5 points from the hypothesized value. In a second study the sample mean is 15 points from the hypothesized value. The t-value in the second study:

1) will be the same size
2) will definitely be bigger
3) will definitely be smaller
4) may be smaller, larger, or the same size

Answer 1

The t-value in the second study may be smaller, larger, or the same size compared to the first study.The correct answer is option 4) may be smaller, larger, or the same size.

Step-by-step explanation:

The t-value in the second study may be smaller, larger, or the same size compared to the first study.

The t-value is calculated by taking the difference between the sample mean and the hypothesized value and dividing it by the standard error. Since the sample mean in the second study is 15 points away from the hypothesized value, it could result in a larger t-value than the first study, where the sample mean is only 5 points away.

Therefore, the correct answer is option 4) may be smaller, larger, or the same size.