A sample of difference scores from a repeated-measures experiment has a mean of MD = 4 with a standard deviation...

A sample of difference scores from a repeated-measures experiment has a mean of M_D = 4 with a standard deviation of s = 6.

1. If n = 4, is this sample sufficient to reject the null hypothesis using a two-tailed test with α = .05?

2. Would you reject H₀ if n = 16? Again, assume a two-tailed test with α = .05.

3. Explain how the size of the sample influences the likelihood of finding a significant mean difference.