Data indicates that adolescent girls tend to experience a drop in self-esteem. To evaluate this result, a researcher obtains a sample of N = 16 adolescent girls, all 13 years old. A self-esteem measure is administered to each participant and the average score for the sample is X = 68 withSS = 3840. It is known that the mean self-esteem score for the population of pre-teen girls is 75.

For this sample, the standard deviation is and the standard error is .