# Compute the mean

1) A test has the following properties: mean = 100, S.D. = 15, and r = .74. An individual has obtained a score of 85 on this test. Compute his or her SEM (standard error of measurement) and determine the scores that would be needed to develop a 95% confidence interval for this specific individual.

2) For the data listed below compute the mean, median, mode, S.D., Z scores for the scores 4 & 7, and t-scores for 1 & 3.

Raw scores 5, 4, 3, 7, 1, 3

Â© BrainMass Inc. brainmass.com October 6, 2022, 9:37 am ad1c9bdddfhttps://brainmass.com/statistics/quantative-analysis-of-data/compute-mean-statistics-5187

#### Solution Preview

1. M=100, SD=15, r=0.74

SEM=SD*SQRT(1-r)=15*SQRT(1-0.74)=7.65

we are adopting the normal distribution for our theoretical distribution of error, and the formula of the confidence interval is:

X + -z(0.975)*SEM

Where z(0.975)=1.96, because this is a two-tailed ...

#### Solution Summary

The solution addresses the following

1) A test has the following properties: mean = 100, S.D. = 15, and r = .74. An individual has obtained a score of 85 on this test. Compute his or her SEM (standard error of measurement) and determine the scores that would be needed to develop a 95% confidence interval for this specific individual.

2) For the data listed below compute the mean, median, mode, S.D., Z scores for the scores 4 & 7, and t-scores for 1 & 3.

Raw scores 5, 4, 3, 7, 1, 3