An Industrial-Organizational (IO) psychologist got some data from a test they did on productivity. They collected productivity scores (1-100 points possible) from n=5 participants. The scores were: 78, 85,64, 90, 88.

a. Find the mean, sample variance, and standard deviation of this group.

b. What is the SEM for this particular sample?

c. Suppose the pop µ=76, what is the z score for the M of this sample? (hint: use SEM because it is about a sample mean)

d. What is the probability of getting this mean or higher if mu = 76? (draw the curve, calculate z, shade the area of interest and find the probability in the table and report it in decimals and as a percentage.