1. (10 points) There is a population of scores with a mean of = 400 and a standard deviation of = 20. Imagine you select a sample of n = 81 scores from this population. a. What is the standard error of the mean for the distribution of sample means with n = 81? SHOW YOUR WORK. b. What is the z-score associated with a sample mean of M = 395 if the sample size is 81? SHOW YOUR WORK. c. What is the probability of a sample of n = 81 having a mean less than 395? d. If your sample size was 100 instead of 81, what effect would this have on each of these? The standard error of the mean (check one) Increase Decrease The z score location in the normal distribution (check one) Move it to the right and closer to "0" Move it to the right and farther from "0" Move it to the left and closer to "0" Move it to the left and farther from "0" The probability of a sample having a mean less than 395 (check one) Increase Decrease e. If the was 10 instead of 20, what effect would this have on the probability of a sample having a mean less than 395? (Check one) Increase Decrease