PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME! And don't take my points if you don't have an answer. I need the answers quickly plz.

are there answer choices?

imma come back and add answer

Step-by-step explanation:

Problem 1: x = 129, Problem 2, x = 133

Step-by-step explanation:

Problem 1: x = (4-2)x180 - 71 -112 - 48     = 129

Problem 2: x = (6-2)x180 - 90 - 130 - 93 - 150 - 124      = 133

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.