120 coffee drinkers were asked whether they use cream or sugar in their coffee. The summary was as follows:

55 use sugar
36 use cream
16 use both

Create a Venn diagram to summarize the information.

I'm confused on whether you just make it exactly like the data or do you subtract 16 from both cream and sugar? Like instead of 55 sugar, 36 cream, 16 both, it would be 39 sugar, 20 cream, 16 both but in the context of a Venn diagram.

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy

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.