Question

Can you help me with this problem?

a) X= 45; 2- d) X=44; 2= b) X= 50; Z- c) X = 52.5; Z- e) X = 66; Z- f) X = 49.8; Z= 3.) Leslie, Tom, Ann, and Ron are comparing their scores on a recent statistics exam. They know the distribution of scores was normal with an average (mean) 79.86 and a standard deviation of 6.7. a.) What were their respective z-scores? Leslie = 100; Z= Ann = 63; Z= Tom = 77.5; Za Ron=89.4; Z= b.) Now plot their respective Z-scores on the normal distribution below. (In terms of z-scores, not raw scores)

Answer 1

3

a)

Given u = 79.86, o=6.7 Leslie Ann : X -μ 100 – 79.86 63 - 79.86 6.7 6.7 = 3.01 = -2.52 Tom: Ron: X- 89.4 – 79.86 6.7 77.5 - 79.86 6.7 = 1.42 = -0.35

b)

Leslie :0.998694 Probabišty Density z Score

Tom:0.363169 Probability Density z Score

Ann: 0.005868 Probability Density -2 z Score

Ron: 0.922196 Probability Density z Score