Question

Determine which score corresponds to the higher relative position. 25) Which is better, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a Score of 688 on a test with a mean of 493 and a standard deviation of 150? Use the empirical rule to solve the problem. 26) The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have a systolic blood pressure between 96 mmHg and 144 mmHg? eiged Find the percentile for the data value. 27) Data set: 4 13 864 4 1364 13 2 13 15 5 9 4 12 8 6 13 data value: 6

Answer 1

25) for z score of first score =(x-mean)/standard deviation =(92-71)/15=1.4

z score of 2nd score =(x-mean)/standard deviation =(688-493)/150=1.3

as z score is higher for 92 , therefore this is better

26)

as 96 and 144 are 2 standard deviation from mean, therefore

5 of values between 96 and 144 =95%

27)

putting above values in ascending order:

x
2
4
4
4
4
4
5
6
6
6
8
8
9
12
13
13
13
13
13
15

percentile for 6 =(values below 6/total values)*100 =(7/20)*100 = 35th percentile