Question

Consider a sample with six observations of 5, 25, 9, 24, 18, and 15. Compute the z-score for each observation. (Leave no cells blank - be certain to enter "O" wherever required. Round your answers to 2 decimal places. Negative values should be indicated by a minus sign.) Answer is complete but not entirely correct. Sample observations - 5 25 Z-score 121.00 1.23 0.96 X 1.10 X 0.27 ® (0.14) X 24 18 15

Answer 1

Solution:

The sample size is n = 6. The provided sample data along with the data required to compute the sample mean X and sample variance s are shown in the table below: - — 225 1856 Sum = The sample mean X is computed as follows: s = $ *; = 96 = 16 Also, the sample variance s is 1 1 82 .n 2 X = = 64 n-12 21 nel Therefore, the sample sandartd deviation s is S= V = V64 = 8

Hence corresponding z scores are:

X1	Z- score
5	-1.375
25	1.125
9	-0.875
24	1
18	0.25
15	-0.125