Question

Consider a sample with six observations of 13, 13, 7, 23, 20, and 20. Compute the z-score for each observation. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places. Negative values should be indicated by a minus sign.)

Answer 1

Solution:

Given: A sample with six observations is: 13, 13, 7, 23, 20, and 20.

We have to compute the z-score for each observation.

z score formula is:

where is population mean and is population standard deviation , both are unknown.

Thus we use their points estimates and s respectively.

thus z score formula is:

thus

x	x^2
13	169
13	169
7	49
23	529
20	400
20	400

Thus

and

thus we get:

x	Calculations:
13	=(13-16)/6	-0.50
13	=(13-16)/6	-0.50
7	=(7-16)/6	-1.50
23	=(23-16)/6	1.17
20	=(20-16)/6	0.67
20	=(20-16)/6	0.67