Question

Use the given data values (a sample of female arm circumferences in centimeters) to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution. 38.5, 44.5, 32.7, 40.3, 34.8 List the z scores for the normal quantile plot. Round to two decimal places as needed. Use ascending order)

Answer 1

Given Sample Data () :
38.5
,
44.5
,
32.7
,
40.3
,

Sum of all the data values Number of values (x) Sample Mean,x=



38.544.532.7+40.3+34.8 3

1 90.8-38.16

Saliple Mean.x_ 38.160

We compute the following:

	$x^2$
x= 190.8	(2.2) = 7366.92
38.5	1482.25
44.5	1980.25
32.7
40.3	1624.09
	1211.04

$\text{Sample Variance}, s^2 = \dfrac{1}{n-1}\Bigl(\sum (x^2) - \dfrac{(\sum x)^2}{n}\Bigr)$

5.Ĩ x (7366.92. (190.8)2 x 7366.92 - 21.498 5-1

Sample Variance,21.498

Sample Standard Deviation, s = Vs2= V/21.498 4.636594

Sample Standard Deviation, s - 4.63

Using all of these, we can calculate the z-scores.