Question

Use the given data valuesâ (a sample of female arm circumferences inâ centimeters) to identify the corresponding z scores that are used for a normal quantileâ plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantileâ plot, then determine whether the data appear to be from a population with a normal distribution.40.334.831.838.244.2List the z scores for the normal quantile plot.â(Round to two decimal places as needed. Use ascendingâorder.)

Answer 1

The normal quantile plot is provided below.

Explanation:

The standardized normal scores are known as z-scores.

If there are n values in a data set then the area corresponding to these n values is given by:

`\text{Area}=(i-0.5)/(n)`

Here, i € {1, 2, ..., n}.

Arrange the data provided in ascending order.

S = { 31.8, 34.8, 38.2, 40.3, 44.2}

Consider the table for the z-scores.

To form the normal quantile plot, make a scatter plot with the z-scores on the y-axis and the values provided on the x-axis.

The normal quantile plot is provided below.