Question 9, 6.5.17-T Part 1 of 4 7 correct 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. \[ 32.0,38.7,44.8,40.3,34.1 \text { 무 } \] List the $z$ scores for the normal quantile plot. (Round to two decimal places as needed. Use ascending order.) Clear all Chack anewer

Step 1 ：Given the data values are 32.0, 38.7, 44.8, 40.3, 34.1.

Step 2 ：Calculate the mean of the data values. The mean is \(\frac{32.0 + 38.7 + 44.8 + 40.3 + 34.1}{5} = 37.98\).

Step 3 ：Calculate the standard deviation of the data values. The standard deviation is approximately 4.54.

Step 4 ：Calculate the z-scores for each data value using the formula \(z = \frac{X - \mu}{\sigma}\), where X is a data point, \(\mu\) is the mean and \(\sigma\) is the standard deviation.

Step 5 ：The z-scores for the data values are approximately -1.32, -0.85, 0.16, 0.51, 1.5.

Step 6 ：Sort the z-scores in ascending order.

Step 7 ：Final Answer: The z-scores for the normal quantile plot are \(\boxed{-1.32, -0.85, 0.16, 0.51, 1.5}\).