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Answer: Constructing Normal Quantité Plots. In Exercises,

ISBN: 9780321836960 18

Solution for problem 19BSC Chapter 6.6

Elementary Statistics | 12th Edition

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Problem 19BSC

Constructing Normal Quantité Plots. In Exercises, use the given data values 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.

Brain Volumes A sample of human brain volumes (cm3) is obtained from those listed in Data Set 6: 1272, 1051, 1079, 1034, 1070, 1173, 1079, 1067.

Step-by-Step Solution:

Problem 19BSC

Step1 of 3:

We have A sample of human brain volumes (cm3) is obtained from those listed in Data Set 6: 1272, 1051, 1079, 1034, 1070, 1173, 1079, 1067.

Step2 of 3:

We need 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.

Step3 of 3:

The given data in Ascending order

 1034 1051 1067 1070 1079 1079 1173 1272

Manual Construction of a Normal Quantile Plot:

Step 1. First sort the data by arranging the values in order from lowest  to highest.

Step 2. With a sample of size n, each value represents a proportion of  1/n of the sample. Using the known sample size n, identify the areas  of 1/2n, 3/2n, 5/2n, 7/2n, and so on. These are the cumulative areas to  the left of the corresponding sample values.

Step 3. Use the standard normal distribution (Table A­2 or software or  a calculator) to find the z scores corresponding to the cumulative left  areas found in Step 2. (These are the z scores that are expected from  a normally distributed sample.)

Step 4 of 5

Step 5 of 5

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