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# Solution: Constructing Normal Quantité Plots. In Exercises, ISBN: 9780321836960 18

## Solution for problem 20BSC Chapter 6.6

Elementary Statistics | 12th Edition

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Problem 20BSC

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.

M&M Weights A sample of weights (g) of M&Ms is obtained from those listed in Data Set 20: 0.864, 0.825, 0.855, 0.942, 0.825, 0.869, 0.912, 0.887, 0.886. Step-by-Step Solution:

Problem 20BSC

Step1 of 3:

We have A sample of weights (g) of M&Ms is obtained from those listed in Data Set 20: 0.864, 0.825, 0.855, 0.942, 0.825, 0.869, 0.912, 0.887, 0.886.

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

 0.825 0.825 0.855 0.864 0.869 0.886 0.887 0.912 0.942

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

##### ISBN: 9780321836960

This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. This full solution covers the following key subjects: normal, plot, data, identify, weights. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. Since the solution to 20BSC from 6.6 chapter was answered, more than 293 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 20BSC from chapter: 6.6 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. The answer to “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.M&M Weights A sample of weights (g) of M&Ms is obtained from those listed in Data Set 20: 0.864, 0.825, 0.855, 0.942, 0.825, 0.869, 0.912, 0.887, 0.886.” is broken down into a number of easy to follow steps, and 83 words.

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