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Statistics / Elementary Statistics 12 / Chapter 6.6 / Problem 18BSC

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

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Solved: Constructing Normal Quantité Plots. In Exercises,

Chapter 6, Problem 18BSC

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QUESTION:

Constructing Normal Quantile Plots. In Exercises 17−20, 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.

Taxi Out Times A sample of flights is selected, and the times (minutes) required to taxi out for takeoff are 37, 13, 14, 15, 31, 15 (from Data Set 15 in Appendix B).

Questions & Answers

QUESTION:

Constructing Normal Quantile Plots. In Exercises 17−20, 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.

Taxi Out Times A sample of flights is selected, and the times (minutes) required to taxi out for takeoff are 37, 13, 14, 15, 31, 15 (from Data Set 15 in Appendix B).

ANSWER:

Answer :

Step 1 of 1 :

Given Taxi Out Times A sample of flights is selected, and the times (minutes) required to taxi out for takeoff are 37, 13, 14, 15, 31, 15

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

13,14,15,15,31,37

x-values

13

14

15

15

31

37

Here n=6

Then we have to identify the cumulative areas to the left of the corresponding values.

$\frac{1}{2n}$	$\frac{1}{2(6)}$	$\frac{1}{12}=0.0833\$
$\frac{3}{2n}$	$\frac{3}{2(6)}$	$\frac{3}{12}=0.25$
$\frac{5}{2n}$	$\frac{5}{2(6)}$	$\frac{5}{12}=0.4167$
$\frac{7}{2n}$

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