/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q20 Constructing Normal Quantile Plo... [FREE SOLUTION] | 91影视

91影视

Constructing Normal Quantile Plots. In Exercises 17鈥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, and then determine whether the data appear to be from a population with a normal distribution.

McDonald鈥檚 Dinner Service Times A sample of drive-through service times (seconds) at McDonald鈥檚 during dinner hours, as listed in Data Set 25 鈥淔ast Food鈥 in Appendix B: 84, 121, 119, 146, 266, 181, 123, 152, 162.

Short Answer

Expert verified

The co-ordinates for the normal quartile plot:

Observed

Z-scores

84

-1.59

119

-0.97

121

-0.59

123

-0.28

146

0.00

152

0.28

162

0.59

181

0.97

266

1.59

The normal quantile plot for given sample is:

The sample of drive through service time at McDonalds during dinner time appears to be from normal population.

Step by step solution

01

Given information

The sample of drive through service times in seconds at McDonalds during dinner hours from data set 25 鈥淔ast Food鈥 in Appendix B.

02

Arrange the given data in increasing order

The given sample data in increasing order is:

84, 119, 121, 123, 146, 152, 162, 181, 266.

In the given data, the sample size is 9. Each value is the proportion of 19of the sample.

So, the cumulative left areas, can be expressed in general as 12n,32n,52n,andsoon.

For the given sample size,n=8 , the cumulative left areas, can be expressed as

118,318,518,718,918,1118,1318,1518and1718

03

Find the cumulative left areas

The cumulative left areas expressed in decimal form are 0.0555, 0.1667, 0.2778, 0.3889, 0.5000, 0.6111, 0.7222, 0.8333, and 0.9444.

Refer to the standard normal distribution table, the z-score values corresponding to 0.0555, 0.1667, 0.2778, 0.3889, 0.5000, 0.6111, 0.7222, 0.8333, and 0.9444 for left-tailed areas is equal to -1.59, -0.97, -0.59, -0.28, 0.00, 0.28, 0.59, 0.97, 1.59.

04

Express the sample values and z-score in (x, y) coordinate.

Pair thesample values ofdrive-through service times at McDonald鈥檚 during dinner hours with the corresponding z-score in the form of (x, y) as:

(84,-1.59), (119, -0.97), (121, -0.59), (123, -0.28), (146, 0), (152, 0.28), (162, 0.59), (181, 0.97), (266, 1.59)

05

Make a Normal Quantile Plot  

Steps to draw Normal quantile plot are as follows:

  1. Make horizontal axis and vertical axis.
  2. Mark the points 80, 100, 120 up to 280 on the horizontal axis and points -1.5, -1.0, -0.5, up to 1.
  3. Provide title to horizontal and vertical axis as 鈥淴 values鈥 and 鈥淶-score鈥 respectively.
  4. Mark the coordinates on the plot and obtain the normality plot as shown below.

06

Step 6:Conclude from Normal Quantile Plot

From the normal quantile plot, the point shows a symmetric pattern close to linearity. So, the sample of drive through service time at McDonalds during dinner hours appears to be from a normally distributed population.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Standard Normal DistributionIn Exercises 17鈥36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the probability of the given bone density test scores. If using technology instead of Table A-2, round answers

to four decimal places.

Greater than 0.25

Unbiased Estimators Data Set 4 鈥淏irths鈥 in Appendix B includes birth weights of 400 babies. If we compute the values of sample statistics from that sample, which of the following statistics are unbiased estimators of the corresponding population parameters: sample mean; sample median; sample range; sample variance; sample standard deviation; sample proportion?

Continuous Uniform Distribution. In Exercises 5鈥8, refer to the continuous uniform distribution depicted in Figure 6-2 and described in Example 1. Assume that a passenger is randomly selected, and find the probability that the waiting time is within the given range.

Between 2.5 minutes and 4.5 minutes

Standard Normal DistributionIn Exercises 17鈥36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the probability of the given bone density test scores. If using technology instead of Table A-2, round answers

to four decimal places.

Between -2.75 and -0.75.

Standard normal distribution, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, Draw a graph, then find the probability of the given bone density test score. If using technology instead of Table A-2, round answers to four decimal places.

Greater than -3.75

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.