/*! 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} Q.6.119 How is a normal probability plot... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q.6.119 (page 283)

How is a normal probability plot used to detect outliers?

Short Answer

Expert verified

The outlier is seen in the usual probability plot.

Step by step solution

01

Given Information

Consider the "probability of normalcy plot."

A probability distribution about the mean, indicating that data near the mean occur more frequently than those further from it

02

Explanation

The normalcy probability plot is a graphical method for determining whether or not data is normally distributed. The line is constructed between observed variable values and normal scores. Outliers and odd values are detected using the probability plot.

Normal values are those that fall along the probability line.

Outliers are data values that exist outside the pattern (line) of the data.

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

Gibson Song Duration. A preliminary behavioral study of the Jingdong black gibbon, a primate endemic to the Wuliang Mountains in China, found that the mean song bout duration in the wet season is 12.59 minutes with a standard deviation of 5.31 minutes. [SOURCE: L. Shecran et al.. "Preliminary Report on the Behavior of the Jingdong Black Gibbon. Tropical Biodiversity, Vol, 5(2). Pp. 113-125] Assuming that song bout is normally distributed, determine the percentage of song bouts that have durations within

a. one standard deviation to either side of the mean.

b. two standard deviations to either side of the mean.

C. three standard deviations to either side of the mean.

Gestation Periods of Humans. mean of 266 days and a standard deviation of 16 days.

a. Use the technology of your choice to simulate four random samples of 50 human gestation periods each.

b. Obtain a normal probability plot of each sample in part (a).

c. Are the normal probability plots in part (b) what you expected? Explain your answer.

In the paper "Cloudiness: Note on a Novel Case of Frequency" (Procedings of the Royul Sociery of London, Vol. 62. pp.287-290), K. Pearson examined data on daily degree of cloudiness, on a scale of 0 to 10 , at Breslau (Wroclaw), Poland, during the decade 1876-1885. A frequency distribution of the data is presented in the following table.

a. Draw a frequency histogram of these degree-of-cloudiness data.

b. Based on your histogram, do you think that degree of cloudiness in Breslau during the decade in question is approximately normally distributed? Explain your answer.

13. What key fact permits you to determine percentages for a normally distributed variable by first converting to z-scores and then determining the corresponding area under the standard normal curve?

A variable is normally distributed with mean 6and standard deviation 2.

Part (a): Determine and interpret the quartiles of the variable.

Part (b) Obtain and interpret the 85thpercentile.

Part (c) Find the value that 65%of all possible values of the variable exceed.

Part (d) Find the two values that divide the area under the corresponding normal curve into a middle area of 0.95and two outside areas of 0.025. Interpret your answer.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation
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.