Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Q. 6.56 (page 268)

Why is the standard normal curve sometimes referred to as the z-curve?

Short Answer

Expert verified

In the standard normal curve, a dummy variable z-has been used. So, it referred to as the z-curve.

Step by step solution

01

Concept Introduction

In conventional normal distributions, a normal curve is known as the normal random variable, such as a z-score.

The following equation can be used to convert any normal random variable Xinto azscore:

Z=(X-μ)σ

02

Explanation 

We refer to the zscores on the horizontal axis of the standard normal curve as zscores since the standard normal curve represents a normally distributed variable.

This shows that the z-curve is sometimes indicated as standard normal curve.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Explain the relationship between percentages for a normally distributed variable and areas under the corresponding normal curve.

18. Roughly speaking, what are the normal scores corresponding to a sample of observations?

Without consulting Table II, explain why the area under the standard normal curve that lies to the right of 0 is 0.5.

In the special report "Mousetrap: The Most-Visited Shoe and Apparel E-tailers" (Footwear News. Vol. 58. No. 3. p. 18), we found the following data on the average time, in minutes, spent per user per month from January to June of one year for a sample of 15 shoe and apparel retail Web sites.

a. Obtain a normal probability plot of the given data.

b. Use part (a)to identify any outliers.

c. Use part (a)to assess the normality of the variable under consideration.

Obtain the z-score that has an area of 0.95 to its right.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

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.

Sign-up for free