/*! 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. 6.21 True or False:The mean of a norm... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

True or False:

The mean of a normal distribution has no effect on its spread. Explain your answer.

Short Answer

Expert verified

The mean of the normal distributionn is completely based on a standard deviation.

So the mean of the normal distribution has no effect in it. So the statement is true.

Step by step solution

01

Step 1. Given Information.

The statement:

"The mean of a normal distribution has no effect on its spread. "

02

Step 2. Reason.

The mean of the normal distributionn is completely based on a standard deviation.

So the mean of the normal distribution has no effect in it.

The graphs in the following states this fact:

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 91Ó°ÊÓ!

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

Determinez0.33

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

According to Table II, the area under the standard normal curve that lies to the left of0.43 is 0.6664. Without further consulting Table II, determine the area under the standard normal curve that lies to the right of 0.43. Explain your reasoning.

College-Math Success. Researchers S. Lesik and M. Mitchell explore the difficulty of predicting success in college-level mathematics in the article "The Investigation of Multiple Paths to Success in College-Level Mathematics" (fraternal of Applied Reacuwh in Hreher Eiturarion, Vol. 5. Issue 1. pP, 48-57). One of the variables explored as an indicator of success was the length of time since a college freshman has taken a mathematics course. The article reports that the mean length of time is 0.18 years with a standard deviation of 0.624 years. For college freshmen, let x represent the time, in years, since taking a math course.

A . What percentage of times are at least 0 years?

b. Assuming that x is approximately normally distributed, tose normal curve areas to determine the approximate percentage of times that are at least 0 years.

c. Based on your results from parts (a) and (b), do you think that the length of time since taking a math course for college freshmen is approximately a normally distributed variable? Explain your answer.

20. Sketch the normal curve having the parameters

a. μ=-1andσ=2

b. μ=3andσ=2

c. μ=-1andσ=0.5

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.