/*! 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. 3.123 The data set has mean 30and stan... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 3.123 (page 123)

The data set has mean 30and standard deviation4 . Approximately what percentage of the observations lie between 22and 38?

Short Answer

Expert verified

The percentage of the observations lie between 22and 38 is95%.

Step by step solution

01

Given information

We are given that data set has mean 30and standard deviation4 .

02

Explanation

We will use empirical rule, to determine approximate values for the percentage of observations between 22and 38.

We are given that 渭=30and蟽=4 , where is mean and is standard deviation.

Also , the given interval 22,38will be formed by adding and subtracting standard deviations from the mean. We will check for different values of .

So using the value of mean and standard deviation , we get ,渭-k蟽,渭+k蟽=(22,38)鈬�k=2

By empirical rule , P渭-2蟽<X<渭+2蟽鈮�0.95where is given interval.

So percentage is95%

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

Name and describe the three most important measures of center.

Microwave Popcorn. For a given brand of microwave popcorn, what property is desirable for the population standard deviation of the cooking time? Explain your answer.

High School Completion. As reported by the US Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who have completed high school is provided on the Weiss Stats site.

Explain why minimum and maximum observations are added to the three quartiles to describe better the variation in a data set.

In Exercises 3.201-3.206, we have provided simple data sets for you to practice the basics of finding a

a. population mean

b. population standard deviation

3.2054,2,0,2,2
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

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.