Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q. 3.126 (page 123)

The data set has size60. Approximately how many observations lie within three standard deviations to either side of the mean?

Short Answer

Expert verified

The observations that lie within three standard deviations to either side of the mean approximately are59.82

Step by step solution

01

Given information

We are given that data set has size60.

02

Explanation

Here we will use Empirical Rule , for normally distributed random variable, 99.7%of the measures are within two standard deviation of the mean.

We are given the size of data set to be60 , as here distributions are normal ,

So we get ,0.997×60=59.82

Approximately,59.82 observation lie within two standard deviations of the mean.

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

Identify an advantage that the median and interquartile range have over the mean and standard deviation, respectively.

We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

a) Mean

b)Median

c) Mode.

The given data set is1,2,4,4.

The data set has mean 10 and standard deviation3 . Fill in the following blanks:
a. Approximately 68% of the observations lie between_ and _
b. Approximately95% of the observations lie between_ and _
c. Approximately99.7% of the observations lie between _and _

What does Chebyshev's rule say about the percentage of observations that lie within one standard deviation to either side of the mean? Discuss your answer.

Copperhead and Tiger Snakes. S. Fearn et al. compare two types of snakes in the article “Body Size and Trophic Divergence of Two Large Sympatric Elapic Snakes in Tasmania” (Australian Journal of Zoology, Vol. 60, No. 3, pp. 159-165). Tiger snakes and lowland copperheads are both large snakes confined to the cooler parts of Tasmania. The weights of the male lowland copperhead in Tasmania have a mean of 812.07 g and a standard deviation of 330.24 g; the weights of the male tiger snake in Tasmania have a mean of 743.65 g and a standard deviation of 336.36 g.
a. Determine the z-scores for both a male lowland copperhead snake and a male tiger snake whose weights are 850 g.
b. Under what conditions would it be reasonable to use z-scores to compare the relative standings of the weights of the two snakes?
c. Assuming that a comparison using z-scores is legitimate, relative to the other snakes of its type, which snake is heavier?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Mechanics Maths

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