/*! 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. 2 T2.2. For the Normal distributio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 2 (page 138)

T2.2. For the Normal distribution shown, the standard deviation is closest to

(a) 0

(b) 1

(c) 2

(d) 4

(e) 5

Short Answer

Expert verified

Option (d) 4

Step by step solution

01

Concept Introduction (Part a)

Standard deviation describes how far values vary from the mean of the set, while a high standard deviation indicates a more wide-ranging variation. A low standard deviation indicates closeness to the mean, while a high standard deviation indicates the values are spread out over a larger range.

02

Explanation 

We observe that the normal distribution peak is at about 4. This means that the mean is at the peak of the normal distribution.

渭鈮�4

This distance from 渭=4to inflection point (where the curve appears approximately straight) is the standard deviation of the normal distribution.

Therefore, the standard deviation in this case is 4 (i.e.). In this case, the distance is about 4 and the standard deviation is approximately 4.

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

Run fast Peter is a star runner on the track team. In the league championship meet, Peter records a time that would fall at the 80th percentile of all his race times that season. But his performance places him at the 50th percentile in the league championship meet. Explain how this is possible. (Remember that lower times are better in this case!)

Suppose that you convert the class鈥檚 heights from inches to centimeters (1inch=2.54cm). Describe the effect this will have on the shape, center, and spread of the distribution.

Use Table A to 铿乶d the value zfrom the standard Normal distribution that satis铿乪s each of the following conditions. In each case, sketch a standard Normal curve with your value of zmarked on the axis. Use your calculator or the Normal Curve applet to check your answers.

Working backward

(a) The 10th percentile.

(b) 34% of all observations are greater thanz.

The distribution of heights of adult American men is approximately Normal with mean of 69inches and a standard deviation of 2.5inches. Draw a Normal curve on which this mean and standard deviation are correctly located. (Hint: Draw the curve first, locate the points where the curvature changes, and then mark the horizontal axis.

(a) What per cent of men are taller than 74inches?

(b) Between what heights do the middle 95%of men fall?

(c) What per cent of men are between 64and 66.5inches tall?

(d) A height of 71.5inches corresponds to what percentile of adult male American heights?

If30 is added to every observation in a data set, the only one of the following that is not changed is

(a) the mean. (d) the standard deviation.

(b) the 75th percentile. (e) the minimum.

(c) the median.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Statistics

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.