/*! 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.71 About what percent of the cockro... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q.71 (page 135)

About what percent of the cockroaches have weights between 76 and 84 grams?

(a) 99.7%

(b) 95%

(c) 68%

(d) 47.5%

(e) 34%

Short Answer

Expert verified

The correct answer is (b)95%.

Step by step solution

01

Given Information

68-95-99.7 rule

Approximately 68% of the observations are within 1 standard deviation of the mean.

Approximately 95% of the observations are within 2 standard deviations of the mean.

Approximately 99.7% of the observations are within 3 standard deviations of the mean.

02

Explanation

Mean =80

Standard deviation =2

There is a 2standard deviation difference between 76and the mean.

(渭-2蟽=80-2(2)=80-4=76)

There is a 2standard deviation difference between 84and the mean.

(渭+2蟽=80+2(2)=80+4=84)

As a result of the 68-95-99.7 rule, approximately 95% of the data values fall within 2 standard deviations of the mean and thus approximately 95% of the cockroaches will be between 76 and 84 grams in weight.

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

Light it up! The graph below is a cumulative relative frequency graph showing the lifetimes (in hours) of 200 lamps.

(a) Estimate the 60th percentile of this distribution. Show your method.

(b) What is the percentile for a lamp that lasted 900 hours?

Length of pregnancies The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean of 266days and standard deviation of16days. For each part, follow the four-step process.

(a) At what percentile is a pregnancy that lasts days (that鈥檚 about 8months)?

(b) What percent of pregnancies last between 240and 270days (roughly between 8months and 9months)?

(c) How long do the longest 20% of pregnancies last?

About what proportion of observations lie between 7and 8?
Now suppose that you convert the class鈥檚 heights to z-scores. What would be the shape, center, and spread of this distribution? Explain.

T2.7. If the heights of American men follow a Normal distribution, and 99.7% have heights between 5'0'' and 7'0'', what is your estimate of the standard deviation of the height of American men?
(a) 1''
(b) 3''
(c) 4''
(d) 6''
(e) 12''
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure 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.