/*! 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. 19 When people order books from a p... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 19 (page 463)

When people order books from a popular online source, they are shipped in standard-sized boxes. Suppose that the mean weight of the boxes is1.5pounds with a standard deviation of 0.3pounds, the mean weight of the packing material is 0.5pounds with a standard deviation of 0.1 pounds, and the mean weight of the books shipped is12 pounds with a
standard deviation of3 pounds. Assuming that the weights are independent, what is the standard deviation of the total weight of the boxes that are shipped from this source?
(a)1.84
(b) 2.60

(c) 3.02

(d) 3.40

(e)9.10

Short Answer

Expert verified

The standard deviation of the total weight of the boxes that are shipped from this source is 3.02. So, the option (c) is correct.

Step by step solution

01

Given information

Let, the mean weight of the boxes is 1.5pounds with a standard deviation of 0.3pounds, the mean weight of the packing material is 0.5pounds with a standard deviation of 0.1pounds, and the mean weight of the books shipped is 12pounds with a standard deviation of 3 pounds.

02

Explanation

The variance of three boxes could be determined by:

var(total)=var(A)+var(B)+var(C)A

The Standard deviation is need to square to get the variances.
var(total)=0.32+0.12+32=9.1=9.1

Now, the standard deviation could be calculated as follows:

Standard deviation =9.1

Then, take out the square root.

=3.02

Hence, the standard deviation of three boxes is 3.02.

So, the correct answer is option (c).

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

Scooping beads A statistics teacher fills a large container with 1000white and 3000red beads and then mixes the beads thoroughly. She then has her students take repeated SRSs of 50beads from the container. After many SRSs, the values of the sample proportion p藛 of red beads are approximated well by a Normal distribution with mean of 0.75and standard deviation of 0.06.

(a) What is the population? Describe the population distribution. (b) Describe the sampling distribution of p藛. How is it different from the population distribution?

On Tuesday, the bottles of Arizona Iced Tea filled in a plant were supposed to contain an average of 20ounces of iced tea. Quality control inspectors sampled50bottles at random from the day鈥檚 production. These bottles contained an average of 20ounces of iced tea.

For Exercises 1 to 4, identify the population, the parameter, the sample, and the statistic in each setting.

Gas prices How much do gasoline prices vary in a large city? To find out, a reporter records the price per gallon of regular unleaded gasoline at a random sample of 10gas stations in the city on the same day. The range (maximum-minimum) of the prices in the sample is 25cents

Here is a dot plot of the adult literacy rates in 177countries in 2008, according to the United Nations. For example, the lowest literacy rate was 23.6%, in the African country of Burkina Faso. Use the dot-plot below to answer the Question

The mean of this distribution (don鈥檛 try to find it) will be

(a) very close to the mode.

(b) greater than the median.

(c) less than the median.

(d) You can鈥檛 say, because the median is random.

(e) You can鈥檛 say, because the mean is random.

The candy machine Suppose a large candy machine has 15% orange candies. Use Figure 7.13 (page 435) to help answer the following questions.

(a) Would you be surprised if a sample of 25 candies from the machine contained 8 orange candies (that's 32%orange)? How about 5 orange candies (orange)? Explain.

(b) Which is more surprising: getting a sample of 25 candies in which localid="1649737645698" 32%are orange or getting a sample of 50 candies in which localid="1649737650189" 32%are orange? Explain.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Statistics

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.