/*! 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. 1.18 The manager of the store in the ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 1.18 (page 295)

The manager of the store in the preceding exercise calculated the residual for each point

In the scatterplot and made a dot plot of the residuals. The distribution of residuals is

roughly Normal with a mean of \(0and standard deviation of \)22.92.

a. What percent of the actual sales amounts do you expect to be within $5of their

expected sales amount?

b. The middle 95%of residuals should be between which two values? Use this

information to give an interval of plausible values for the weekly sales revenue if5

linear feet are allocated to the store鈥檚 brand of men鈥檚 grooming products.

Short Answer

Expert verified

(a) Actual sales amount is 17.42%.

(b) Residual is between 卤44.9232and sales between1036.4168-1126.2632

Step by step solution

01

Part (a) Step 1: Given Information

We need to find the percentage of actual sales amount .

02

Part (a) Step 2: Explanation

We are given that:

Mean(渭)=0Standarddeviation(蟽)=22.92x=-5to5

The value of z score is:

z=x-渭蟽=-5-022.92=-0.22z=x-渭蟽=5-022.92=0.22

Now ,

P(-5<x<5)=P(-0.22<z<0.22)P(-5<x<5)=-P(z<-0.22)+P(z<0.22)P(-5<x<5)=0.5871-0.4829P(-5<x<5)=0.1742P(-5<x<5)=17.42%

03

Part (b) Step 1: Given Information

We need to find the residuals and sales.

04

Part (b) Step 2: Explanation

We are given that;

渭=0蟽=22.92middleof95%=(100%-95%)/2=2.5%z=卤1.96andweknowthat,z=x-渭蟽卤1.96=x-5.322.92x=卤44.9232

Now for sales:

x=5y=317.940+152.680脳5y=1081.340weknowthat,y=residual+y^y=卤44.9232+1081.340y=1036.4168y=1126.2632

Hence residual between -$44.9232to$44.9232

And sales between $1036.4168to1126.2632

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

Do you trust the Internet? You want to ask a sample of high school students the question 鈥淗ow much do you trust information about health that you find on the Internet鈥攁 great deal, somewhat, not much, or not at all?鈥� You try out this and other questions on a pilot group of 5students chosen from your class.

a. Explain how you would use a line of Table D to choose an SRS of 5students from the following list.

b. Use line 107to select the sample. Show how you use each of the digits.

Corn variety 1yielded 140bushels per acre last year at a research farm. This year, corn

variety 2, planted in the same location, yielded only 110bushels per acre. Based on these

results, is it reasonable to conclude that corn variety 1is more productive than corn variety

2?

a. Yes, because 140bushels per acre is greater than 110bushels per acre.

b. Yes, because the study was done at a research farm.

c. No, because there may be other differences between the two years besides the corn

variety.

d. No, because there was no use of a placebo in the experiment.

e. No, because the experiment wasn鈥檛 double-blind.

A local news agency conducted a survey about unemployment by randomly dialing phone

numbers during the work day until it gathered responses from 1000 adults in its state. In

the survey, 19% of those who responded said they were not currently employed. In reality,

only 6% of the adults in the state were not currently employed at the time of the survey.

Which of the following best explains the difference in the two percentages?

a. The difference is due to sampling variability. We shouldn鈥檛 expect the results of a

random sample to match the truth about the population every time.

b. The difference is due to response bias. Adults who are employed are likely to lie and

say that they are unemployed.

c. The difference is due to undercoverage bias. The survey included only adults and did

not include teenagers who are eligible to work.

d. The difference is due to nonresponse bias. Adults who are employed are less likely to

be available for the sample than adults who are unemployed.

e. The difference is due to voluntary response. Adults are able to volunteer as a member

of the sample.

Football on TVA Gallup poll conducted telephone interviews with a random sample of 1000adults aged 18and older. Of these, 37%said that football was their favorite sport to watch on television. The margin of error for this estimate is 3.1percentage points.

a. Would you be surprised if a census revealed that 50%of adults in the population would say their favorite sport to watch on TV is football? Explain your answer.

b. Explain how Gallup could decrease the margin of error

A TV station wishes to obtain information on the TV viewing habits in its market area.

The market area contains one city of population 170,000, another city of70,000, and

four towns of about 5000residents each. The station suspects that the viewing habits

may be different in larger and smaller cities and in the rural areas. Which of the

following sampling designs would yield the type of information the station requires?

a. A stratified sample from the cities and towns in the market area

b. A cluster sample using the cities and towns as clusters

c. A convenience sample from the market area

d. A simple random sample from the market area

e. An online poll that invites all people from the cities and towns in the market area to

participate.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Applied 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.