Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q.10 (page 460)

Suppose that you are a student aide in the library and agree to be paid according to the “random pay” system. Each week, the librarian flips a coin. If the coin comes up heads, your pay for the week is \(80. If it comes up tails, your pay for the week is \)40. You work for the library for 100 weeks. Suppose we choose an SRS of 2 weeks and calculate your average earnings x. The shape of the sampling distribution of xwill be

(a) Normal.

(b) approximately Normal

(c) right-skewed

(d) left-skewed.

(e) symmetric but not Normal.

Short Answer

Expert verified

The Correct answer is (e)

Step by step solution

01

Given Information

Payment for the week if the coin comes up heads=$80

Payment for the week if the coin comes up tails=$40

Number of weeks of work=100

Number of weeks for SRS = 2

02

Explanation

Given the number of the week for SRS is 2.

This means the average amount could be $40for two weeks,$80for two weeks, or $60( $40for one week and $80for the other week).

It is seen that getting $60is twice likely because on the first week $40can be obtained and $80on the second week or vice versa.

Thus, the distribution will be symmetric $60and it will also be normal.

Hence, the correct answer is (e).

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

The CLT applet Go to the textbook Web site (www whfreeman com/tp4e) and click on "Statistical Applets." Launch the Central limit Theorem applet. You should see a screen like the one shown here. Click and drag the slider to change the sample size, and watch how the density curve for the sampling distribution changes with it. Write a few sentences describing what in happening.

A large company is interested in improving the efficiency of its customer service and decides to examine the length of the business phone calls made to clients by its sales staff. A cumulative relative frequency graph is shown below from data collected over the past year. According to the graph, the shortest 80%of calls will take how long to complete?

(a) Less than10 minutes.
(b) At least10 minutes.
(c) Exactly10 minutes.
(d) At least5.5 minutes.
(e) Less than 5.5minutes.

According to the U.S. census, the proportion of adults in a certain county who owned their own home was 0.71. An SRS of 100adults in a certain section of the county found that65 owned their home. Which one
of the following represents the approximate probability of obtaining a sample of 100adults in which fewer than 65own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?

(a) 10065(0.71)65(0.29)35

(b) 10065(0.29)65(0.71)35
(c) Pz<0.65-0.71(0.71)(0.29)100

(d) Pz<0.65-0.71(0.65)(0.35)100
(e) Pz<0.65-0.71(0.71)(0.29)100

The five-number summary for a data set is given by Min=5, Q1=18, M=20, Q3=40, Max=75. If you wanted to construct a modified boxplot for the data set (that is, one that would show outliers, if any existed), what would be the maximum possible length of the right-side “whisker”? (a) 33(b)35(c) 45 (d) (e) 55

Imagine taking an SRS of 50M&M’S. Make a graph showing a possible distribution of the sample data. Give the value of the appropriate statistic for this sample.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Probability and Statistics

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.

Sign-up for free