Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 10: Q. 12 (page 668)

The correlation between the heights of fathers and the heights of their (grownup) sons isr=0.52 , both measured in inches. If fathers’ heights were measured in feet and sons’ heights were measured in furlongs (one furlong equals 7920 inches), the correlation between heights of fathers and heights of sons would be

(a) much smaller than 0.52.

(b) slightly smaller than 0.52.

(c) unchanged; equal to 0.52.

(d) slightly larger than 0.52.

(e) much larger than 0.52.

Short Answer

Expert verified

The answer is an option (c) unchanged; equal to 0.52

Step by step solution

01

Given Information

The correlation between the heights of fathers and the heights of their (grownup) sons is r=0.52, both measured in inches.

And, one furlong equals 7920 inches.

02

Explanation. 

The advantage of correlation is it's a unitless measure. If changing one of the unit measures (from feet to furlongs) resulted in a correlation change, then the value would be arbitrary since we have arbitrarily defined the units. Then, the correlation would never have any practical meaning.

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

To study the long-term effects of preschool programs for poor children, researchers designed an experiment. They recruited 123children who had never attended preschool from low-income families in Michigan. Researchers randomly assigned 62of the children to attend preschool (paid for by the study budget) and the other 61 to serve as a control group who would not go to preschool. One response variable of interest was the need for social services as adults. In the past 10years, 38children in the preschool group and 49in the control group have needed social services.

The Minitab output below gives a 95% confidence interval for p1-p2. Interpret this interval in context. Then explain what additional information the confidence interval provides.

Thirty-five people from a random sample of 125workers from Company A admitted to using sick leave when they weren’t really ill. Seventeen employees from a random sample of 68workers from Company B admitted that they had used sick leave when they weren’t ill. A 95% confidence interval for the difference in the proportions of workers at the two companies who would admit to using sick leave when they weren’t ill is

(a) 0.03±(0.28)(0.72)125+(0.25)(0.75)68

(b) localid="1650367573248" 0.03±1.96(0.28)(0.72)125+(0.25)(0.75)68

(c) 0.03±1.645(0.28)(0.72)125+(0.25)(0.75)68

(d)

0.03±1.96(0.269)(0.731)125+(0.269)(0.731)68

(e) 0.03±1.645(0.269)(0.731)125+(0.269)(0.731)68

A sample survey interviews SRSs of 500female college students and 550male college students. Each student is asked whether he or she worked for pay last summer. In all,410of the women and 484of the men say “Yes.” TakepMand localid="1650271716184" pFbe the proportions of all college males and females who worked last summer. We conjectured before seeing the data that men are more likely to work. The hypotheses to be tested are

(a) H0:pM-pf=0versus Ha;pM-pF≠0

(b) H0:pM-pF=0versusHa:pM-pF>0.

(c) H0:pM-pF=0versusHa:pM-pF<0

(d) H0:pM-pF>0versusHa:pM-pF=0

(e) H0:pM-pF≠0versusHa:pM-pF=0

Driving too fast How seriously do people view speeding in comparison with other annoying behaviors?

A large random sample of adults was asked to rate a number of behaviors on a scale of 1 (no problem at all) to 5(very severe problem). Do speeding drivers get a higher average rating than noisy neighbors?

A better drug? In a pilot study, a company's new cholesterol-reducing drug outperforms the currently available drug. If the data provide convincing

evidence that the mean cholesterol reduction with the new drug is more than 10 milligrams per deciliter of blood (mg/dl) greater than with the current drug, the company will begin the expensive process of mass-producing the new drug. For the 14 subjects who were assigned at random to the current drug, the mean cholesterol reduction was 54.1mg/dlwith a standard deviation of 11.93mg/dl.For the 15 subjects who were randomly assigned to the new drug, the mean cholesterol reduction was 68.7mg/dlwith a standard deviation of13.3mg/dl.Graphs of the data reveal no outliers or strong skewness.

(a) Carry out an appropriate significance test. What conclusion would you draw? (Note that the null hypothesis is notH0:μ1-μ2=0-

(b) Based on your conclusion in part (a), could you have made a Type I error or a Type Il error? Justify your answer.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

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