Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q. 14 (page 537)

In words, describe 1-βFor Exercise 9.12.

A sleeping bag is tested to withstand temperatures of-15°F. You think the bag cannot stand temperatures that low. State the Type I and Type II errors in complete sentences.

Short Answer

Expert verified

The probability that a sleeping bag will not be able to withstand temperatures-15°F is known as the power.

Step by step solution

01

Introduction

A type one error is defined as rejecting the null hypothesis ,when it is true.

A type two error is characterized as failing to reject the null hypothesis when it is wrong.

02

Explanation

Calculates the probability that a test will get the proper result for a valid alternative hypothesis that has been accepted.

When we adopt the alternative hypothesis, the power is the likelihood that a sleeping bag will not be able to withstand temperatures of -15°F

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

"Dalmatian Darnation," by Kathy Sparling

A greedy dog breeder named Spreckles

Bred puppies with numerous freckles

The Dalmatians he sought

Possessed spot upon spot

The more spots, he thought, the more shekels.

His competitors did not agree

That freckles would increase the fee.

They said, “Spots are quite nice

But they don't affect price;

One should breed for improved pedigree.”

The breeders decided to prove

This strategy was a wrong move.

Breeding only for spots

Would wreak havoc, they thought.

His theory they want to disprove.

They proposed a contest to Spreckles

Comparing dog prices to freckles.

In records they looked up

One hundred one pups:

Dalmatians that fetched the most shekels.

They asked Mr. Spreckles to name

An average spot count he'd claim

To bring in big bucks.

Said Spreckles, “Well, shucks,

It's for one hundred one that I aim.”

Said an amateur statistician

Who wanted to help with this mission.

“Twenty-one for the sample

Standard deviation's ample:

They examined one hundred and one

Dalmatians that fetched a good sum.

They counted each spot,

Mark, freckle and dot

And tallied up every one.

Instead of one hundred one spots

They averaged ninety six dots

Can they muzzle Spreckles’

Obsession with freckles

Based on all the dog data they've got?

In 1955, Life Magazine reported that the 25year-old mother of three worked, on average, an 80 hour week. Recently,

many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average

work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean

work week has increased. 81women were surveyed with the following results. The sample mean was83the sample

standard deviation was ten. Does it appear that the mean work week has increased for women at the role="math" localid="1650381098713" 5%level?

"Untitled," by Stephen Chen

I've often wondered how software is released and sold to the public. Ironically, I work for a company that sells products with

known problems. Unfortunately, most of the problems are difficult to create, which makes them difficult to fix. I usually

use the test program X, which tests the product, to try to create a specific problem. When the test program is run to make an

error occur, the likelihood of generating an error is 1%.

So, armed with this knowledge, I wrote a new test program Y that will generate the same error that test program X creates,

but more often. To find out if my test program is better than the original, so that I can convince the management that I'm

right, I ran my test program to find out how often I can generate the same error. When I ran my test program 50 times, I

generated the error twice. While this may not seem much better, I think that I can convince the management to use my test

program instead of the original test program. Am I right?

State the Type I and Type II errors in complete sentences given the following statements.

a. The mean number of years Americans work before retiring is 34.

b. At most 60% of Americans vote in presidential elections.

c. The mean starting salary for San Jose State University graduates is at least \(100,000 per year.

d. Twenty-nine percent of high school seniors get drunk each month.

e. Fewer than 5% of adults ride the bus to work in Los Angeles.

f. The mean number of cars a person owns in his or her lifetime is not more than ten.

g. About half of Americans prefer to live away from cities, given the choice.

h. Europeans have a mean paid vacation each year of six weeks.

i. The chance of developing breast cancer is under 11% for women.

j. Private universities mean tuition cost is more than \)20,000 per year.

You are testing that the mean speed of your cable Internet connection is more than three Megabits per second. State the null and alternative hypotheses.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied 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