Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q.1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations (page 532)

According to the Web site sleepdeprivation.com, 85% of teens are getting less than

eight hours of sleep a night. Jannie wonders whether this result holds in her large high school. She asks an SRS of 100 students at the school how much sleep they get on a typical night. In all, 75 of the responders said less than 8 hours.

Short Answer

Expert verified

The boundary of interest is the true population proportion of students who are getting sleep less than 8hours.

Step by step solution

01

introduction

Teens are getting less than eight hours of sleep a night =85%

Out of 100students at the school, 75of the responders said less than8 hours of sleep.

02

explanation

From the above information, the null and alternative hypotheses are-

H0:p=0.85Ha:p≠0.85

The boundary of interest is the true population proportion of students who are getting sleep less than 8hours.

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

Is your food safe? Do you feel confident or not confident that the food available at most grocery stores is safe to eat? when a gallup poll asked this question, 87%of the sample said they were confident." Callup announced the poll's margin of error for 95%confidence as±3 percentage points. Which of the following sources of error are included in this margin of error? Explain.

(a) Gallup dialed landline telephone numbers at random and so missed all people without landline phones, including people whose only phone is a cell phone.

(b) Some people whose numbers were chosen never answered the phone in several calls or answered but refused to participate in the poll.

(c) There is chance variation in the random selection of telephone numbers.

Slow response times by paramedics, firefighters, and policemen can have serious consequences for accident victims. In the case of life-threatening injuries, victims generally need medical attention within 8 minutes of the accident. Several cities have begun to monitor emergency response times. In one such city, the mean response time to all accidents involving life-threatening injuries last year was M 6.7 minutes. Emergency personnel arrived within 8 minutes after 78% of all calls involving life-threatening injuries last year. The city manager shares this information and encourages these first responders to “do better.” At the end of the year, the city manager selects an SRS of 400 calls involving life-threatening injuries and examines the response times.

(a) State hypotheses for a significance test to determine whether the average response time has decreased. Be sure to define the parameter of interest.

(b) Describe a Type I error and a Type II error in this setting, and explain the consequences of each.

(c) Which is more serious in this setting: a Type I error or a Type II error? Justify your answer.

You are testing H0:μ=10against Hα:μ≠10based on an SRS of 15tobservations from a Normal population. What values of the statistic are statistically significant at theα=0.005level?

(a) t>3.326

(b) t>3.286

(c) t>2.977

(d) t<-3.326ort>3.326

(c)t<-3.286ort>3.286

Ancient air The composition of the earth’s atmosphere may have changed over time. To try to discover the nature of the atmosphere long ago, we can examine the gas in bubbles inside ancient amber. Amber is tree resin that has hardened and been trapped in rocks. The gas in bubbles within amber should be a sample of the atmosphere at the time the amber was formed. Measurements on 9specimens of amber from the late Cretaceous era (75to95 million years ago) give these percents of nitrogen:

63.465.064.463.354.864.560.849.151.0Explain why we should not carry out a one-sample t test in this setting.

In planning a study of the birth weights of babies whose mothers did not see a doctor

before delivery, a researcher states the hypotheses as

H0:x¯=1000gramsHa:x¯<1000grams
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Geometry

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