/*! 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 43. Sleep debt (3.2)A researcher rep... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q 43. (page 230)

Sleep debt (3.2)A researcher reported that the average teenager needs 9.3 hours of sleep per night but gets only 6.3hours.17By the end of a 5-day school week, a teenager would accumulate about 15 hours of 鈥渟leep debt.鈥� Students in a high school statistics class were skeptical, so they gathered data on the amount of sleep debt (in hours) accumulated over time (in days) by a random sample of 25high school students. The resulting least-squares regression equation for their data is Sleepdebt铃�=2.23+3.17(days). Do the students have reason to be skeptical of the research study鈥檚 reported results? Explain.

Short Answer

Expert verified

Yes, students have reason to be dubious of the findings of the research investigation.

Step by step solution

01

Given information

Number of high school students, n=25

The resulting least-squares regression equation for their data is,Sleepdebt=2.23+3.17(days)

02

Concept

A simple random sample (SRS) of size n is made up of n people chosen from the population with an equal chance of being the sample that is actually chosen.

03

Explanation

The following is the resultant least square regression line for the data supplied in the question:

sleepdebt铃�=2.23+3.17(days)S藛

Thus, we have to evaluate by replacing the days with

as: sleepdebt铃�=2.23+3.17(days)

=2.23+3.17(5)=18.08

As a result, the students have grounds to doubt the findings because their estimated sleep debt exceeds the study's sleep debt of 15 hours.

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

Explain it to the congresswoman You are on the staff of a member of Congress who is considering a bill that would provide government-sponsored insurance for nursing-home care. You report that 1128 letters have been received on the issue, of which 871 oppose the legislation. 鈥淚鈥檓 surprised that most of my constituents oppose the bill. I thought it would be quite popular,鈥� says the congresswoman. Are you convinced that a majority of the voters oppose the bill? How would you explain the statistical issue to the congresswoman?

Does eating dinner with their families improve students鈥� academic performance? According to an ABC News article, 鈥淭eenagers who eat with their families at least five times a week are more likely to get better grades in

school.鈥�19 This finding was based on a sample survey conducted by

researchers at Columbia University.

What are the explanatory and response variables?

Testosterone for older menAs men age, their testosterone levels gradually decrease. This may cause a reduction in lean body mass, an increase in fat, and other undesirable changes. Do testosterone supplements reverse some of these effects? A study in the Netherlands assigned 237men aged 60-80with low or low-normal testosterone levels to either a testosterone supplement or a placebo. The report in the Journal of the American Medical Association described the study as a 鈥渄ouble-blind, randomized, placebo-controlled trial.鈥�40 Explain each of these

terms to someone who knows no statistics.

Got deodorant? A group of students wants to perform an experiment to determine whether Brand A or Brand B deodorant lasts longer. One group member

suggests the following design: Recruit 40student volunteers鈥�20male and 20female. Separate by gender, since male and female bodies might respond

differently to deodorant. Give all the males Brand A deodorant and all the females Brand B. Have each student rate how well the deodorant is still working at the end of the school day on a 0 to 10 scale. Then compare ratings for the two treatments.

(a) Identify any flaws you see in the proposed design for this experiment.

(b) Describe how you would design the experiment. Explain how your design addresses each of the problems you identified in (a).

Headache relief Doctors identify 鈥渃hronic tension- type headaches鈥� as headaches that occur almost daily for at least six months. Can antidepressant medications or stress management training reduce the number and severity of these headaches? Are both together more effective than either alone? Investigators compared four treatments: antidepressant alone, placebo alone, antidepressant plus stress management, and placebo plus stress management. The headache sufferers named in the following table have agreed to participate in the study.

(a) Outline the design of the experiment. What is this type of design called?

(b) Explain how you would randomly assign the subjects to the four treatment groups. Then carry out your random assignment.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Decision Maths

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.