/*! 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.4 Men versus women The National As... [FREE SOLUTION] | 91影视

91影视

Find study content
Learning Materials

Discover learning materials by subject, university or textbook.

Explanations

Textbooks
All Subjects

Anthropology

Archaeology

Architecture

Art and Design

Bengali

Biology

Business Studies

Greek

Chemistry

Chinese

Combined Science

Computer Science

Economics

Engineering

English

English Literature

Environmental Science

French

Geography

German

History

Hospitality and Tourism

Human Geography

Italian

Japanese

Law

Macroeconomics

Marketing

Math

Media Studies

Medicine

Microeconomics

Music

Nursing

Nutrition and Food Science

Physics

Polish

Politics

Psychology

Religious Studies

Sociology

Spanish

Sports Sciences

Translation

All Subjects

Biology

Business Studies

Chemistry

Combined Science

Computer Science

Economics

English

Environmental Science

Geography

History

Math

Physics

Psychology

Sociology
Features
Features

Discover all of these amazing features with a free account.

Flashcards

91影视 AI

Notes

Study Plans

Study Sets
What鈥檚 new?

Flashcards
Study your flashcards with three learning modes.

Study Sets
All of your learning materials stored in one place.

Notes
Create and edit notes or documents.

Study Plans
Organise your studies and prepare for exams.
91影视
Discover

All the hacks around your studies and career - in one place.

Find a degree

Magazine
Featured

Magazine
Trusted advice for anyone who wants to ace their studies & career.

The largest student job board with the most exciting opportunities.

Verified student deals from top brands.

Discover our mobile app to take your studies anywhere.

Learning Materials

Features

Discover

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 10: Q.4 (page 662)

Men versus women The National Assessment of Educational Progress (NAEP) Young Adult Literacy Assessment Survey interviewed a random sample of $1917$ people $21$ to $25$ years old. The sample contained $840$ men and $1077$ women. $^{49}$ The mean and standard deviation of scores on the NAEP's test of quantitative skills were ${\overset{炉}{x}}_{1} = 272.40$ and $s_{1} = 59.2$ for the men in the sample. For the women, the results were ${\overset{炉}{x}}_{2} = 274.73$ and $s_{2} = 57.5$ . Is the difference between the mean scores for men and women significant at the $1 %$ level? Give appropriate statistical evidence to justify your answer.

Short Answer

Expert verified

No, there is not enough proof to help the claim that there is a difference.

Step by step solution

01

Given Information

${\overset{炉}{x}}_{1} = 272.40$

${\overset{炉}{x}}_{2} = 274.73$

$s_{1} = 59.2$

$s_{2} = 57.5$

$n_{1} = 840$

$n_{2} = 1077$

02

Explanation

The hypothesis

$H_{0} : 渭_{1} = 渭_{2}$

$H_{1} : 渭_{1} 鈮� 渭_{2}$

The test statistic:

$t = \frac{{\overset{炉}{x}}_{1} - {\overset{炉}{x}}_{2}}{\sqrt{\frac{s_{1}^{2}}{n_{1}} + \frac{s_{2}^{2}}{n_{1}}}}$

$= \frac{272.40 - 274.72}{\sqrt{\frac{59.22}{840}} + \frac{57.52}{1077}}$

$= - 0.866$

03

Explanation

The degrees of freedom:

$d f = \min (n_{1} - 1, n_{2} - 1)$

$= \min (840 - 1, 1077 - 1)$

$= 839 > 100$

The P-value is the probability of obtaining the value of the test statistic, or a value more extreme.

localid="1650369677218" $0.30 = 2 脳 0.15 < P < 2 脳 0.20$

$= 0.40$

localid="1650352701568" $0.30 < P < 0.40$

The P-value is the chance of getting the test statistic's result, or a number that is more severe.

$P > 0.01 = 1 % 鈬� Fail to reject H_{0}$

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

The distribution of grade point averages for a certain college is approximately Normal with a mean of $2.5$ and a standard deviation of $0.6$ . According to the $68 鈥� 95 鈥� 99.7$ rule, within which interval would we expect to find approximately $81.5 %$ of all GPAs for students at this college?

(a) $(0.7, 3.1)$

(b) $(1.3, 3.7)$

(c)role="math" localid="1650374007246" $(1.9, 3.7)$

(d) $(1.9, 4.2)$

(e) $(0.7, 4.2)$

A scatterplot and a least-squares regression line are shown in the figure below. If the labeled point $P (20, 24)$ is removed from the data set, which of the following statements is true ?

(a) The slope will decrease, and the correlation will decrease.

(b) The slope will decrease, and the correlation will increase.

(c) The slope will increase, and the correlation will increase.

(d) The slope will increase, and the correlation will decrease.

(e) No conclusion can be drawn since the other coordinates are unknown.

A sample survey interviews SRSs of $500$ female college students and $550$ male college students. Each student is asked whether he or she worked for pay last summer. In all, 410 of the women and 484 of the men say 鈥淵es.鈥� The pooled sample proportion who worked last summer is about

(a) ${\overset{铃�}{p}}_{C} = 1.70$

(b) ${\hat{p}}_{C} = 0.89$

(c) ${\hat{p}}_{C} = 0.88$

(d) ${\hat{p}}_{C} = 0.85$

(e) ${\hat{p}}_{C} = 0.82$

42. Long words Mary was interested in comparing the mean word length in articles from a medical journal and an airline鈥檚 in-flight magazine. She counted the number of letters in the first $200$ words of an article in
the medical journal and in the first $100$ words of an article in the airline magazine. Mary then used Minitab statistical software to produce the histograms shown.

How much more effective is exercise and drug treatment than drug treatment alone at reducing the rate of heart attacks among men aged $65$ and older? To find out, researchers perform a completely randomized experiment involving $1000$ healthy males in this age group. Half of the subjects are assigned to receive drug treatment only, while the other half are assigned to exercise regularly and to receive drug treatment. The most appropriate inference method for answering the original research question is

(a) one-sample z test for a proportion.

(b) two-sample z interval for $p_{1} - p_{2}$

(c) two-sample z test for $p_{1} - p_{2}$ .

(d) two-sample t interval for $渭_{1} - 渭_{2}$ .

(e) two-sample t-test for $渭_{1} - 渭_{2}$ .

See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Probability and 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.