/*! 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} Q3 A formal hypothesis test is to b... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q3 (page 371)

A formal hypothesis test is to be conducted using the claim that the mean height of men is equal to 174.1 cm.

a. What is the null hypothesis, and how is it denoted?

b. What is the alternative hypothesis, and how is it denoted?

c. What are the possible conclusions that can be made about the null hypothesis?

d. Is it possible to conclude that 鈥渢here is sufficient evidence to support the claim that the mean height of men is equal to 174.1 cm鈥�?

Short Answer

Expert verified

a. The null hypothesis states that the mean height of men is equal to 174.1 cm. It is denoted in the following manner:

H0:渭=174.1

b. The alternative hypothesis states that the mean height of the mean is not equal to 174.1 cm. It is denoted in the following manner:

H1:渭鈮�174.1

c. The two possible conclusions are as follows:

  • The null hypothesis is rejected; that is, the claim that the mean height of men is equal to 174.1 cm is rejected.
  • The null hypothesis is failed to reject; that is, the claim that the mean height of men is equal to 174.1 cm is failed to reject.

d. Since it is not possible to support/accept the claim made under the null hypothesis, it is not possible to conclude that 鈥渢here is sufficient evidence to support the claim that the mean height of men is equal to 174.1 cm.鈥�

Step by step solution

01

Given information

It is claimed that the mean height of men is equal to 174.1 cm.

02

Hypotheses

Let 渭denote the population mean height of men.

a.

Null hypothesis: The mean height of men is equal to 174.1 cm.

It is denoted in the following manner:

H0:渭=174.1


b.

Alternative hypothesis: The mean height of men is not equal to 174.1 cm.

H1:渭鈮�174.1

03

Conclusions about the null hypothesis

c.

Two possible conclusions can be made about the null hypothesis:

Rejection of the null hypothesis or rejection of the claim that the mean height of men is equal to 174.1 cm

Failure of rejection of the null hypothesis or failure of rejection of the claim that the mean height of men is equal to 174.1 cm

It should be noted that the claim made under the null hypothesis can never be supported or accepted.

d.

Since the claim made under the null hypothesis cannot be supported, it is not possible to conclude that 鈥渢here is sufficient evidence to support the claim that the mean height of men is equal to 174.1 cm.鈥�

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

Serving Time. According to the Bureau of Crime Statistics and Research of Australia, as reported on Lawlink, the mean length of imprisonment for motor-vehicle theft offenders in Australia is 16.7 months. One hundred randomly selected motor-vehicle-theft offenders in Sydney, Australia, had a mean length of imprisonment of 17.8 months. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle theft offenders in Sydney differs from the national mean in Australia? Assume that the population standard deviation of the lengths of imprisonment for motor-vehicle-theft offenders in Sydney is 6.0 months.

Critical Values. In Exercises 21鈥�24, refer to the information in the given exercise and do the following.

a. Find the critical value(s).

b. Using a significance level of = 0.05, should we reject H0or should we fail to reject H0?

Exercise 18
Fill in the following blanks.
a. Thet-test is..................... to moderate violations of the normality assumption.
b. The t-test can sometimes be unduly affected by outliers because the sample mean and sample standard deviation are not................................. to outliers.

Testing Claims About Variation. In Exercises 5鈥�16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population.

Spoken Words Couples were recruited for a study of how many words people speak in a day. A random sample of 56 males resulted in a mean of 16,576 words and a standard deviation of 7871 words. Use a 0.01 significance level to test the claim that males have a standard deviation that is greater than the standard deviation of 7460 words for females (based on Data Set 24 鈥淲ord Counts鈥�).

Testing Claims About Proportions. In Exercises 9鈥�32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section.

Eliquis The drug Eliquis (apixaban) is used to help prevent blood clots in certain patients. In clinical trials, among 5924 patients treated with Eliquis, 153 developed the adverse reaction of nausea (based on data from Bristol-Myers Squibb Co.). Use a 0.05 significance level to test the claim that 3% of Eliquis users develop nausea. Does nausea appear to be a problematic adverse reaction?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

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.