Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 13: Q.13.33 (page 542)

We stated earlier that a one-way ANOVA test is always right-tailed because the null hypothesis is rejected only when the test statistic, F, is too large. Why is the null hypothesis rejected only when F is too large?

Short Answer

Expert verified

Rejection of the null hypothesis.

Step by step solution

01

Given Information

Consider the fact that the ANOVA test is always right-tailed.

02

Explanation

The ratio of the mean squares F test is based on.

When F is excessively large, it suggests there is a lot of variation between the sample means compared to the variety within the samples.

This implies that at least one of the population means is different, implying that the alternative hypothesis is correct. The null hypothesis was then dismissed.

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

An F-curve has df =(12,7). What is the number of degrees of freedom for the

a. numerator?

b. denominator?

Following are the notations for the three sums of squares. State the name of each sum of squares and the source of variation each sum of squares represents.

a. SSE

b. SSTR

c. SST

Magazine Ads. Advertising researchers F. Shuptrine and D. McVicker wanted to determine whether there were significant differences in the readability of magazine advertisements. Thirty magazines were classified based on their educational level-high, mid, or low - and then three magazines were randomly selected from each level. From each magazine, six advertisements were randomly chosen and examined for readability. In this particular case, readability was characterized by the numbers of words, sentences, and words of three syllables or more in each ad. The researchers published their findings in the paper "Readability Levels of Magazine Ads" (Journal of Advertising Research, Vol. 21. No. 5, pp. 45-51). The number of words of three syllables or more in each ad are provided on the WeissStats site.

Sample 1Sample 2Sample 31104941681062

we provide data from independent simple random samples from several populations. In each case,

a. compute SST, SSTR, and SSE by using the computing formulas given in Formula 13.l on page 535

b. compare your results in part (a) for SSTR and SSE with those you obtained in Exercises 13.24-13.29, where you employed the defining formulas.

c. construct a one-way ANOVA table.

d. decide, at the5%significance level, whether the data provide sufficient evidence to conclude that the means of the populations from which the samples were drawn are not all the same.

We have provided data from independent simple random samples from several populations. In each case, determine the following items.

a. SSTR

b. MSTR

c. SSE

d. MSE

e. F

Sample 1 Sample 2 Sample 3
5 10 4
9 4 16

 8 10

 6

 2
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

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.

Sign-up for free