/*! 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} 13.8 An F-curve has df =(12,5). In e... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

An F-curve has df=(12,5). In each case, find the F-value having the specified area to its right.

a.0.01

b.0.05

c.0.005

Short Answer

Expert verified

(a) The required F-values

F0.01=9.89

(b) The required F-values

F0.05=4.68

(c) The required F-values

F0.005=13.38

Step by step solution

01

Part (a) Step 1: Given information

Given in the question that, An F-curve has role="math" localid="1652201689198" df=(12,5). We need to flnd the F-value having the area 0,01 to its right.

02

Part (a) Step 2: Explanation

Given

F-curves have df=(12,5)

The area to the right of width="50">=0.01F-value

The numerator's degrees of freedom =12

The denominator's degrees of freedom are =5 .

Statistical significance α=0.01

The F-value is calculated using Table VIII. Go to '5' in the dfd column. After that, concentrate on theαrow labelled 0.01. Cross that row to the '12' column, and the point earned will be 9.89.

Therefore,

F0.01=9.89

03

Part (b) Step 1: Given information

Given in the question that, An F-curve has df=(12,5). We need to flnd the F-value having the area 0,05to its right.

04

Part (b) Step 2: Explanation

Given,

F-curves havedf=(12,5)

The area to the right of 0.05F-value

The numerator's degrees of freedom are =12.

The denominator's degrees of freedom are =5. Signiflcance level α=0.05The F-value is calculated using Table VIII. Go to ' 5 :' in the dfd column. Next, pay attention to the 0.05row for α. Go across that row to the ' 12 ' column; the point earned will be 4.68.

Therefore,

F0.05=4.68

05

Part (c) Step 1: Given information

Given in the question that, An F-curve has df=(12,5). We need to flnd the F-value having the area role="math" localid="1652258244239" 0.005to its right.

06

Part (c) Step 2: Explanation

Given: df=(12,5)on an F-curve

The area to the right of =0.005F-value

The numerator's degrees of freedom are =12.

The denominator's degrees of freedom are=5.

Statistical significanceα=0.005

The F-value is calculated using Table VIII. Go to '5'in the dfd column. Next, concentrate on the 0.005column for α. The point acquired will be 13.38if you go across that row to the column labelled '12'.

Therefore,

$$

F_{0.05}=13.38

$$

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 91Ó°ÊÓ!

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

Losses to Robbery. The Federal Bureau of investigation conducts surveys to obtain information on the value of losses from various types of robberies. Results of the surveys are published in Population-at-Risk Rates and Selected Crime indicators, Independent simple random samples of reports for three types of robberies-highway, gas station, and convenience store gave the following data, in dollars, on the value of losses.

a. What does MSTR measure?

b. What does MSE measure?

c. Suppose that you want to perform a one-way ANOVA to compare the mean losses among the three types of robberies. What conditions are necessary? How crucial are those conditions?

Minke Whales. Entanglement of marine mammals in fishing gear is a global issue and a significant threat to minke whales, in particular. In the article "Fishing gears involved in Entanglements of Minke Whales (Balaenoptera acutorostrata) in the East Sea of Korea" (Marine Mammal Science, Vol. 26, No. 2, Pp, 282-295), K Song et al, studied the body lengths of minke whales entangled near Korea. The following table provides summary statistics for the body lengths of minke whales entangled at different ocean depths. Both variables, body length and ocean depth are in meters.

At the 1%significance level, do the data provide sufficient evidence to conclude that a difference exists in mean body length among minke whales entangled at the four different depths? Note: For the degrees of freedom in this exercise:

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

Regarding one-way ANOVA, fill in the blanks in each of Exercises 13.15-13.17
13.16 A measure of variation within the samples is called the--------

The mathematical abbreviation for it is----------

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.

See all solutions

Recommended explanations on Math Textbooks

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.