Use Tables V, VI, VII, and VIII in Appendix D to find each

of the following F-values:

a. F0.05,v1=4,v2=4

b. F0.01,v1=4,v2=4

c. F0.10,v1=30,v2=40

d. F0.025,v1=15,v2=12

Short Answer

Expert verified

d. The F-critical value isF0.025,v1=15,v2=12=3.18.

Step by step solution

01

Given Information

The degrees of freedom for the test are 15 and 12. The significance level for the test is 2.5%.

02

Concept

The critical value is used to find the rejection region for the test statistic; based on it, the decision regarding the null hypothesis is taken.

03

Obtaining the critical value

d.

In Table VII in Appendix D, one has to check the value at the intersection of 15 and 20, which is the required critical value.

Thus the critical value is F0.025,v1=15,v2=12=3.18.

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 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

Robots trained to behave like ants. Robotic researchers investigated whether robots could be trained to behave like ants in an ant colony (Nature, August 2000). Robots were trained and randomly assigned to “colonies” (i.e., groups) consisting of 3, 6, 9, or 12 robots. The robots were assigned the task of foraging for “food” and to recruit another robot when they identified a resource-rich area. One goal of the experiment was to compare the mean energy expended (per robot) of the four different colony sizes.

a. What type of experimental design was employed?

What is the difference between a one-way ANOVA and atwo-way ANOVA?

Identify whether the following levels of factors are qualitative or quantitative.

a. Method of payment (cash, check, and credit card)

b. Hotel service rating (1 for Fair, 2 for Average, 3 for Good, and 4 for Excellent)

c. Percentage return on investment (1%, 5.5%, and 8.3%)

d. Time taken to complete a car race (22 minutes, 25 minutes, and 29 minutes)

e. Number printed on the back of a football jersey (1, 2, 3, etc.)

Performance of a bus depot. Refer to the International Journal of Engineering Science and Technology (February 2011) study of public bus depot performance, Exercise 9.25 (p. 544). Recall that 150 customers provided overall performance ratings at each of three different bus depots (Depot 1, Depot 2, and Depot 3). The average performance scores were determined to be significantly different at α=.05 using an ANOVA F-test. The sample mean performance scores were reported as . The researchers employed the Bonferroni method to rank the three performance means using an experiment wise error rate of .05. Adjusted 95% confidence intervals for the differences between each pair of treatment means are shown in the table. Use this information to rank the mean performance scores at the three bus depots.

Accounting and Machiavellianism. A study of Machiavellian traits in accountants was published in Behavioral Research in Accounting (January 2008). Recall (from Exercise 1.33, p. 52) that Machiavellian describes negative character traits such as manipulation, cunning, duplicity, deception, and bad faith. A Mach rating score was determined for each in a sample of accounting alumni of a large southwestern university. The accountants were then classified as having high, moderate, or low Mach rating scores. For one portion of the study, the researcher investigated the impact of both Mach score classification and gender on the average income of an accountant. For this experiment, identify each of the following:

a. Experimental unit

b. Response variable

c. Factors

d. Levels of each factor

e. Treatments

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.

Sign-up for free