In a one-way ANOVA, if the null hypothesis is ₁₁ = ₂ = 3 = ₁ then the alternative hypothesis is:Select one:a. Ha at least three of the means are different from the othersOb. Ha all populations means differc. H₁: at least one of the means are different from the othersd. H₁: at least two of the means are different from the otherse. Ha none of the populations means differ

The scenario for one-way analysis of variance is given here.The null hypothesis is the hypothesis of…

Answered: In a one-way ANOVA, if the null…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Under what conditions should you use the pooled-variance t test to examine possible differences in the means of two independent populations?
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Answer true or false to each of the following statements and explain your answers. a. In a two-way ANOVA, if there is an interaction between Factor A and Factor B, then there must be a main effect due to at least one of the factors.b. In a two-way ANOVA, if there is no Factor A main effect and no Factor B main effect, then there can be no interaction effect between Factor A and Factor B.
4. A community college wants to analyze the age and GPA of its students. Here is the data: Age 18 40 25 38 44 19 51 28 31 24 GPA 2.9 3.3 2.0 3.9 3.7 2.7 3.9 3.5 1.9 2.9 3.4 Can we say that there is a significant relationship between these variables? (Use a = %3D .05) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence: 21
Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?
Which of the following statements is true regarding ANOVA? O The goal of ANOVA is to explain variation in sample data O Tukey's Test can be conducted after running a two factor ANOVA with replication O Two factor ANOVA without replication allows you test for interaction effects O Both a. and b. are true statements O Both a. and c. are true statements O Both b. and c. are true statements
Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.3 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use ? = 0.10. State the null and alternative hypotheses. -H0: ?12 > ?22 Ha: ?12 ≤ ?22 -H0: ?12 ≠ ?22 Ha: ?12 = ?22 -H0: ?12 ≤ ?22 Ha: ?12 > ?22 -H0: ?12 = ?22 Ha: ?12 ≠ ?22 Find the value of the test statistic. (Round your answer to two decimal places.) statistic=?? Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value = ?? State your conclusion. -Reject H0. We can conclude that there is a difference between the population variances. -Do not reject H0. We cannot conclude that…
An ANOVA test is a way to find out if survey or experiment results are significant. In other words, they help you to figure out if you need to reject the null hypothesis or accept the alternate hypothesis. ANOVA is a test between groups to see if there’s a difference between them. State the four assumptions required for one-way ANOVA. How crucial are these assumptions? One-way ANOVA is a procedure for comparing the means of several populations. It is the generalization of what procedure for comparing the means of two populations? In one-way ANOVA, identify the statistic used a. as a measure of variation among the sample means. b. as a measure of variation within the samples. c. to compare the variation among the sample means to the variation within the samples. 4. What is a two-way ANOVA?
a firm has two investment projects project A : expected profit = $ 670 SD = 175 coefficient of varience = 0.26 project B : expected profit = $700 SD = 370 coefficient of variance = 0.53 a. which project has a lower absolute risk ? b. whick project has a lower relative risk ? C . which project would you advice the firm to choose ?
Which statement best represents the logic of a one way analysis of variance which also called ANOVA which is also called the F test? A. Under the null, The population means are equal to each other, so any difference in sample means will register as significant difference B. Under the null, at least one mean is different from the others, so if this condition is met with the data, it will register as a significant difference C. Under the null, The means are assumed to be equal; as a result the between group variance will equal the within group variance ; if the calculated SSbetween is sufficiently larger than SSbetween this would suggest the between group variation is larger than within group variation and indicate there is a significant difference amount the means D. Under the null, the means are assumed to be equal, as a result, the within group variance will be larger than the between group variance and this will be revealed by a significant F, which would indicate that the…
Which outcome is expected if the null hypothesis is true for an analysis of variance? a. SSbetween should be about the same size as SStotal. b. SSbetween should be about the same size as SSwithin. c. MSbetween should be about the same size as MStotal. d. MSbetween should be about the same size as MSwithin.

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