The following data represent the number of packages of 5 popular brands of cigarettes sold by a supermarket on 9 randomly selected days. A В C D E 38 35 19 45 35 45 42 21 32 41 31 36 40 53 23 32 29 22 28 25 47 12 27 31 48 60 42 29 36 30 35 14 25 20 23 25 33 33 25 42 40 25 29 31 25 Perform an Analysis of Variance, at 5% level of significance and determine whether or not the 5 brands, sell on the average, the same number of cigarettes at this supermarket.

Q: Why would we want to use three separate tests instead of ANOVA?

A: Why would we want to use three separate tests instead of ANOVA?

Q: What are the advantages and disadvantages ANOVA hypothesis testing?

A: ANOVA:In one factor ANOVA model only one factor is studied, that is only the effect on one factor is…

Q: Why should we perform an ANOVA rather than multiple t-tests when we have three or more levels of our…

A: Introduction: Suppose we wish to compare the means of k groups (k > 2).

Q: Research should use a significance level of alpha = 0.20 instead of alpha = 0.05 because it is…

A: Statistical Significance: Statistical significance is a statistical method for testing whether data…

Q: A local bank claims that the waiting time for its customers to be served is the lowest in the area.…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: Historically, the percentage of U.S. residents who support stricter gun control laws has been 55%. A…

A: From the provided information, Sample size (n) = 2500 From which 1723 are in favor of stricter gun…

Q: State the assumptions for a two-way ANOVA and explain how these assumptions can be checked.

A: Assumptions of two-way ANOVA: The all samples should be independent. Each population is normally…

Q: What are all the p-value correction methods for ANOVA tests and why they are important? Please…

A:

Q: What is the criterion for rejecting the null hypothesis? How the p value is determined in ANOVA?…

A: Null Hypothesis: H0: There is no significant difference between means of three populations.…

Q: If we are testing whether 2 QUANTITATIVE variables are dependent on each other, we need to conduct…

A: It is needed to test whether 2 quantitative variables are dependent on each other.

Q: If other factors are held constant, explain how increasing the number of scores in each sample…

A:

Q: What is the difference when calculating the Tukey’s post hoc test with a repeated-measures ANOVA as…

A: Repeated measures Anova is the extension of dependent t test for more than 2 groups. It is also…

Q: What are the OTHER TYPES OF ANOVA?

A: There are two types of ANOVA, One –way ANOVA and Two-way ANOVA.   ANOVA: The ANOVA (analysis of…

Q: If the null hypothesis is rejected for a One-Way ANOVA, then what test should you conduct?

A: If the null hypothesis is rejected for a One-Way ANOVA, then it means that the means of all groups…

Q: What is equation for STANDARDIZED EFFECT SIZE, COHEN’S d (ADAPTED FOR ANOVA)?

A: The rejection of a null hypothesis indicates that an effect is significant. The effect of a…

Q: What is a p-value and how is it used to make a decision about the null hypothesis? How is the…

A: 1. The p-value or the calculated probability can be defined as the probability of finding the…

Q: Pre-load Condition A В D No-load 2.04 tons 1.44 tons 0.72 tons 2.21 2.97 2.57 2.41 2.29 2.33 2.51…

A: The data are given, Necessary assumptions of ANOVA are, Each of the samples must be independent of…

Q: If a test statistic does not lie in the critical region, we should the null hypothesis.

A: Rejection Rule: IF the test statistic value lies within the critical region, then reject the null…

Q: What is typically tested when we do hypothesis tests ?  - significance levels  - sample…

A: population parameters

Q: Explain why using an ANOVA naturally leads to the need to have post hoc tests

A: ANOVA is the generalization of the t-tests. We use the t-tests for checking the significant…

Q: What does ANOVA technique describes?

A:

Q: Define Prerequisites for Significance Testing?

A: The inference method that is used to support the research claim based on the sample data is called…

Q: What is Two-Factor ANOVA?

A:

Q: Historically, the percentage of U.S. residents who support stricter gun control laws has been 55%. A…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: what does ANOVA actually test?

A: ANOVA-Analysis of variance Test: Definition: Analysis of variance is defined as "Separation of…

Q: What is different about the F-test comparted to an ANOVA?

A: In general, F-test and ANOVA do the same thing. Both of them measure the variation between the…