If, in an analysis of variance, you find that MSTR is greater than MSE, why can you not immediately reject the null hypothesis without determining the F ratio and its distribution? Explain

Q: How did we use Cochran's Theorem to develop inference procedures for variances? What kind of data…

A: Cochran's theorem is used to establish the results which is relating to the probability…

Q: Could you explain the difference of homogeneity of variance and heterogeneity of variance?

A: Given that  We have to explain  the difference of homogeneity of variance and heterogeneity of…

Q: Given this already solved problem, how could you determine whether homogeneity of variance is…

A: The hypothesis for the homogenity of variances is H0 : σ12=σ22       againstH1 : σ12≠σ22 Adding the…

Q: What does sample variance measures in F test?

A: F-test is used to test whether the observations in two groups have same variability. Let X1, X2, …,…

Q: Suppose that we would like to test whether the variance of the length of a plaster panel is 20…

A: Given:  The sample number of examined panels are n=20. The sample variance is s2=18 millimeters. The…

Q: If we delete the largest observation from a sample, then the sample mean and variance will both be…

A: The mean is the average of a group of numbers, and the variance measures the average degree to which…

Q: Variability in a distribution that would be otherwise non-normal may tend towards normality with…

A: When the distribution is non-normal and if random sampling is used, there are chances that the…

Q: Two balanced coins are flipped. What is the variance of the number of heads observed?

A: For this case, the number of possible outcomes will be:  (HH), (HT), (TT), (TH) Here, H represents…

Q: Two accounting professors decided to compare the variance of their grading procedures. To accomplish…

A:

Q: How do you find the standard error estimate of two disjoint populations, assuming they have the same…

A:

Q: A quality-control manager was concerned about variability in the amount of an active ingredient in…

A: Given data: Sample size = 21 To find: What is the probability that the sample variance of the amount…

Q: What is the variance of number of Sundays on a nonleap year?

A:

Q: What is formula for variance for sample?

A: Variance measures absolute variability in a data set, calculated with respect to the mean. That is,…

Q: how to find the variance?

A: Variance is a measure of variability. It is computed by the average of squared deviations from the…

Q: If you want to reduce the amount of variance present in an independent-measures (one-way) ANOVA, you…

A: ANOVA is a parametric inferential procedure.

Q: A pooled variance estimate is useful for two-sample hypothesis tests of a normal mean when the…

A: It is given that the population variances are equal.

Q: In a class of 100 students, the professor wants to determine what proportion of the students can…

A: Given: 30 students out of 100 students can answer the calculus question but professor decided to…

Q: What mathematical operations could I do to every score in my distribution list that would have no…

A: Mathematical operation  Adding/subtracting

Q: How does the value of sample variance influence the likelihood of rejecting the null hypothesis and…

A:

Q: If you want to reject the null hypothesis, which should be larger, the within groups or between…

A: We have given that a statement related to null hypothesis in case of F test.

Q: What is the expression for PROPORTION OF EXPLAINED VARIANCE, η2 (ONE-FACTOR ANOVA)?

A: The proportion of explained variance is known as the coefficient of determination. It is the ratio…

Q: please explain how to use the standard deviation from the 1-Var Stats statistical output to obtain…

A: Hint:  Standard devation =Variance

Q: How does the value of sample variance influence the likelihood of rejecting the null hypothesis and…

A:

Q: Why is the unbiased estimator of variance used?

A: the unbiased estimator of the population variance, corrects the tendency of the sample variance to…

Q: What are the steps for a hypothesis test for population mean when the variance is known?

A: Given the variance for hypothesis test for population , To write the steps for the hypothesis test…

Q: what test is used to determine whether two population means are different when the variance are…

A: The test that is used to determine if the two population means are different when the population…

Q: Give a simple explanation on why statisticians think the sample variance is biased estimator of the…

A: Sample variance is a biased estimator of population variance whereas sample mean square is an…

Q: If other factors are held constant, as the sample variance increases, the estimated standard error…

A: Given: Sample variance increase and effect on the estimated standard error

Q: What are 6 real world applications of the two sample t test (equal variance)?

A: Two-Sample T-Test(equal variance) It is a hypothesis testing of the means of the two samples. It is…

Q: True or false: In order to use the unpooled t-test, we need to assume that the two population…

A: In order to use the unpooled t-test, we need to assume that the two population variances are…

Q: Explain how the variance in the numerator and denominator of each F-ratio of a 2-way ANOVA is…

A: Variance in the Numerator and Denominator for 2-Way ANOVA

Q: What does it mean that the variance (computed by dividing by N) is a biased statistic?

A:

Q: Prove that the sample variance is an unbiased estimator for the population variance. That is, show…

A: Let X1 , X2........Xn be the independent observations from a population with mean μ and variance σ2…

Q: What do we call variance in the ANOVA equation, and what notation do we use to represent them?

A: Given information: The information about ANOVA is given.

Q: Based on your understanding of how we calculate an ANOVA, what type of variance is most important to…

A: ANALYSIS OF VARIANCE (ANOVA)                   Analysis of variance (ANOVA) is a…

Q: What is the variance of random variables X, the outcome of rolling a fair die

A: The sample of rolling a fair die is {1,2,3,4,5,6}.

Q: How, in general, is the requirement of equal population variances to allow the use of analysis of…

A:

Q: what does MS stand for in analysis of variance?

A: Solution-: What does MS stand for in analysis of variance?

Q: The director of research and development is testing a new medicine. She wants to know if there is…

A: Solution:  Given information: n= 45 Sample size  x= 323    Sample mean μ= 318   Population mean σ2=…

Q: when using a sample to estimate the variance in the population, you should use n-1 in the…

A: If we are using (n-1) in denominator in the estimation of variance in the population. Than we have…

Q: When conducting a hypothesis test for the population mean, you will not know the population standard…

A: When we are conducting the hypothesis test for the population mean µ and we know the population…

Q: How does a binomial distribution differ from a distribution of a population or a distribution of a…

A: Binomial distribution is the distribution of the total number of success favouring any event.It is…

Q: Describe a scenario where a researcher could use an F-test for the equality of two variances to…

A: F-test can be used when we are given two groups and we want to compare the differences in the…

Q: Two accounting professors decided to compare the variance of their grading procedures. To accomplish…

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

Q: Why is it impossible to calculate a negative F value when using an Analysis of Variance to test a…

A: According to the F statistic for ANOVA,  MST =Mean square of treatment MSE = Mean square error In…

Q: Explain whether homogeneity of variance is satisfied for this analysis, and be clear on how you…

A: Homogeneity of Variance: Homogeneity of variance (homoscedasticity) is a crucial assumption shared…

Q: The F-statistic is a ratio score resulting in a measure of the estimated proportion of variance due…

A: The F-statistic is a ratio score resulting in a measure of the estimated proportion of variance due…

Q: What correctly represents the coefficient of determination in terms of the variance that is an…

A: Coefficient of determination depicts the variation in the dependent variable which is explained by…

Q: When is analysis of variance a more appropriate use of a statistical technique than a test between a…

A: ANOVA is simply the analysis of variance. It involves testing the difference between two or more…