4. Describe the homogeneity of variance assumption and explain why it is inportant for the independent- measures t test.

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: Explain the assumption of homogeneity of variance?

A: Independent Two Samples t-test: Suppose there are two populations independent of one another. A…

Q: For the independent-measures t statistic, what is the effect of increasing the sample variances?

A: If there is more variance in the sample data , then the difference between the mean of data and data…

Q: Question 18

A: The independent t-test assumes the variances of the two groups we are measuring are equal in the…

Q: An office manager claims that the mean time required to handle a customer complaint is less than 30…

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

Q: The Analysis of Variance (ANOVA) is used to determine if there is a difference between a selected…

A: ANOVA, the analysis of variance is the technique used to check if there is significant difference…

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: What is the mean of Class A and B? What are the standard deviation and variance of Class A and B?…

A:

Q: 2) Explain why the standard deviation would likely not be a reliable measure of variability for a…

A: In order to analyze the standard deviation that will not be reliable based on the measure of…

Q: (a) Show that 2X is also an unbiased estimator of B. the properties of sample mean,

A: Given:  Random variable x with mean (beta/2)  Then to show that "2*xbar" be  the unbiased estimate…

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: Explain the formula for the variance of the sampling distribution of the mean?

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: 17. Which is not assumed in ANOVA? A) Observations are independent. B) Populations are normally…

A: Answer: Option D) Population variances are known.

Q: For a one-way analysis of variance comparing four treatments, MSbetween = 12. What is the value of…

A: It is given that the number of treatment levels is 4 and MSbetween = 12.

Q: calculate the relevant pooled variance. The correct value is:

A: For population 1, sample size n1 = 18, sample SD s1 = 13577 For population 2, sample size n2 = 12,…

Q: a) Compute the standard deviation for each of the variables. b) Compute the covariance between…

A: Given Data : 1) Variable : Grade  Count, N: 6 Sum, Σx: 393 Mean, x̄ = Σx / N 65.5…

Q: For tests of Homogeneity of Variance the preferred outcome is to reject the Null hypothesis. True…

A:

Q: An analysis of variance produces SSbetween = 40 and MSbetween = 20. In this analysis, how many…

A: Solution: From the given information, SSbetween=40 and MSbetween =20. Then,

Q: 3. Under which situation does the Levene's test prove to be most valid, or very good, in detecting…

A: Given, under which situation does the Levene's test proved to be most valid or ver good in detecting…

Q: What is variance?

A: Variance is a measure of dispersion or spread of a data distribution. Variance of a data…

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: Can you please solve the question quickly? A HR manager in a Global Corporation is interested in…

A: Correct answer is  (D)  H0: μJap ≥ μAm and H1: μJap < μAm

Q: Suppose Y follows binomial with mean = 20 and variance =7, what is the values of the probability of…

A: Y~Binomial(n,p) Given , E(Y) = 20, Var(Y)=7 E(Y) = np 20=np n=20p Var(Y) = npq 7=npq Put n=20p  in…

Q: Test the claim that the mean GPA of night students is significantly different than 2.7 at the 0.2…

A: claim : we wants to test that mean GPA of night student is different than 2.7 given information:…

Q: i) What is the moment generating function of the sample mean? ii) What will be the mean of the…

A: It is given that Xi , i = 1, 2,. .......,10 follows given pdf f(x) i.e N(0,1)

Q: Give 2 examples of Variance and standard deviation for grouped data to coefficient of skewness and…

A:

Q: Describe research situation to illustrate the use of the One-way Analysis of Variance and one…

A: We know that, Assumptions of One-way analysis of variance (ANOVA) : 1] Samples are randomly…

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: Describe when you would use an analysis of variance versus an independent samples t-test.

A: Analysis of variance (ANOVA) is used when we have more than two independent samples whereas…

Q: Researchers conducted a study to determine the influence of having a full-time job on academic…

A: R2 is known as coefficient of Determination and is used to represent the amount of variance in the…

Q: iv) Does the estimator attains the minimum variance unbiased estimator of 0.

A:

Q: if variances are unequal, which would be an alternate non-parametric test for the independent…

A: When the variances are unequal, Mann-Whitney U Test would be an alternate non-parametric test for…

Q: What is the Weakness of Variance?

A: Solution: The major weakness of variance is given

Q: A manufacturer of potato chips would like to know whether its bag filling machine works correctly at…

A: Given, Sample size = 45 Sample mean = 411   Population standard deviation = 676   The objective is…

Q: Why would you use the Tukey-Kramer procedure?    a. To test for normality. b. To test for…

A: Why would you use the Tukey-Kramer procedure?    a. To test for normality. b. To test for…

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

A: Solution :  when the variance are known and sample size is large then we use z test to determine…

Q: Under what conditions should you use the pooled-variance t test to examine possible differences in…

A: Two samples are said to be independent if the sample values selected from one population are not…

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

A:

Q: mean [ Choose ] variance [ Choose ]

A: here given, coin shows a tail in four out of every five tosses

Q: Which is not one of the major assumptions typically associated with parametric tests of…

A: Introduction:Some of the major requirements (though not the only requirements and may vary from one…

Q: 18. Describe the homogeneity of variance assumption and explain why it is important for the…

A: Introduction: In general, the homogeneity of variance assumption considers that two or more groups…

Q: For an analysis of variance comparing four treatments, MSpetween = 12. What is the value of…

A: Given: MS between=12 Total number of treatments = k = 4 The between degrees of freedom can be…

Q: When using an Analysis of Variance test, in order to find out which specific means are different…

A: Solution: ANOVA is used when there is an equality of more than two groups to be tested.

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: If other factors are held constant, increasing the sample variances will have very little influence…

A: Effect size : The size of the effect indicates how significant the association between variables or…

Q: Explain the circumstances under which we would need to pool the variance for an independent samples…

A: The pooled sample variance offers a higher precision estimate of the variance than the individual…

Q: If, in an analysis of variance, you find that MSTR is greater than MSE, why can you not immediately…

A: While performing Analysis of Variance (ANOVA), we calculate the test statistics which is the ratio…

Q: the homogeneity of variances assumption states that the variance in the two samples must be equal?…

A: Homogeneity of variances always make about the population variance not about sample.

Q: We want to test if there is a difference in the amount the families in the two cities spend on…

A: