If you want to reject the null hypothesis, which should be larger, the within groups or between groups variance? Explain your answer

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: How would you explain the analysis of variance, assuming that your audience has not had a statistics…

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Q: What happens to the power of a hypothesis test if the sample size is increased without changing the…

A: For a fixed significance level, increasing the sample size increase the power of a hypothesis test.…

Q: When should the sample mean of return be used instead of expected rate of return

A: The expected rate of return is the amount which is expected by the investor after investment. It can…

Q: When solving a problem related to one sample and the confidence interval of variance. Which table…

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Q: To determine whether a sample should be treated as a simple random sample, which is more important:…

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Q: Explain the importance of mean and variance of random variable in decision making

A: Mean of a Random Variable: The mean or expectation of a random variable X, denoted by E(X), is a…

Q: How can the sample covariance be used to estimate the covariance of random variables?

A: The covariance is used to measure the relationship between two random variables, that is, to what…

Q: Why would we run a two-way analysis of variance and what effects would we look at for interpretation…

A: We have to tell about TWO - WAY ANOVA (Two way analysis of variance)

Q: Briefly explain the use of sampling distribution of sample statistic in hypothesis testing.

A: Use of sampling distribution (SD) of sample statistic (SS) in hypothesis testing

Q: What statistical procedure is best for the attached scenario and how will it answer the research…

A: Instruction : "What statistical procedure is best for the attached scenario and how will it answer…

Q: If you have a sample size of 100 from a population of rope with sample mean breaking strength of 960…

A: Solution: Let X be the breaking strength. From the given information, x-bar = 960 pounds, S=200…

Q: Briefly explain when a one-way ANOVA procedure is used to make a test of hypothesis 8. What is the…

A: (a) The one-way analysis of variance (ANOVA) is used to determine whether there are any…

Q: Does the one observed sample mean qualify as a common or a rare outcome? Explain.

A: Sample mean qualify as a common outcome if the difference between the sample mean and the actual or…

Q: When is it appropriate to use a one-sample Z test and how is this value similar to a simple z or…

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Q: Explain the tests of statistical significance?

A: It is asked to explain the tests of statistical significance.

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: In your own words, give a simple explanation on why statisticians think the sample variance is…

A: We can define the bias of an estimator as the difference between this estimator's expected…

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: whats a statistical hypothesis?

A: Hypothesis: Hypothesis is an assumption about the parameter of the population which will be made on…

Q: Please review and explain the significance of basic concepts about random variables, namely, the…

A: In Statistics or data analysis, the various descriptive or summary statistics on a particular random…

Q: Explain which steps you would take to conduct a two-sided hypothesis test for the population mean…

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Q: Suppose that you have obtained data by taking a random sample from a population. Before performing a…

A: For a random sample that is selected from a population, the following steps have to be done in order…

Q: a researcher peformed the Mann-Whitney test and found a significant difference between psychologists…

A: Since, the population standard deviation known. Therefore, the value of z should be taken from…

Q: What is the sample covariance?

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Q: Should be consider this score unusual? What is the value of the test statistic?

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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: Explain why the formulas for sample variance and population variance are different.

A: Here's the explanation is as follows; Sample Variance : It is used to calculate how varied a sample…

Q: What does it mean when sample results are not statistically significant?

A: statistically significant: In principle, a statistically significant result (usually a difference)…

Q: Why do you need to know the sampling distribution of the difference between two sample means in…

A: In this case, we need to find the reason for identifying the sampling distribution of the difference…

Q: What happens to the power of a hypothesis test if the significance level is decreased without…

A: Solution: It is required to mention what happens to the power of a hypothesis test if the…

Q: What is the: (a) Mean (b) Sample Standard deviation (c) Sample Variance

A: Calculate Mean, Sample Variance (S^2), Sample Standard deviation (S) from the following grouped data…

Q: Explain the analysis plan that describes how to use sample data to accept or reject the null…

A: Step 2 Formulate an Analysis Plan: Describe the tests that will be appropriate to use to check…

Q: is take for one-way between-subjects analysis of variance? Why can’t it be summarized in a single…

A: The amount of variation among the sample means or the variation attributable to the difference among…

Q: What effect does increasing the sample size have on the population standard deviation? I know that…

A: The increase in the size of the sample, decreases the population standard deviation. This happens…

Q: Assume the population variances are equal. A teacher wants to determine whether  the mean scores for…

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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: What statistical methods are typically used in an inferential study?

A: There are two major parts in Inferential statistics, i. Estimation ii. Hypothesis Testing So, these…

Q: Does having a non-significant P-value means that the means of the sample will be the same? explain

A: The hypotheses for the means is constructed as: H0: The means of the sample will be the same. H1:…

Q: Explain the importance of mean and variance of random variable in decision-making. Relate it to STEM…

A: In statistics there are two types of measures namely measures of central tendency and…

Q: The mean of a sampling distribution is smaller than the mean of the underlying population. True or…

A: We have to find that the given statement is true or false... The mean of a sampling distribution is…

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: Is the attached problem a two sample test for a two sample normal means hypothesis test? Not sure…

A: The given problem is an example of two independent sample t-test. a) H0: Population variances of the…

Q: How does an observed sample mean qualify as a rare outcome?

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Q: What is Pooled Variance Estimate?

A: Consider two samples, drawn randomly from the independently from the same population with sample…

Q: If the null hypothesis is true, then what does the distribution of sample means?

A: Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Q: It is important to have a random sample to prevent data manipulation. O True False

A: This question can be solved by applying the concepts of random sampling.

Q: Discuss the basic strategy for performing a hypothesis test to compare the means of two populations,…

A: In two sample t test, there are two independent large samples taken from two different populations.

Q: What is the symbol for the sample variance?

A: Explanation: