1.) enumerate the steps for a hypothesis test for a population mean when the variance is known.

Q: 6. Suppose that two populations have equal population variances but are of different 10,000,000.…

A: Given that two populations have equal population variances but different have different sizes N1 =…

Q: Regarding the SPSS output of an Independent Samples t test, if Levene’s Test for Equality of…

A: It is given that, if Levene’s test for equality of variance is significant. That is, the variances…

Q: The assumption of homogeneity of variances was tested by Levene’s Test, F(2, 432) = 4.61, p < .001.…

A: The hypothesis is, Null hypothesis: H0: The variances of groups are equal. Alternative hypothesis:…

Q: If the null hypothesis is true, this means that there is no real difference between sample means and…

A: If the null hypothesis is true, this means that there is no real difference between sample means and…

Q: The homogeneity of variance assumption stipulates that, O the two samples have equal variances O…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: To obtain a maximum amount of variance, an item ought to have a degree of difficulty of what?

A: To obtain a maximum amount of variance an item ought to have a degree of difficulty is the number of…

Q: A technician changed his machine to a new one because he wants to improve in his job performance.…

A: (a) The sample variance for new machine can be obtained using the excel formula “=VAR.S(A1:A11)”.…

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: how will you formulate the appropriate null and alternative hypotheses on a population mean.

A: 2) How will you formulate the appropriate null and alternative hypotheses on a population mean. Null…

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

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

Q: The HR director of a company wishes to study whether there are any differences in the average…

A: a) The hypothesis is, H0: There is no difference between the aveage salaries of employees across 3…

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

A:

Q: Is the Chebyshev's rule used only with populations? Are samples used as well?

A: Yes, Chebyshev’s rule can be applied to population as well as sample.We should know the following…

Q: 4. Describe the homogeneity of variance assumption and explain why it is inportant for the…

A: Homogeneity of variance states that the variance in each group should be equal (or homogeneous).…

Q: 2-For a sample of size 5, if x1 - = 5, x2 - i = -7, x3 - i= -4, x4 - i = 0, then determine the…

A:

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: 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: When a population mean is compared to the mean of all possible sample means of size 25, the two…

A:

Q: 14.) Using a sample to compute a __________ as a proxy for a parameter is generally called point…

A: Inferential statistics: The process of making inference about a population based on the sample taken…

Q: To conduct a hypothesis test comparing two population variances, both pop must be normally…

A: Assumptions for two sample variance test: Two populations should be normally distributed. Two…

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

A:

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: The formula for total variance (SST) is

A: Solution:-

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: 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: B. (a) A random sample of 25 female college students and 23 male college students indicated with the…

A: (a) The null and the alternative hypotheses are, H0: µ1- µ2=0 HA: µ1- µ2≠0 Test statistic: Thus,…

Q: Extending the Concepts and SkillsShow that, for two populations, MSE=Sp2, where Sp2 is the p√ooled…

A:

Q: Show that the sample proportion X n is a minimumvariance unbiased estimator of the binomial…

A: Hello, Thanks for posting your question here.  I believe the sample proportion is X/n  while copying…

Q: If the variability between the different sample means taken from the same population is small, we…

A: If the variability between the different sample means taken from the same population is small, we…

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

A: Solution: The given statement is “A pooled variance estimate is useful for two-sample hypothesis…

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

A:

Q: Test the claim that the samples come from populations with the same mean. A ssume that the…

A: As given,  It is assumed that the populations are normally distributed with the same variance.  The…

Q: 8. A random sample of size 16 is to be taken from a normal population having mean 100 and variance…

A: Obtain 90th percentile of the distribution of the sample mean. The 90th percentile of the…

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: following results. Do the populations have different variances at 5% level of significance?

A:

Q: Analysis of variance is a technique used to conduct a hypothesis test to compare three or more…

A: Solution-: Analysis of variance is a technique used to conduct a hypothesis test to compare three or…

Q: A survey was conducted to compare the mean cost of a meal at fast food restaurants in two different…

A:

Q: It is not essential to know the value of the population variances to test for the equality of two…

A: Solution To test the equality of means the F test is used .

Q: a population with a known mean but an unknown variance.

A: We have to study a single sample's mean is being compared to the population with a known mean but…

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: What is the relationship between the sampling variance of an OLS parameter estimate, and the total…

A: Sampling variance is the variance of the sampling distribution for a random variable. It measures…

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: 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: 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:

Q: The area of inferential statistics called hypothesis testing is a decision-making process for…

A: Introduction: Inferential statistics is the branch of statistics, that is involved in making…