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- What criterion must a portfolio meet in order to be in the minimum variance set? Contrast the minimum variance set with the efficient set.The following graphs shows the sampling distribution for two different point estimators,X and Y and the same population parameter. which of the following statement is true? A) both X and Y are unbiases B) both X and Y are biased C) X is biased, Y is unbiased D) X is unbiased, and Y is biased E) the assessment of bias is not possible, because the damping distributions display too much variability.Suppose that you want to perform a hypothesis test for a population mean based on a small sample but that preliminary data analyses indicate either the presence of outliers or that the variable under consideration is far from normally distributed. a. Is either the z-test or t-test appropriate? b If not, what type of procedure might be appropriate?
- 1. In which of the following situations would unequal sample sizes in conditions of an ANOVA be problematic? a. if the sample sizes are large and the discrepancy between sample means is large b. if the populations from which samples are selected are not normally shaped and the discrepancy between condition sample sizes is large c. if the populations from which the sample sizes are selected are normally shaped and the discrepancy between condition sample sizes is large d. if the sample sizes are large and the discrepancy between sample means is not large 2. A research study comparing three treatments with n = 5 in each treatment produces T 1 = 5, T 2 = 10, T 3 = 15, with SS 1 = 6, SS 2 = 9, SS 3 = 9, and Σ X 2 = 94. For this research study, what is SS total? a. SStotal = 68 b. SStotal = 34 c. SStotal = 10 d. SStotal = 24 3. Which of the following is consistent with the alternative hypothesis regarding the main effect of Factor…1:Derive the Bayesian Risk 2: Consider two sets of data samples drawn from two classes, where these classes are characterized by two Gaussian distributions sharing equal means but with different variances: (In the image down) Your task is to find the Bayes' decision rule, also known as the Maximum-APosteriori (MAP) rule, for making optimal decisions based on these probability distributions.If we want to use the t-distribution to make an inference from our normally-distributed sample of size 15, how many degrees of freedom would we use?
- When a researcher uses random sampling in their study, they are most likely concerned with: When a researcher uses random sampling in their study, they are most likely concerned with: a.Increasing the internal validity of the study by creating a representative sample. b. Increasing the external validity of the study by creating a representative sample. c. Increasing the external validity of the study by reducing the potential for confounding variables. d. Increasing the internal validity of the study by reducing the potential for confounding variables.Discuss the assumptions for one-sampled t-test and why they are important.