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- A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician’s accuracy is within the target accuracy? Compute the value of the appropriate test statistic. A..png”> = 30.58 B.t = 27.50 C..png”>= 27.50 D.z = 1.65The homogeneity of variance assumption requires that: A. the sample variance is equal to the population variance. B. the smaller sample variance divided by the larger sample variance is not greater than 4. C. the two sample variances are equal. D. the two population variances are equal. E. the pooled variance has a value between the two sample variances.Which of the following is true of fixed effect estimators A. The fixed effects estimator is equal to the instrumental variable estimator if R^2 is equal to 1. B. The fixed effects estimators are biased if the regression model exhibits multicollinearity. C. The fixed effects estimators have lower variance than the ordinary least squares estimators. D. The fixed effects estimators have large standard errors when R^2 lies close to 0.
- 2) Let G and H be two independent unbiased estimators of θ. Assume that the variance of G is two times the variance of H. Find the constants a and b so that aG + bH is an unbiased estimator with the smallest possible variance for such a linear combination.The hatcheck staff has had a long day, and at the end of the party they decide to return people’s hats at random. Suppose that npeople have their hats returned at random. We previously showed that the expected number of people who get their own hat back is 1, irrespective of the total number of people. In this problem we will calculate the variance in the number of people who get their hat back.Let Xi= 1if the ith person gets his or her own hat back and 0 otherwise. Let Sn::= n i=1 Xi, so Snis the total number of people who get their own hat back. Show that (a) E [Xi2] = 1/n.The prevalence of mild myopia in adults over the age of 40 is 25% in the us supposed 4 adults over 40 are randomly chosen. Let Y denote the number of adult with myopia out of 4 with the following pmf of y Given X=10y-5 find the variance of X A) 75.10 B) 0.751 C) 70.10 D) 8.666
- Explain how to calculate: df for independent samples t-test: df for dependent (paired) samples t-test: Cohen’s d for an independent samples t-test: Cohen’s d for a dependent (paired) samples t-test: Variance (r2) for an independent samples t-test: Variance (r2) for a dependent (paired) samples t-test:It is false for DCA of fixed effects and random effects a. They are all true. b.In random effects the inference can be extended to treatments that are not experienced and in fixed effects it is not. c. The analysis of variance is performed on the variances for the random effects analysis and on the means for the fixed effects analysis. d. In both it is possible to choose for the factor both the number of levels and the levels why?Out of the following assumptions pertain to inferential statistics in multiple regression? The predictor variables are normally distributed. The criterion variable is normally distributed. The errors of prediction (the residuals) are normally distributed. The variance about the regression line is the same for all predicted values. The predictor variables are linearly related to the criterion.