Question 4Consider a population with mean u and variance o? < 0. We collect an IID sample x1, ..., xT andestimate the mean of the population u using an estimator OT with the following properties:202E(@r) =and V(Or) =TWhich of the following is the best answer?A) The estimator 0T is the sample mean multiplied by v2B) The estimator is consistent for u, like the sample mean, and equally efficient since V(0T) goesto zero.C) There is not enough information to say whether the estimator is consistent for uD) The estimator is consistent for u and is not the sample mean

Answered: Question 4 Consider a population with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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QUESTION 4 PART A- What is the standard error of the correlation coefficient for the association of extroversion and neuroticism in personalities? QUESTION 4 PART B- Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the value of the t-statistic corresponding to this test? (Report the absolute value. The t-distribution is symmetric, thus it is easier to compare the absolute value of the t-statistic with the positive values in statistical table C). DATA IS ATTACHED.
1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…
3) For a sample of 306 students in a basic business communications course, the sample regression line y = 58.813 + 0.2875x was obtained. Here y = final student score at the end of the course x = score on a diagnostic writing skills test given at the beginning of the course The coefficient of determination was 0.1158 and the estimated standard deviation of the estimator of the slope of population regression line was 0.04566. a) Define and interpret the estimates of the regression equation. b) Interpret the coefficient of determination. c) What will happen to the final student score if his diagnostic writing test score increases by 2? d) How can you inmprove this model?
QUESTION 1 Manama cement factory produces precast cement blocks, last year's record showed the mean weight per block as 21.05 KG. This year they have sampled 50 units, and the maximum acceptable weight per block was 29.85, with a variance of 13.51 KG. Calculate the z value associated with this sample? (Write your answer in 2 decimals places e.g. 0.99)
QUESTION 42 Below is a variance component table generated from the G-study for a p xi design. Variance Component Person(p) 0.40 Item (i) 0.10 Person x item, error 0.90 Calculate the relative measurement error when only 1 item is used to evaluate students performance. QUESTION 43 Below is a variance component table generated from the G-study for a pxi design. Variance Component Person(p) 0.40 Item (i) 0.10 Person x item, error 0.90 Calculate the absolute measurement error when only 1 item is used to evaluate students' performance. QUESTION 44 Below is a variance component table generated from the G-study for a pxi design. Variance Component Person(p) 0.40 Item (i) 0.10 Person x item, error 0.90 Calculate the relative G-coefficient when only 1 item is used to evaluate students" performance.
Albumin is a liver protein that helps circulate vitamins throughout the body. Reduced Albumin has been associated with severe illness with Covid-19 patients. Suppose we wanted to conduct a study to compare the mean Albumin concentration (g/L) between a sample of adult patients hospitalized for Covid 19 (Sample Mean= 32.8, s=6.0) to the mean albumin concentration (g/L) of healthy adults (u=34.1, o=7.13). How many patients would need to enroll from the hospital to conduct this study with 99% confidence, and 80% power? A. 267 B. 120 C. 352 D. 225
5. We don't want predictor variables that are too highly correlated with each other or they are redundant (say ≥±.70) or multicollinear (2±.90), which means the variables are measuring pretty much the same thing so why have them all in the equation. What was the finding for redundancy between SPI Scientist and SPI Practitioner? a. No issue with redundancy since the shared variance between the two variables was only 4% (r2 = .04). b. There was an issue with redundancy between the two variables shared 62% of the variance in the relationship.
A. 2.1
Question 6 "An electrical firm produces light bulbs that have a length of life that is approximately normally distributed with a mean of 660 hours and a population standard deviation of 25 hours. A new version of light bulbs is being produced and is assumed to be better than the previous version. To test this claim, a random sample of 92 new light bulbs are tested. Would you buy the new version of the light bulb or would you buy the older version if the random sample showed an average of 870 hours? Use a 0.05 level of significance." I will buy the older version until there is sufficient evidence to do otherwise. B I will buy the new version. C I will certainly buy the older version because I am 100% sure it is better. There is no sufficient data to make a sound conclusion.
Question 5 Find the 65 -th percentile for a normal random variable X~ N(μ= 36.1,0 = 5.4). The 65-th percentile for X is (Round the answer to 2 decimal places)

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