Consider a generic statistical model where the parameter of interest is the popu-lation mean 0, and the population variance is a finite number. Give the definitionof a consistent estimator for 0, and prove that the sample mean estimator is al-ways consistent for 0. The answer should not exceed more than 20 lines, including4.equations.

Answered: Image /qna-images/answer/67b663dc-1007-40db-9bc3-3f9b9413dcc1.jpg

Answered: 4. Consider a generic statistical model…

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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8. What term requires the variance of a person’s scores at time 1, time 2, and time 3 be equal? Sphericity Multicollinearity Greenhouse-Geisser
Suppose we wish to compare the variation in diameters of parts produced by company A with the variation in diameters of parts produced by company B. The sample variance of company A, based on n = 19 diameters, was, s1 2 = 0.0012, while the sample variance of the 20 diameter measurements from the company B has sample variance, s2 2 = 0.0017. Do the data provide sufficient information to indicate a larger variance in diameters for company B?. Test with X = 0.1.
A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 13 bulbs of model A showed a mean lifetime of 1358 hours and a standard deviation of 105 hours. Analysis of 12 bulbs of model B showed a mean lifetime of 1357 hours and a standard deviation of 103 hours. Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a 90% confidence interval for the difference µ, –, between the mean lifetime lj of model A bulbs and the mean lifetime µ, of model B bulbs. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit:|| Upper limit:I
At ? = 0.10, can it be concluded that there is a difference in means of time spendfor studying between male and female based on point estimate in 2nd attached image?Assume the population variances are unequal
1.2. Consider the following ANOVA model of wages: WAGE, = B, + B, GENDER, + 4, where GENDER, is a dummy variable indicating whether individual i is male or female. Suppose a researcher specified GENDER, as equal to 1 if female and 2 if male. Do you see any problems with this specification? Explain.
1. Determine the sample regression line relating infant mortality to female literacy and plot it on a new scattergram with the equation and R2 on the scattergram. 2. State the value of the correlation coefficient and coefficient of determination. 3. Does your data support the hypothesis that 1 <0. 4. Compute a 90% confidence interval estimate for 1. (use excel for regression analysis charts.) |-- Infant Mortality Rate 2021 ||- - || Female Literacy Rate 2021 | -|| 95.92 | 2.5 ||| 14.6 ||| 3.8
104. What is the least squares regression line for the following summary data? y-hat =1.99x + 3.11 y-hat = 2.01x + 3.55 y-hat = 2.16x + 2.47 y-hat =2.02x + 2.73
You have been asked to determine if two different production processes have different mean numbers of units produced per hour. Process 1 has a mean defined as μ₁ and process 2 has a mean defined as µ₂. The null and alternative hypotheses are H₂: μ₁ −μ₂ ≤0 and H₁ : µ₁ − µ₂ > 0. The process variances are unknown but assumed to be equal. Using random samples of 36 observations from process 1 and 49 observations from process 2, the sample means are 60 and 50 for populations 1 and 2 respectively. Complete parts a through d below. Click the icon to view a table of critical values for the Student's t-distribution. THIV IVVI VIMUVUV IVA Since the test statistic is IV The test statistic is t = MITM IV ܝ The critical value(s) is(are) 1.663. (Round to three decimal places as needed. Use a comma to separate answers as needed.) greater than t + ny – 2,0 ² reject Ho. c. Can you reject the null hypothesis, using a probability of Type I error x = 0.05, if the sample standard deviation from process 1…
A study was conducted by a group of neurosurgeons. They compared a dynamic system (Z-plate) and a static system (ALPS plate) in terms of the number of acute postoperative days in the hospital spent by the patients. The descriptive statistics for these data are as follows: for 14 patients with dynamic system, the sample mean number of acute postoperative days was 7.36 with standard deviation of 1.22; for 6 patients with static system the sample mean number of acute postoperative days was 10.5 with sample standard deviation of 4.59. Assume that the numbers of acute postoperative days in both populations are normally distributed. We wish to estimate µ1 − µ2 with a 99 percent confidence interval. Can you assume unknown population variance are equal. a. Degrees of freedom and t-value are b. Margin of error and confidence interval are c. Based on your interval in part (b), we can state with 99 percent confidence that the average numbers of acute postoperative days in two populations i.…
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A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 15 bulbs of model A showed a mean lifetime of 1348 hours and a standard deviation of 81 hours. Analysis of 11 bulbs of model B showed a mean lifetime of 1351 hours and a standard deviation of 109 hours. Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a 99% confidence interval for the difference H-, between the mean lifetime u, of model A bulbs and the mean lifetime u, of model B bulbs. Then find the lower limit and upper limit of the 99% confidence interval, Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: Explanation Check 2021 McGraw-Hill Education. Al Rights Reserved…
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