Example 12.5 Two samples of sizes 40 and 50, respectively, are taken from a populationwith unknown mean μ and unknown variance o².Sample I:n₁ = 40,Σf x₁Σ+ x = 16329Sample II: n₂ = 50,Σf x₂ = 977,Σf x = 19177Using the data from the two samples, obtain the best estimates of u and o².= 807,

Given that We have to find the best estimate to μ and σ2

Answered: Example 12.5 Two samples of sizes 40…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

SCENARIO 10-3 A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes. Gotham: G = 35 months,SG2 = 900Metropolis: XM = 50 months, SM2 = 1050 Referring to Scenario 10-3, suppose a = 0.01. Which of the following represents the result of the relevant hypothesis test? A) Insufficient information exists on which to make a decision. B The null hypothesis is rejected. The alternative hypothesis is rejected. D) The null hypothesis is not rejected.
Given the following summary statistics of the data: Ex= 100, Ex=621, n=20, ESS = 9.65 %3D calculate the estimated variance of the error, s and hence the variance of slope coefficient b. e 1 (Round to three decimal places as needed.)
One of the following is the minimum variance unbiased estimator for u. The sample variance. The sample mean. The sample mean square error. The meadian.
Question 8 MO22. A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is less than 10 with known variance a. What is the critical value for the test statistic Z, for the significance level of 0.050? Round your answer to two decimal places i.e., 0.00. Provide all the necessary solutions. Zo = Blank 1 Blank 1 Add your answer
Suppose that weights of college mathematics textbooks in the United States are normally distributed with mean µ = 2.25 lbs and variance σ2 = 0.2025 lbs. Find the weight that corresponds to Q3 and interpret this measure of position in the context of the problem.
Compute mean, variance, and standard deviation
An analysis of variance produces SSbetween = 30, SSwithin = 60, and an F-ratio with df = 2, 15. For this analysis, what is the F-ratio? Question 14 options: 30/60 = 0.50 60/30 = 2.00 15/4 = 3.75 4/15 = 0.27
Two samples, sizes 40 and 50 respectively, are taken from a population with unknown mean μ and unknown variance 2σ . The data is shown below. Sample I X1 35 36 37 38 39 f 3 7 15 10 5 Sample II X2 35 36 37 38 39 40f 10 21 8 6 3 2 Using the data from the two samples above, obtain unbiased estimates of i. The population mean ii. The population variance
Example 7.15 If B₁ = 1 and ß₂ = 4 and variance = 9, find the values of μ3 and μ and comment upon the nature of the distribution.
An experiment where a patient's blood pressure is measured before a treatment (call it X;) and after the treatment (call it Y;). The difference in the blood pressue of each patient, Z; = Y; – X; is also recorded. The sample size n of patients is large. Suppose the true population mean of the patient's blood pressure before treatment is 41 and after treatment is 42, both unknown. Suppose the true population variance of the patient's blood pressue before and after treatment are the same, but unknown. Find an approximate 1-a confidence interval for 12 - 41- 2.
QUESTION 2 In the macro relation between GDP and FDI, Dr Mudenda obtained the following values from a Stata output: FDI coefficient of 0.45; t-statistic of 3; and covariance (GDP, FDI) value of 0.41. In literature, this relationship between GDP and FDI has generally been established to be statistically significant. Answer the following questions: i) Calculate the variance of the FDI variable and explain its implication ii) Use the confidence interval approach to test whether FDI's influence on GDP is statically significant or not in Dr Mudenda's study. Use 5% level which gives 1.96 critical values. What is the expected value of the p-values for studies that have been conducted in literature?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS