QI A random sample of n=2 households was drawn from a small colony N=5 households having monthly income (in rupees) as follows Households: 3 4 5 Income (in thousand rupees): 8 6.5 7.5 7 a) Calculate population mean Y , variance o? and s b) Enumerate all possible samples of size n=2 by without replacement method and verify that i) Sample mean is an unbiased estimator of population mean ii) Nỹ is an unbiased estimate of population total Y ii) V(ỹ) = (N-n)S and nN iv) E(s³)= s? Q2 In a population N=5, the values are 2, 4, 6, 8 and 10 then for a SRS of size n=3 show that V (y) srsworV(y) srswr

QI A random sample of n=2 households was drawn from a small colony N=5 households having monthly income (in rupees) as follows Households: 3 4 5 Income (in thousand rupees): 8 6.5 7.5 7 a) Calculate population mean Y , variance o? and s b) Enumerate all possible samples of size n=2 by without replacement method and verify that i) Sample mean is an unbiased estimator of population mean ii) Nỹ is an unbiased estimate of population total Y ii) V(ỹ) = (N-n)S and nN iv) E(s³)= s? Q2 In a population N=5, the values are 2, 4, 6, 8 and 10 then for a SRS of size n=3 show that V (y) srsworV(y) srswr

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

The data in table is from a randomized block design represent blood pressure measurements from an experiment involving 4 age groups, each with 3 persons. The 3 persons within each age group were randomly assigned to drugs, A, B and C with one person per drug. This was done to keep the drug assignments balanced within age groups. Comparing the three drugs in manner that provides balance for or control for possible age effects. Consider the data given in table below and compute; a. Mean Square Due to Treatments (MSTR) b. Mean Square Due to Blocks (MSBL) Mean Square Due to Error (MSE) C. d. F-test Treatments Age Groups (Blocks) A B 1 70 72 2 76 84 3 82 86 4 90 92 Total 318 334 C Total Blocks 80 222 82 242 84 252 88 270 334 986
The results of a state mathematics test for random samples of students taught by two different teachers at the same school are shown below. Can you conclude there is a difference in the mean mathematics test scores for the students of the two teachers? Use α = 0.01. In addition, assume the populations are normally distributed and the population variances/standard deviations are not equal. Teacher 1 Teacher 2 ?̅1 = 473 ?̅2 = 459 S1 = 39.7 S2 = 24.5 n 1 = 8 n 2 = 18 a. State the null and alternate hypotheses (write it mathematically) and write your claim. b. Find the test statistic c. Identify the Rejection region (critical region) and fail to reject region. Show this by drawing a curve and…
Which would be the appropriate way to test differences in proportions for more than two samples? t-test if variance is unknown z-test paired t-test F-test for equality of variances cross-tabulation procedure to conduct a chi-square test
In a hypothesis test for the population variance, the alternate hypothesis is the population variance doesn't equal 17.0. The significance level to be used is 0.05 and the sample size to be taken is 25. The table value(s) to use from the chi-square distribution is/are 12.401 and 39.364. 13.181 39.364 40.671
7. A study was conducted to compare the amount of salt in potato chips. Random samples of recorded. Assume the populations are normally distributed with equal variances. The 7 A study was conducted to compare the amount of salt in potato chips. Random sampies o. three varieties were obtained and the amount of salt in each 1-Oz portion of potato chp recorded. Assume the populations are normally distributed with equal variances. results are given here: BBQ Cheese- Amount of salt (in mg of sodium) 338, 159, 240, 190 235, 251, 233, 255, 260 Variety flavored Olestra-based 164, 150, 149, 170 a) Identify the explanatory variable. b) Identify the response variable. c) State the appropriate hypotheses to test for a difference in means. d) The appropriate analysis to test for a difference in means would be: a. One-way ANOVA b. Two-way ANOVA c. Three-way ANOVA d. Two-Sample t-test
A researcher wants to measure average cardiovascular health of university students and compare those scores to the average scores in the general population. Assuming that population variance is known, what statistical test is most appropriate for this study? independent-samples t-test single-sample t-test z-test for sample mean related-samples t-test