Question 5 Suppose we have the following two samples , rini from No(21, Σ), Sample l: r1 1, Sample 2: T21 , . . . , z2n2 from MgWa, Σ 2). Two new = C2, + d for all 1-1,2 and j = 1, 2, . . . ,n, where...
9.6 in order to compare the means of two populations, inde- NW pendent random samples of 400 observations are selected from each population, with the following results Sample 1 Sample 2 $.240 s2 200 5,275 1150 a. Use a 95% confidence interval to estimate the dif- ference between the population means (μ,-μ Interpret the confidence interval. b. Test the null hypothesis Ho (μι-μ)--0 versus the c. Suppose the test in part b were conducted with the d. Test thenull hypothesis...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 ni = 400 n2= 300 P1= 0.44 P2= 0.36 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table....
Question 6 Consider two independent samples from 3-variate multivariate normal populations: 3 2 2 S2 3 2 1411 Population 1 with 12: sample size n 10, 13 3 2 21 Population 2 with 2 22sample size n2 - 10, 6,S2 2 3 2 μ21 23 Furthermore, assume the population covariance matrices of the two populations are the same. We aim to test 1. Test Ho with a 0.05 by Hotelling's T2 2. Test Ho with α 0.05 by Bonferroni correction....