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Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(µ1, 0²) and Y1,..., Yn, with each Y; ~ N(µ2, 0²) We will assume that u1, µ2 and o? are unknown. We are given a = 10.1, j = 7.1, s? = 5.5 and s = 6.4, with n1 = 13 and n2 = 19. We would like to test the hypothesis Ho : µj = µ2 versus H1 : µ1 # µ2. What test statistic should you use? You may assume the samples come from populations with equal variances. Select one: O a. T= tn+n,-2, where S is the pooled estimate of variance. S,V1/n,+1/n2 X-Ý o? V1/n¡+1/n2 O b. Z = N(0,1), where o? = 6.04. О с. Т- - t12, where d is the mean and S? is the sample variance of paired differences d; = x; – Yi, i =1,..., 13. Sal V12 What is the observed value of the test statistic for the appropriate hypothesis test of Ho : µ1 = µ2 versus Hı : µ1 7 µ2? What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test?

Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(µ1, 0²) and Y1,..., Yn, with each Y; ~ N(µ2, 0²) We will assume that u1, µ2 and o? are unknown. We are given a = 10.1, j = 7.1, s? = 5.5 and s = 6.4, with n1 = 13 and n2 = 19. We would like to test the hypothesis Ho : µj = µ2 versus H1 : µ1 # µ2. What test statistic should you use? You may assume the samples come from populations with equal variances. Select one: O a. T= tn+n,-2, where S is the pooled estimate of variance. S,V1/n,+1/n2 X-Ý o? V1/n¡+1/n2 O b. Z = N(0,1), where o? = 6.04. О с. Т- - t12, where d is the mean and S? is the sample variance of paired differences d; = x; – Yi, i =1,..., 13. Sal V12 What is the observed value of the test statistic for the appropriate hypothesis test of Ho : µ1 = µ2 versus Hı : µ1 7 µ2? What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test?

MATLAB: An Introduction with Applications
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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Suppose we observe two independent random samples X1,..., X,n, with each X; ~ We will assume that u1, lz and o are unknown. N(µ1,02) and Y1,..., Yn, with each Y; ~ N(µ2, 0²). We are given = 10.1, ỹ = 7.1, s = 5.5 and s?, = 6.4, with n1 = 13 and n2 = 19. We would like to test the hypothesis Ho : µ1 = µ2 versus H1 :µ1 7 µ2. What test statistic should you use? You may assume the samples come from populations with equal variances. Select one: O a. T= X-Ý - tn+n-2, where S is the pooled estimate of variance. S,V1/n,+1/n2 Ob. X-Ý N(0, 1), where o? = 6.04. Z = o? V1/n,+1/n2 Т- Sal V12 n t12, where d is the mean and S? is the sample variance of paired differences d; = x; – Yi, i = 1, ., 13. What is the observed value of the test statistic for the appropriate hypothesis test of Ho : µ1 = µ2 versus H1 : µ1 # µ2? What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test?
Transcribed Image Text:Suppose we observe two independent random samples X1,..., X,n, with each X; ~ We will assume that u1, lz and o are unknown. N(µ1,02) and Y1,..., Yn, with each Y; ~ N(µ2, 0²). We are given = 10.1, ỹ = 7.1, s = 5.5 and s?, = 6.4, with n1 = 13 and n2 = 19. We would like to test the hypothesis Ho : µ1 = µ2 versus H1 :µ1 7 µ2. What test statistic should you use? You may assume the samples come from populations with equal variances. Select one: O a. T= X-Ý - tn+n-2, where S is the pooled estimate of variance. S,V1/n,+1/n2 Ob. X-Ý N(0, 1), where o? = 6.04. Z = o? V1/n,+1/n2 Т- Sal V12 n t12, where d is the mean and S? is the sample variance of paired differences d; = x; – Yi, i = 1, ., 13. What is the observed value of the test statistic for the appropriate hypothesis test of Ho : µ1 = µ2 versus H1 : µ1 # µ2? What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test?
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