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Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(µ1,o²) and Y1,...,Yn, with each Y; ~ N(µ2,0²). We will assume that u1, 42 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 : µ1 = 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= ~ t12, where d is the mean and S is the sample variance of paired differences di = x; – Yi, i =1,., 13. Sa//12 O b. Z = X-Ý N(0, 1), where o² = 6.04. o?V1/n,+1/nz X-Ý SV1/n+1/nz О с. Т% n tritn-2, where S is the pooled estimate of variance.

Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(µ1,o²) and Y1,...,Yn, with each Y; ~ N(µ2,0²). We will assume that u1, 42 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 : µ1 = 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= ~ t12, where d is the mean and S is the sample variance of paired differences di = x; – Yi, i =1,., 13. Sa//12 O b. Z = X-Ý N(0, 1), where o² = 6.04. o?V1/n,+1/nz X-Ý SV1/n+1/nz О с. Т% n tritn-2, where S is the pooled estimate of variance.

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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a) the appropriate test statistic 
b) observed value
c) p value and what it suggests about the strength of the evidence

Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(µ1,0²) and Y1,..., Y, with each Y; ~ N(µ2, 0²). We will assume that u1, l2 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 : µi = 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= Sal/T2 n t12, where d is the mean and S is the sample variance of paired differences d; = Xị – Yi, i = 1,..., 13. O b. Z = X-Ý N(0,1), where o² = 6.04. o? V1/n+1/n, О с. Т%- X-Y v trtn-2, where S is the pooled estimate of variance. S,/1/n+1/nz
Transcribed Image Text:Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(µ1,0²) and Y1,..., Y, with each Y; ~ N(µ2, 0²). We will assume that u1, l2 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 : µi = 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= Sal/T2 n t12, where d is the mean and S is the sample variance of paired differences d; = Xị – Yi, i = 1,..., 13. O b. Z = X-Ý N(0,1), where o² = 6.04. o? V1/n+1/n, О с. Т%- X-Y v trtn-2, where S is the pooled estimate of variance. S,/1/n+1/nz
The p-value suggests that there is strong evidence against the null hypothesis. Select one: O True False
Transcribed Image Text:The p-value suggests that there is strong evidence against the null hypothesis. Select one: O True False
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