Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(µ1,o²) and Y1,..., Y,, with each Y; ~ We will assume that u1, µ2 and o? are unknown. N(µ2, 0²)- We are given = 10.1, ỹ = 7.1, s = 5.5 and s, = 6.4, with nı = 13 and n2 = 19. Suppose we want to formally test the assumption that the variances of the the two populations the samples come from are equal. What is the test statistic we should use? Select one: O a. (n,–1)S? W = 6.4 ~ F"-1 s Ob. F = O c. W = (nz–1)S; 5.5 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 of We will now compute a 95% confidence interval for the ratio of - Here, we are no longer assuming equal variances, so o? denotes the population variance of each X; and o? denotes the population variance of each Y;. What is the lower endpoint of this confidence interval? Give answer to 3 decimal places. What is the upper endpoint of this confidence interval?
Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(µ1,o²) and Y1,..., Y,, with each Y; ~ We will assume that u1, µ2 and o? are unknown. N(µ2, 0²)- We are given = 10.1, ỹ = 7.1, s = 5.5 and s, = 6.4, with nı = 13 and n2 = 19. Suppose we want to formally test the assumption that the variances of the the two populations the samples come from are equal. What is the test statistic we should use? Select one: O a. (n,–1)S? W = 6.4 ~ F"-1 s Ob. F = O c. W = (nz–1)S; 5.5 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 of We will now compute a 95% confidence interval for the ratio of - Here, we are no longer assuming equal variances, so o? denotes the population variance of each X; and o? denotes the population variance of each Y;. What is the lower endpoint of this confidence interval? Give answer to 3 decimal places. What is the upper endpoint of this confidence interval?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Transcribed Image Text:- N(µ1, 0²) and Y1,..., Yn, with each Y; ~ N(µ2,0²).
Suppose we observe two independent random samples X1,..., Xn, with each X;
We will assume that u1, lz and o are unknown.
We are given a = 10.1, ĝ = 7.1, s? = 5.5 and s?, = 6.4, with n1 = 13 and n2 = 19.
Suppose we want to formally test the assumption that the variances of the the two populations the samples come from are equal. What is the
test statistic we should use?
Select one:
O a.
(n1-1)S
W =
2.
6.4
~ Fr-1
ng-1
Ob.
F
W =
(ng-1)s
5.5
О с. Т—
t12, where d is the mean and S? is the sample variance of paired differences d; = x; – Yiz i = 1,..., 13.
Sa/ V12
We will now compute a 95% confidence interval for the ratio of
Here, we are no longer assuming equal variances, so o? denotes the
population variance of each X; and o? denotes the population variance of each Y;.
What is the lower endpoint of this confidence interval? Give answer to 3 decimal places.
What is the upper endpoint of this confidence interval?
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