Assume that we have independent random samples of size n, and n, observations from normal populations with means 4 and u, and unequal variances. The sample variances S and s are used and the means are x and y. Which of the following formulae calculates the degree of freedom, v, for the Student's t statistic where variance is unknown and considered unequal? pIn A) V= : PIn B) 1= /m -1) - /(n -1) n,s -ns C) =- (n,-1)s -(n - 1)s (11-n-2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Assume that we have independent random samples of size n, and n observations from
normal populations with means u and , and unequal variances. The sample variances
s, and s are used and the means are x and y. Which of the following formulae
calculates the degree of freedom, v, for the Student's t statistic where variance is
unknown and considered unequal?
A) 1 =
P In
B) =
(n,-1) -
(n-1)
n s +n s
C) 1 =
(n-1)s -OL
1)s:
2)
Transcribed Image Text:Assume that we have independent random samples of size n, and n observations from normal populations with means u and , and unequal variances. The sample variances s, and s are used and the means are x and y. Which of the following formulae calculates the degree of freedom, v, for the Student's t statistic where variance is unknown and considered unequal? A) 1 = P In B) = (n,-1) - (n-1) n s +n s C) 1 = (n-1)s -OL 1)s: 2)
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