Suppose that random variable t follows a Student t distribution with degrees of freedom v = 20. E(t) is , and V(t) is 0.05 20= (t > 0.687) : Suppose that random variable x? follows a chi-squared distribution with v = 5. E(x²) =, , and V(x?) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 9CR
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Use the following Distributions tool to help you answer the following questions.
F Distribution
Chi-Square
F Distribution
Normal
t Distribution
Uniform
0.0
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
AA
F
Suppose that random variable t follows a Student t distribution with degrees of freedom v = 20.
E(t) is
, and V(t) is
to.05 ,20 =
P(t > 0.687) =
Suppose that random variable y? follows a chi-squared distribution with v = 5.
E(x?) =▼
and V(x?) =
x20.005,5 =
P(x? > 6.626) =
Transcribed Image Text:Use the following Distributions tool to help you answer the following questions. F Distribution Chi-Square F Distribution Normal t Distribution Uniform 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 AA F Suppose that random variable t follows a Student t distribution with degrees of freedom v = 20. E(t) is , and V(t) is to.05 ,20 = P(t > 0.687) = Suppose that random variable y? follows a chi-squared distribution with v = 5. E(x?) =▼ and V(x?) = x20.005,5 = P(x? > 6.626) =
x²0.005,5 =,
P(x? > 6.626) =
Suppose that the random variable F follows an F distribution with 20 numerator degrees of freedom and 24 denominator degrees of freedom.
E(F) =
, and V(F) =
Fo.05 ,20,24 =
Suppose instead that F follows an F distribution with degrees of freedom v = 24 and v2 = 20. Without using the Distributions tool, what is the value
of Fo.95 ,24,20?
O 0.245
O 0.432
O 0.493
O 0.266
Transcribed Image Text:x²0.005,5 =, P(x? > 6.626) = Suppose that the random variable F follows an F distribution with 20 numerator degrees of freedom and 24 denominator degrees of freedom. E(F) = , and V(F) = Fo.05 ,20,24 = Suppose instead that F follows an F distribution with degrees of freedom v = 24 and v2 = 20. Without using the Distributions tool, what is the value of Fo.95 ,24,20? O 0.245 O 0.432 O 0.493 O 0.266
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,