Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 29 Sep 2017 My Price 10.00

degrees of freedom

Refer to Exercise 7.34. Suppose that F has an F distribution with ν1 = 50 numerator degrees of freedom and ν2 = 70 denominator degrees of freedom. Notice that Table 7, Appendix 3, does not contain entries for 50 numerator degrees of freedom and 70 denominator degrees of freedom.

a What is E(F)?

b Give V(F).

c Is it likely that F will exceed 3?

Exercise 7.34

Suppose that W1 and W2 are independent χ2-distributed random variables with ν1 and ν2 df, respectively. According to Definition 7.3,

has an F distribution with ν1 and ν2 numerator and denominator degrees of freedom, respectively. Use the preceding structure of F, the independence of W1 and W2, and the result summarized in Exercise 7.30(b) to show

 

Exercise 7.30(b)

b According to the result derived in Exercise 4.112(a), if Y has a χ2 distribution with ν df, then

 

Use this result, the result from part (a), and the structure of T to show the following.

 

Table 7

               

               

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Maurice Tutor
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Status NEW Posted 29 Sep 2017 08:09 PM My Price 10.00

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