Question

9. The Student t, the chi-squared, and the F distributions

Use the following Distributions tool to help you answer the following questions.

0123Chi-SquareF DistributionNormalt DistributionUniform

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Suppose that random variable t follows a Student t distribution with degrees of freedom v = 21.

E(t) is--------------, and V(t) is--------------.

t_{0.01, 21} =-------------------   

P(t > 0.859) = --------------------

Suppose that random variable χ2 follows a chi-squared distribution with v = 9.

E(χ2) =------------, and V(χ2) = ---------------- .

χ2 _0.10,9 = ------------------- .

P(χ2 > 8.343) =---------------- .

Suppose that the random variable F follows an F distribution with 21 numerator degrees of freedom and 25 denominator degrees of freedom.

E(F) =------------------, and V(F) = --------------------- .

F_{0.01, 21, 25} =------------------------   

Suppose instead that F follows an F distribution with degrees of freedom v1v1 = 25 and v2v2 = 21. Without using the Distributions tool, what is the value of F_{0.99, ,25 ,21}?

a .0.374

b. 0.551

c. 0.245

d. 0.328

Answer 1