5. Let X have the T distribution with n degrees of freedom (abbreviated X = T(n)). Show that T2(n) = F(1, n),in other words, T2 has an F distribution with 1 and n degrees of freedom.
5. Let X have the T distribution with n degrees of freedom (abbreviated X = T(n))....
please help me 4. Let Xhave a r distribution with r >4 degrees of freedom. Find the kurtosis of X 5. Let X have an F distribution with parameters 3 and 5. Find the second moment of X 6. Find the skewness of X in 7. Let X have a t distribution with r degrees of freedom. Show that X is F with 5 A IS parameters 1 and r EN
Let T have a (Student's) t distribution with 10 degrees of freedom. If P(T < k) = 0.95, what is the value of k? Let mu be the unknown mean of a Normal distribution. I take 20 observations randomly from this distribution, and want to test H0: mu = 15 vs H1: mu is not equal to 15 at the 5% level of significance. If I observe a p-value of 0.11, what decision can I make? Write mu for the...
The t distribution: Select one: a. has n -1 degrees of freedom b. is symmetric c. approaches a normal distribution as n becomes large d. all of the above
proof for distribution of (n-1)S^2/sigma^2 is the chi square distribution with n-1 degrees of freedom. I don't understand the expansion of the square, specifically how certain terms disappeared and how a sqrt(n) appeared. Also towards the end, why does V have a degree of freedom of 1? x A detailed explanation of what happened from step 2 to step 3 would be very helpful! THEOREM B The distribution of (n − 1)S2/02 is the chi-square distribution with n – 1...
If T has the Student's t distribution with 5 degrees of freedom, find P(T > -0.2). (Hint: try ?pt.)
10) Suppose that X follows a chi-square distribution with m degrees of freedom and S=X+Y. Given that S follows a chi-square distribution with m+n degrees of freedom, and X and Y are independent, show that y follows a chi-square distribution with n degrees of freedom.
The shape of which distribution is not controlled by the degrees of freedom? F t Which of the following accurately represents characteristics of the x2 distribution? There may be more than one correct answer, select all that are correct. The degrees of freedom for a Chi-square test of independence are k-1. As the degrees of freedom increase, the critical value of the chi-square distribution becomes larger. | It can assume both negative and positive values. The Chi-square goodness-of-fit test is...
T or F? The student's-t distribution tends toward the Normal distribution with large degrees of freedom.
QUESTION6 To select the correct Student's t-distribution requires knowing the degrees of freedom. How many degrees of freedom are there for a sample of size n? On+1 7 On-1 7
4. Let 8 >0. Let X, X2,..., X, be a random sample from the distribution with probability density function S(*;ð) - ma t?e-vor x>0, zero otherwise. Recall: W=vX has Gamma( a -6, 0-ta) distribution. Y=ZVX; = Z W; has a Gamma ( a =6n, = ta) distribution. i=1 E(Xk) - I( 2k+6) 120 ok k>-3. 42 S. A method of moments estimator of 8 is 42.n 8 = h) Suggest a confidence interval for 8 with (1 - 0) 100%...