Please answer the following question related to G-test, likelihood ratio test
Let Y1, Y2, Y5), be independent random variables with probability distributions that areNormal(m, (:2 = 1). That is, 1 — % (1;;- —Hi, )2B f(yé|#é)=m i=11253 _OO<,U"E<+OO The null hypothesisis of homogeneity states that all 3 random variables have the same Normaldistribution, i.e., Ho : p1 = pig = M3 = a. The alternative hypothesis states that at least 2 ofthe m’s are different. (a) Please derive G2, — for testing the null hypothesis of homogeneityversus the alternative hypothesis. Simplify as much as possible. (RECALL: 221:1 K; = n?) (b) What is the large sample probability distribution for G2 in this problem?
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Let X1 X2 X 100 Denote The Actual Net Weights Of 100 Randomly Selected Sg Ib Bag
/in Uncategorized /by developerX1X2X100
Let X1. X2, . . . , X 100 denote the actual net weights of 100 randomly selected SG-Ib bags of fertilizer. (Give answers accurate to 3 decimal places.) (a) If the expected weight of each bag is 50 and the variance of X is 1.5. calculate P(49.9 S )7 S 50.1) (approximately) using the CLT. (b) If the expected weight is 49.8 lb rather than 50 In so that on average bags are underfilled. calculate P(49.9 S Y S 50.1}.
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Let X1 Xn Be A Random Sample From A Gamma Distribution With Parameter Alpha And
/in Uncategorized /by developerLet X1, …,Xn be a random sample from a gamma distribution with parameter alpha and beta.a. Derive the equations whose solution yields the mle of alpha and beta . Do you think they can be solvedexplicitly?b. Show that the mle of μ = alpha x beta is ˆμ = ¯x.
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Let X1 Xn Be A Random Sample From A Gamma Distribution With Parameters Alpha And
/in Uncategorized /by developerLet X1…Xn be a random sample from a gamma distribution with parameters alpha and beta. Derive the equations whose solution yields the maximum likelihood estimators of alpha and beta. do you think they can be solved explicitly? show that the mle of the mean = (alpha)x(beta) is mean(hat)=X(bar)?can i simply take the derivative of the gamma distribution and set it equal to zero and solve for alpha and beta to find the mle?Thanks.
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Let X2 12x 37 A Find The Vertex B State The Range Of The Function C On What Inte
/in Uncategorized /by developerneed help solving the following problem… Thank you in advanced
Let / ( * ) = x2 + 12x + 37.( a ) Find the vertex .( b ) State the range of the function .( C ) On what interval is the function decreasing ?
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Let Xn Be A Bounded Sequence Of Real Numbers Show That Xn Has A Convergent Subse
/in Uncategorized /by developerLet xn be a bounded sequence of real numbers. Show that xn has a convergent subsequence.
Answer:Given xn be a bounded sequence of real numbers, so there exist an interval [ a, b ] such thatan ﾣ xn ﾣ bn for all n . a+baSo, either 1 , 1 1 1 1 , b1…
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Let Y 2 2 X 2 A Find The X Intercept S Of The Graph Of The Equation If Any Ex
/in Uncategorized /by developerLet y = 2 – 2×2.
(a) Find the x-intercept(s) of the graph of the equation, if any exist. (work optional)
(b) Find the y-intercept(s) of the graph of the equation, if any exist. (work optional)
(c) a table of sample points on the graph of the equation (include at least six points), and a graph of the equation.
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Let Y1 Y2 Y3 Denote The Order Statistics Of A Random Sample Of Size 3 From A Dis
/in Uncategorized /by developerLet Y1 < Y2 < Y3 denote the order statistics of a random sample of size
3 from a distribution with pdf f(x) = 1, 0 < x < 1, zero elsewhere. Let Z =
(Y1 + Y3)/2 be the midrange of the sample. Find the pdf of Z
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Let Y1 Y2 Y5 Be Independent Random Variables With Probability Distributions That
/in Uncategorized /by developerPlease answer the following question related to G-test, likelihood ratio test
Let Y1, Y2, Y5), be independent random variables with probability distributions that areNormal(m, (:2 = 1). That is, 1 — % (1;;- —Hi, )2B f(yé|#é)=m i=11253 _OO<,U"E<+OO The null hypothesisis of homogeneity states that all 3 random variables have the same Normaldistribution, i.e., Ho : p1 = pig = M3 = a. The alternative hypothesis states that at least 2 ofthe m’s are different. (a) Please derive G2, — for testing the null hypothesis of homogeneityversus the alternative hypothesis. Simplify as much as possible. (RECALL: 221:1 K; = n?) (b) What is the large sample probability distribution for G2 in this problem?
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Let Z Be A Standard Normal Random Variable Use The Calculator Provided Or This T
/in Uncategorized /by developerLet Z
be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c
such that
=P≤−c≤Zc0.9534.
Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
Let Z N 0 1 I Z Is A Standard Normal Random Variable Find The Following Probabil
/in Uncategorized /by developer(a) P(Z ≥ 0.98)
(b) P(−1.1 ≤ Z ≤ 1.37)
(c) P(0.7 ≤ Z ≤ 1.7)
(d) P(−1.4 ≤ Z)
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"