-------------- (i)
Now, , n = 50 , and
Substituting in (i) we get,
Therefore,
Suppose x has a distribution with u = 25 and o = 20. (a) If a random sample of size n = 50 is drawn, find ui, o j and P(25 sxs 27). (Round Oy to two decimal places and the probability to four decimal places.) My = 25 0x = 2.83 P(25 sxs 27) = x (b) If a random sample of size n = 68 is drawn, find us, o x and P(25 sxs 27). (Round og to...
3 of 27 (1 complete) This Test: 27 pts pos This Question: 1 pt Suppose you want to test the claim that p, >H,. Two samples are randomly selected from each population. The sample statistics are given below. At a level of significance of a= 0.01, when should you reject H, ? n, = 100, n, = 125, x, = 555, x, = 540, a, =45, a, = 25 O A. Reject H, if the standardized test statistic is greater...
Q2: Suppose that X-N(O, 1), U-N(O, 0.25), Y 3- 2X and Z following questions. 2 X +U. Please answer the Compute E(Y), E(Z), Var(Y) and Var(Z). What are the distributions of Y and Z? Using R, draw 50 independent realizations of X and U. Using those values, create 50 realizations of Y and Z. (NOTE: set the seed for random number generation in R. Before your code type set.seed 123))
Please answer all D Question 27 1 pts A politician claims that for the adult population of one town, the mean annual salary is u-$30,000 Sample data is collected: n-47, - $22,298, and s-$14,200. Use a significance level of a -0.10 to state the correct rejection region for a test of the claim. Time Attem 1 Ho eus 24/7 Reject Hoifz > 1.96 or z < -1.96. 5 Reject Hoitz < -2.576. Reject Ho if z > 1.96 Reject Ho...
This Question: 1 pt Suppose you want to test the claim that u#3.5. Given a sample size of n= 51 and a level of significance of a = 0.05, when should you reject Ho? A. Reject Ho if the standardized test statistic is greater than 1.645 or less than - 1.645. B. Reject Ha if the standardized test statistic is greater than 1,96 or less than - 1.96. C. Reject Ho if the standardized test statistic is greater than 2.575...
Calculate the value of ∆U at 25°C for the reaction equation: N₂ (g) + 2 O₂ (g) → 2 NO₂ (g) ∆H = 66.4 kJ
Consider a normal population with mean u = 20 and standard deviation o = 6. Assume that a random sample of size n = 15 from a population. The sample mean and sample standard deviation are X and S, respectively. Determine a such that X – 20 Р Com sa) 0.05. 0/V15 A. -1.753 B. -1.761 C. 1.753 D. 1.761 E. -1.645
1. (50 points) Suppose X1, ..., Xn form a random sample from a N(u,02) distribution with p.d.f. Fe 202, for – V2110 <x< . Assume that o = 2 is known. a) (10 points) Derive the 90% confidence interval for u that has the shortest length. You must show all details including the pivot you use. b) (8 points) Show that the sample mean is an efficient estimator for u. Assume in (c)- (f) that the prior distribution of u...
QUESTION 21 ng actual vatus x1-2, x2 . 4. y-20. Th-senats tho s + 5x 1 + 2x 2 An observation has the bl A multiple linear regression model was fitted as 9-10 OA 28 O B 18 o cs O E Cannot be determined
Let A, B, and be subsets of a universal set U and suppose n(U) - 200, n(A) -21, n(B) = 23, (C) -27, [ AB) - 7, n(ANC) - 10, n(BC) - 13, and ( ABN) - 3. Compute: (a) MAN (BUCI (b) AN (BU09