A10 Assume we have observed x₁, . . . , xn € R which can be modelled as independent randomvariables X₁,....,..., Xn Pe, distributed according to a distribution with parameter 0. Let[U,V] be a confidence interval with confidence level 1-a for 0. Which of the followingstatements is always true?A: P(0 € [U,V]) ≤ 1 - aD: P(0 € [U,V]) = aCircle the correct letter:B: 0 € [U,V]ABC: P(0 € [U, V]) ≥ 1 - a= 1-aE: P (0 € [U,V])C D E

The confidence interval [U,V] with confidence level 1-a is constructed such that the probability of…

Answered: A10 Assume we have observed x₁, ..., n…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X denote the mean of a random sample size n from distribution that has mean U and variance o = 10. Find the sample size n, so that the probability is approximately =0.954 %3D that the random interval X -5,X+5 | contains U is Select one: a. n=100 b. n= 40 C. n = 80 d. n = 160
both subparts please 1 and 2 thank you!!
The joint distribution of the pair of random variables as given in the following table: 0 Y 1 2 -10 X 0 10 0.2 0.1 0 0.066 0.046 0.052 0.072 0.042 O No answer 0.1 0.2 0 0.1 0.1 0.2 A random sample of 4 is taken of the random variable X. What is pZX₁/425? (EX//425) ²
18
Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test Ho : HA = Ha VS H. : HA # Hg using the fact that Group A has 8 cases with a mean of 125 and a standard deviation of 18 while Group B has 15 cases with a mean of 118 and a standard deviation of 14. (a) Give the test statistic and thep-value. Round your answer for the test statistic to two decimal places and your answer for the p- value to three decimal places. test statistic = p-value = eTextbook and Media (b) What is the conclusion of the test? Test at a 10% level. O Reject Ho. O Do not reject Ho. eTextbook and Media
Let X,, X,, and x, represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent, normal rv's with expected values 4,, Hz, and uz and variances o,2, 0,2, and o,2, respectively. (Round your answers to four decimal places.) A USE SALT 2 (a) If H1 = H2 = H3 = 60 and o,? = 0,2 . = 18, calculate P(T, s 204) and P(144 s T, s 204). P(T, s 204) = 0.9995 P(144 s T,s 204) = (b) Using the us and os given in part (a), calculate both P(54 s X) and P(58 s Xs 62). P(54 s X) P(58 s Xs 62) = 0.568 0.568 %3D (c) Using the u's and o's given in part (a), calculate P(-12 s X, - 0.5X2 - 0.5X3 s 6). P(-12 s X, - 0.5X, - 0.5x, s 6) = 0.8665
5.STATISTICAL INFERENCE
Tests the claim that 1 # p2. Assume the samples are normally distributed, random and independent. of + o S1 =0.77 ; s2 = 0.82 E1 = 48.92 ; z2 = 48.94 n1 = 24; n2 = 31 a. Calculate the Standard Error s-, = (use 3 decimal places) (use 2 decimal places) b. Calculate the t-test statistic using the standard error from part a. t = c. What are the degrees of freedom? df %3! d. At a = 0.02, Use the distribution table to find the critical values for the rejection region t = ± (use 4 decimal places) e. What is your conclusion? O Fail to reject the null hypothesis and do not support the claim O Reject the alternative hypothesis and support the claim O Accept the null hypothesis and support the claim O Reject the null hypothesis and support the claim O Accept the alternative hypothesis and reject the claim
Given two normal random variables: X-Normal(u=6,0-15) and Y-Normal(u=15,0=3). What can be said about the points x-21 and y=21 when plotted in a STANDARD normal distribution? [Select] [ Select] x and y both lie on the right side of the distribution x and y are equal x and y both lie on the left side of the distribution • Previous x is to the right of y Next >
Show full answers and steps to this exercise Please don’t use R or excel formula to calculate E(X) and variance. Use normal formula to get to the numbers
Test the claim about the difference between two population means µ, and H2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H, sH2; a = 0.10. Assume o #o3 Sample statistics: X1 = 2413, s, = 177, n, = 13 and X2 = 2308, s2 = 55, n2 = 10 %3D Hạ: H1 H2 Find the standardized test statistic t.
Let x,, X2, and X3 represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent, normal rv's with expected values u1, Hz, and uz and variances o,?, 022, and o32, respectively. If H1 = H2 = H3 = 50 and o14 = 02 = 03 = 18, calculate P(T, S 168) ( round your answer to three decimal places)

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