Consider a pair of random variables (X, Y) with unknown distribution. Assume thedifference D = X - Y is normal with D~ N(D, o). Suppose we are given the followingsample data for (X, Y)²:(16.9, 20.5) (23.6, 29.2) (16.2, 22.8)(14.6, 21)(22.8, 26.6) (12.7, 17.1)Compute a 95% confidence interval of µp=¹For comparison, the actual value is u 11.7.2For comparison, the actual value is µp = −5.3.1(23.1, 28.2)(18.1, 24)(i) using the knowledge that of = 1.3;(ii) assuming we do not know the value of op.(26, 29.9)(22.5, 28.3)(17.3, 22.4)

Answered: Consider a pair of random variables (X,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s? is 25 and 4o : 10.5. Suppose we now want to test Ho : o? = of versus H1 : o? + of. Which of these test statistics should we use? Select one: (n-1)s? W = of a. O b. Z %3D O c. T= S/n Let o = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places. What is the p-value of the (appropriate) observed test statistic for testing Ho : o? = of versus H1 : o? + of you just computed? Give answer to three decimal places.
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Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean i is 8.9. the observed sample variance s is 25 and µo = 10.5. Suppose we now want to test Ho : o² = of versus H1 : o? + of. Which of these test statistics should we use? Select one: O a. W = (n-1)s O b. Z X-P O c. T = S/n Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places.
can you please provide explanations
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