Document files .doc.docx .epub .gdoc.odt.oth .ott.pdf.rtfLet X denote the weight of patients admitted at SQU Hospital. Based on the recorded data, a medical staff claimedthat the mean of the weight is greater than 77 Kg. Suppose that X follows Normal distribution N(u, o? = 25). Arandom sample of size n = 36 patients has been selected.oftion1. [1.] Write the null and alternative hypothesis for testing the above claim2. [2.] Suppose now the critical region of the test: C = {(x1, x2,..., 36): X > 79}O [(a)] Compute the power function K(u) of this test.o [[b)] Compute the significance level of this test.o [[C)] Calculate the values K(79) and K(81).o [[d)] Calculate the probability of committing type II error when u = 80.O [[e)] Calculate the corresponding p-value to X = 78.5.В IWParagraph2:06 PMAR06/01/2021Pshp!! on 6Let X1X be a random sample from Exponential distribution with parameter B > 0. Let T = X,red...d out of1. [1.] We want to construct a confidence interval for the parameter 8o [[a)] Find the distribution of T. Hint: Exponential(B) has the same distribution as Gamma(a = 1, 3)2o [[b)] Find the distribution of the statistic T and write it as a y?- distribution.questionO [[C)] If n = 15 and T =45, construct a 95% confidence interval for B. Hint: Find two constants a and bsatisfying: P (a < 4

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Let X denote the weight of patients admitted at SQU Hospital. Based on the recorded data, a medical staff claimed that the mean of the weight is greater than 77 Kg. Suppose that X follows Normal distribution N(µ, o² = 25). A random sample of size n = 36 patients has been selected. 1. [1.] Write the null and alternative hypothesis for testing the above claim 2. [2.] Suppose now the critical region of the test: C = {(¤1, T2, ..., 36) : X > 79} O [[a)] Compute the power function K(u) of this test. hic toct

Let X denote the weight of patients admitted at SQU Hospital. Based on the recorded data, a medical staff claimed that the mean of the weight is greater than 77 Kg. Suppose that X follows Normal distribution N(µ, o² = 25). A random sample of size n = 36 patients has been selected. 1. [1.] Write the null and alternative hypothesis for testing the above claim 2. [2.] Suppose now the critical region of the test: C = {(¤1, T2, ..., 36) : X > 79} O [[a)] Compute the power function K(u) of this test. hic toct

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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