A machine is used to fill packets with rice. The weight of the contents in each packet is X grams. X isnormally distributed with mean u grams and standard deviation 3.71 grams. The packets are labelledas containing 500 g. To check this statement, a sample of 13 packets is selected, and the meancontents iis calculated.The hypotheses for the test are: H,:µ=500 g and H:µ# 500 g.H, will be rejected if i< 498 or 2 502. Otherwise, H, will be accepted.a. State the critical region for the hypothesis test.b. Find the significance level.c. Find the power of the test given that the true value of p is 498.4 grams.

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A machine is used to fill packets with rice. The weight of the contents in each packet is X grams. X is normally distributed with mean u grams and standard deviation 3.71 grams. The packets are labelled as containing 500 g. To check this statement, a sample of 13 packets is selected, and the mean contents ī is calculated. The hypotheses for the test are: H,:µ=500 g and H:µ # 500 g. H. will be rejected if i< 498 or I2 502. Otherwise, H,will be accepted. a. State the critical region for the hypothesis test. b. Find the significance level. c. Find the power of the test given that the true value of u is 498.4 grams.

A machine is used to fill packets with rice. The weight of the contents in each packet is X grams. X is normally distributed with mean u grams and standard deviation 3.71 grams. The packets are labelled as containing 500 g. To check this statement, a sample of 13 packets is selected, and the mean contents ī is calculated. The hypotheses for the test are: H,:µ=500 g and H:µ # 500 g. H. will be rejected if i< 498 or I2 502. Otherwise, H,will be accepted. a. State the critical region for the hypothesis test. b. Find the significance level. c. Find the power of the test given that the true value of u is 498.4 grams.

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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Question

A machine is used to fill packets with rice. The weight of the contents in each packet is X grams. X is
normally distributed with mean u grams and standard deviation 3.71 grams. The packets are labelled
as containing 500 g. To check this statement, a sample of 13 packets is selected, and the mean
contents iis calculated.
The hypotheses for the test are: H,:µ=500 g and H:µ# 500 g.
H, will be rejected if i< 498 or 2 502. Otherwise, H, will be accepted.
a. State the critical region for the hypothesis test.
b. Find the significance level.
c. Find the power of the test given that the true value of p is 498.4 grams.

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