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Question 14 A machine fills milk into 1000ml packages. It is suspected that the machine is not working correctly and that the amount of milk filled differs from the set-point Ho = 1000. A sample of 167 packages filled by the machine is collected. The sample mean y, is equal to 1099 and the sample variance S is equal to 1194.75. We want to test the two-sided hypothesis that the amount filled corresponds on average to the set-point. Assume the sample is taken from N (µ, o²). What is the value of the test statistic? -41.244 O-76.345 O 37.013 O-77.548 O 20.845

Question 14 A machine fills milk into 1000ml packages. It is suspected that the machine is not working correctly and that the amount of milk filled differs from the set-point Ho = 1000. A sample of 167 packages filled by the machine is collected. The sample mean y, is equal to 1099 and the sample variance S is equal to 1194.75. We want to test the two-sided hypothesis that the amount filled corresponds on average to the set-point. Assume the sample is taken from N (µ, o²). What is the value of the test statistic? -41.244 O-76.345 O 37.013 O-77.548 O 20.845

MATLAB: An Introduction with Applications
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 14 A machine fills milk into 1000ml packages. It is suspected that the machine is not working correctly and that the amount of milk filled differs from the set-point Ho = 1000. A sample of 167 packages filled by the machine is collected. The sample mean y, is equal to 1099 and the sample variance S is equal to 1194.75. We want to test the two-sided hypothesis that the amount filled corresponds on average to the set-point. Assume the sample is taken from N(u, o²). What is the value of the test statistic? O-41.244 O-76.345 O 37.013 O-77.548 O 20.845 Question 16 The daily expenses of summer tourists in Vienna are analysed. A survey with 122 tourists is conducted. This shows that the tourists spend on average 184.8 EUR. The sample variance S is equal to 161.7. Of the intervals below, which one is a 95 confidence interval for the average daily expenses (in EUR) of a tourist (use large sample theory). O (181.320, 188.771) O(182.602, 186.167) O (182.544, 187.056) O (181.672, 187.616) O(183.564, 188.678)
Transcribed Image Text:Question 14 A machine fills milk into 1000ml packages. It is suspected that the machine is not working correctly and that the amount of milk filled differs from the set-point Ho = 1000. A sample of 167 packages filled by the machine is collected. The sample mean y, is equal to 1099 and the sample variance S is equal to 1194.75. We want to test the two-sided hypothesis that the amount filled corresponds on average to the set-point. Assume the sample is taken from N(u, o²). What is the value of the test statistic? O-41.244 O-76.345 O 37.013 O-77.548 O 20.845 Question 16 The daily expenses of summer tourists in Vienna are analysed. A survey with 122 tourists is conducted. This shows that the tourists spend on average 184.8 EUR. The sample variance S is equal to 161.7. Of the intervals below, which one is a 95 confidence interval for the average daily expenses (in EUR) of a tourist (use large sample theory). O (181.320, 188.771) O(182.602, 186.167) O (182.544, 187.056) O (181.672, 187.616) O(183.564, 188.678)
Question 17 Suppose that we have two random samples, one from N(u1,0) and the other from N(u2,0,). Identify the appropriate rejection region for testing Ho : o = o = 0, versus H1 :of # 05,a = 0.1,n¡ = 12,n2 = 16 and %3D %3D test statistic Sh Fe= Sh %3D Ofe > 14.8837 Ofe> 21.2674 Ofe > 23.5335 Ofe > 23.5335 or fe < 10.9779
Transcribed Image Text:Question 17 Suppose that we have two random samples, one from N(u1,0) and the other from N(u2,0,). Identify the appropriate rejection region for testing Ho : o = o = 0, versus H1 :of # 05,a = 0.1,n¡ = 12,n2 = 16 and %3D %3D test statistic Sh Fe= Sh %3D Ofe > 14.8837 Ofe> 21.2674 Ofe > 23.5335 Ofe > 23.5335 or fe < 10.9779
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