(b)(c)Let's supposeh is true for each of thebottling plants. For how many of the40bottling plants, on average, we wouldexpecth is it rejected?Suppose again thath is true for each of the bottling plants. Would it be surprising thath will be rejected for4of the40bottling plants? Choose the best answer from the options given.O It would be surprising, since4is much larger than the number of hypothesis tests that we expect, onaverage, to result in the rejection ofh when it's actually true.It would not be surprising, since4is less than or equal to the number of hypothesis tests that we expect,on average, to result in the rejection ofh when it's actually true.×G A soft drink company has many bottling plants across the country. Based on its records, the company believes that an average of3. 4b6ttles out of a millionbreak during the bottling process. Suppose that for an internal audit, the company selects40of its bottling plants and examines each one for evidence, at thesignificance level of0.10, that the number of broken bottles per million in the plant is significantly different fromµ=3. 4. That is, in each of the bottling plants, anindependent hypothesis test is carried out, each with a null hypothesis.h and alternative hypothesish in the following way.ho: μ = 3.4.5h₁: μ‡3.4.5(to) For any one of the bottling plants, what is the probability that is rejected when in fact it is true?(b) Let's suppose is true for each of thebottling plants. For how many of the40bottling plants, on average, we wouldexpecth is it rejected?0(c)Suppose again thath is true for each of the bottling plants. Would it be surprising thath will be rejected for4of the40bottling plants? Choose the best answer from the options given.XŚ

H0:μ=345H0:μ≠345α=0.10n=40

Answered: A soft drink company has many bottling…

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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Past records suggest that the mean annual income, µ,, of teachers in state of New York is less than or equal to the mean annual income, µ,, of teachers in Illinois. In a current study, a random sample of 15 teachers from New York and an independent random sample of 15 teachers from Illinois have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars New York 46406, 43039, 47083, 47056, 46810, 47074, 43524, 59524, 49763, 48083, 46100, 53904, 43171, 44341, 52229 Illinois 53010, 43485, 39037, 47622, 47151, 50372, 41401, 35007, 40591, 49268, 44782, 39668, 52555, 49976, 49207 The population standard deviation for mean annual income of teachers in New York and in Illinois are estimated as 6600 and 6200, respectively. It is also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of New York is…
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