An automatic coffee filling process is in control when the average amount of instant coffee that is poured into a jar is8 oz and the standard deviation is 0.2 oz. A simple random sample of 100 jars is selected and the sample average is foundto be x = 8.1 oz. Assuming the standard deviation of the process is still 0.2 oz, is the process out of control (pouring toomuch coffee into the jars) after specifying the following:(i) State your null and alternative hypotheses. (ii) State your level of significance.(iii) Specify any assumptions you made while reaching at your conclusion.The following`answers" have been proposed.(a) (i) Ho : µ < 8, versus H1 :µ > 8.(ii) We will use a = 0.05.(iii) We will assume that the fill amount is normally distributed. We will reject Ho if Zstat > 1.645. In our caseХn —8Zstat == 5.0 > 1.645.ol nSo, the evidence suggests that Họ should be rejected.(b) (i) Ho : µ < 8, versus H1 :µ > 8.(ii) We will use a = 0.01.(iii) We will assume that the fill amount is normally distributed. We will reject Ho if Zstat > 1.645. In our caseXn – 8Zstat == 5.0 > 1.645.ol ynSo, the evidence suggests that Họ should be rejected.(c) (i) Ho : µ < 8, versus H1 :4 > 8.(ii) We will use a = 0.001.(iii) We will assume that the fill amount is normally distributed. We will reject Ho if Zstat > 1.96. In our caseXn- 8Zstat == 5.0 < 1.96.ol nSo, the evidence suggests that Họ should not be rejected.(d) (i) Ho : µ < 8, versus H1 : µ > 8.(ii) We will use a = 0.05.(iii) We will assume that the fill amount is normally distributed. We will reject Ho if Zstat > 0.05. In our caseXn - 8= 5.0 > 0.05.Zstat =ol ynSo, the evidence suggests that Họ should be rejected.(e) None of the above.The correct answer is(а)(b)(c)(d)(e)N/A(Select One)

The process is in control when the average amount of instant coffee that is poured into a jar is 8…

Answered: An automatic coffee filling process is…

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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