Question 2 a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 discs gave a mean diameter, x = 14.9 mm and a standard deviation, s= 1.33 mm. A test was carried out at the 5% level of significance to determine whether the machine is in good working order. Assume that the diameter of the disc follows a normal distribution. State, in symbols, the null and alternate hypotheses for this test. State, with reasons, whether a t-test or a z-test will be appropriate. (Determine the rejection region(s) of the test. i. ii. iii.
Question 2 a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 discs gave a mean diameter, x = 14.9 mm and a standard deviation, s= 1.33 mm. A test was carried out at the 5% level of significance to determine whether the machine is in good working order. Assume that the diameter of the disc follows a normal distribution. State, in symbols, the null and alternate hypotheses for this test. State, with reasons, whether a t-test or a z-test will be appropriate. (Determine the rejection region(s) of the test. i. ii. iii.
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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Transcribed Image Text:Question 2
a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 discs
gave a mean diameter, x = 14.9 mm and a standard deviation, s = 1.33 mm. A test was
carried out at the 5% level of significance to determine whether the machine is in good
working order. Assume that the diameter of the disc follows a normal distribution.
State, in symbols, the null and alternate hypotheses for this test.
State, with reasons, whether a t-test or a z-test will be appropriate.
(Determine the rejection region(s) of the test.
Calculate the value of the test statistic.
State, with reason, a valid conclusion for the test.
i.
ii.
iii.
iv.
V.
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What are the solutions for sub parts iv and v?
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