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. i. State, in symbols, the null and alternate hypotheses for this test. 11. State, with reasons, whether a t-test or a z-test will be appropriate. (Determine the rejection region(s) of the test. 111.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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.
i.
State, in symbols, the null and alternate hypotheses for this test.
11.
State, with reasons, whether a t-test or a z-test will be appropriate.
111.
(Determine the rejection region(s) of the test.
Transcribed Image Text: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. i. State, in symbols, the null and alternate hypotheses for this test. 11. State, with reasons, whether a t-test or a z-test will be appropriate. 111. (Determine the rejection region(s) of the test.
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