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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 dete mine whether the machine is in good working order. Assume that the diameter of the disc follows a normal distribution. i State, in symbok, the null and alternate hypotheses for this test. ii. State, with reasons, whether a t-test or a z test will be appropriate. (Determine the re jection region(s) of the test. Calculate the value of the test statis tic. iii. iv. V. State, with reason, a valid conclusion for the test.

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 dete mine whether the machine is in good working order. Assume that the diameter of the disc follows a normal distribution. i State, in symbok, the null and alternate hypotheses for this test. ii. State, with reasons, whether a t-test or a z test will be appropriate. (Determine the re jection region(s) of the test. Calculate the value of the test statis tic. iii. iv. V. State, with reason, a valid conclusion for the test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Question 2 a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 dis es ga ve 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 de te mine 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. i. ii. State, with reasons, whether a t-test or a z test will be appropriate. (Determine the re jec tion region(s) of the test. iii. iv. Calculate the value of the test statis tic. V. State, with reason, a valid conclusion for the test.
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 dis es ga ve 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 de te mine 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. i. ii. State, with reasons, whether a t-test or a z test will be appropriate. (Determine the re jec tion region(s) of the test. iii. iv. Calculate the value of the test statis tic. V. State, with reason, a valid conclusion for the test.
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