Two machines used for cutting steel are calibrated to cut exactly the same lengths. To test this hypothesis, each machine is used to cut 10 pieces of steel. These pieces are then measured (with negligible measuring error). Suppose the resulting data are as follows: Machine 1 Machine 2] Machine 1 Machine 2 122.40 122.36 121.76 122.40 123.12 121.88 122.31 122.12 122.51 122.20 123.20 121.78 123.12 122.88 122.48 122.85 122.55 123.43 121.96 123.04 Assume that it is known that the standard deviation of the length of a cut (made by either machine) is equal to 0.50. (a) Test the hypothesis that the machines are set at the same value, that is, that the mean lengths of their cuttings are equal. Use the 5 per- cent level of significance. (b) Find the p value.
Two machines used for cutting steel are calibrated to cut exactly the same lengths. To test this hypothesis, each machine is used to cut 10 pieces of steel. These pieces are then measured (with negligible measuring error). Suppose the resulting data are as follows: Machine 1 Machine 2] Machine 1 Machine 2 122.40 122.36 121.76 122.40 123.12 121.88 122.31 122.12 122.51 122.20 123.20 121.78 123.12 122.88 122.48 122.85 122.55 123.43 121.96 123.04 Assume that it is known that the standard deviation of the length of a cut (made by either machine) is equal to 0.50. (a) Test the hypothesis that the machines are set at the same value, that is, that the mean lengths of their cuttings are equal. Use the 5 per- cent level of significance. (b) Find the p value.
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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Question
![Two machines used for cutting steel are calibrated to cut exactly the same
lengths. To test this hypothesis, each machine is used to cut 10 pieces of
steel. These pieces are then measured (with negligible measuring error).
Suppose the resulting data are as follows:
Machine 1 Machine 2 Machine 1 Machine 2
122.40
122.36 121.76
122.40
123.12
121.88
122.31
122.12
122.51
122.20 123.20
121.78
123.12
122.88
122.48
122.85
122.55
123.43 121.96
123.04
Assume that it is known that the standard deviation of the length of a cut
(made by either machine) is equal to 0.50.
(a) Test the hypothesis that the machines are set at the same value, that
is, that the mean lengths of their cuttings are equal. Use the 5 per-
cent level of significance.
(b) Find the p value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9d82ec6-28cc-4a62-97f3-f59dafcc99ee%2F2d0f6e82-cc9c-4b68-8558-caf2ca2bf383%2Fiau4e8v_processed.png&w=3840&q=75)
Transcribed Image Text:Two machines used for cutting steel are calibrated to cut exactly the same
lengths. To test this hypothesis, each machine is used to cut 10 pieces of
steel. These pieces are then measured (with negligible measuring error).
Suppose the resulting data are as follows:
Machine 1 Machine 2 Machine 1 Machine 2
122.40
122.36 121.76
122.40
123.12
121.88
122.31
122.12
122.51
122.20 123.20
121.78
123.12
122.88
122.48
122.85
122.55
123.43 121.96
123.04
Assume that it is known that the standard deviation of the length of a cut
(made by either machine) is equal to 0.50.
(a) Test the hypothesis that the machines are set at the same value, that
is, that the mean lengths of their cuttings are equal. Use the 5 per-
cent level of significance.
(b) Find the p value.
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