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.
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 13PPS
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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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