10.1.4 A polymer is manufactured in a batch chemical process. Viscosity measurements are normally made on each batch, and long experience with the process has indicated that the variability in the process is fairly stable with o = 20. Fifteen batch viscosity measurements are given as follows: 724, 718, 776, 760, 745, 759, 795, 756, 742, 740, 761, 749, 739, 747, 742 A process change that involves switching the type of catalyst used in the process is made. Following the process change, eight batch viscosity measurements are taken: 735, 775, 729, 755, 783, 760, 738, 780 Assume that process variability is unaffected by the catalyst change. If the difference in mean batch viscosity is 10 or less, the manufacturer would like to detect it with a high probability. a. Formulate and test an appropriate hypothesis using α = 0.10. What are your conclusions? Find the P-value. b. Find a 90% confidence interval on the difference in mean batch viscosity resulting from the process change. c. Compare the results of parts (a) and (b) and discuss your findings.
10.1.4 A polymer is manufactured in a batch chemical process. Viscosity measurements are normally made on each batch, and long experience with the process has indicated that the variability in the process is fairly stable with o = 20. Fifteen batch viscosity measurements are given as follows: 724, 718, 776, 760, 745, 759, 795, 756, 742, 740, 761, 749, 739, 747, 742 A process change that involves switching the type of catalyst used in the process is made. Following the process change, eight batch viscosity measurements are taken: 735, 775, 729, 755, 783, 760, 738, 780 Assume that process variability is unaffected by the catalyst change. If the difference in mean batch viscosity is 10 or less, the manufacturer would like to detect it with a high probability. a. Formulate and test an appropriate hypothesis using α = 0.10. What are your conclusions? Find the P-value. b. Find a 90% confidence interval on the difference in mean batch viscosity resulting from the process change. c. Compare the results of parts (a) and (b) and discuss your findings.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Transcribed Image Text:10.1.4 A polymer is manufactured in a batch chemical process.
Viscosity measurements are normally made on each batch, and
long experience with the process has indicated that the variability
in the process is fairly stable with o = 20. Fifteen batch viscosity
measurements are given as follows:
724, 718, 776, 760, 745, 759, 795, 756, 742, 740, 761, 749,
739, 747, 742
A process change that involves switching the type of catalyst used
in the process is made. Following the process change, eight batch
viscosity measurements are taken:
735, 775, 729, 755, 783, 760, 738, 780
Assume that process variability is unaffected by the catalyst
change. If the difference in mean batch viscosity is 10 or less,
the manufacturer would like to detect it with a high probability.
a. Formulate and test an appropriate hypothesis using
α = 0.10. What are your conclusions? Find the P-value.
b. Find a 90% confidence interval on the difference in mean
batch viscosity resulting from the process change.
c. Compare the results of parts (a) and (b) and discuss your
findings.
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