A manufacturing company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automat following data give the numbers of defective parts produced. Loading System Manual Automatic

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A manufacturing company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automatic feed system.
following data give the numbers of defective parts produced.
Loading System
Manual
Automatic
30
30
Machine 1
34
26
20
24
Machine 2
22
28
Use a = 0.05 to test for any significant effect due to machine, loading system, and interaction.
Find the value of the test statistic for machine. (Round your answer to two decimal places.)
Find the p-value for machine. (Round your answer to three decimal places.)
p-value =
State your conclusion about machine.
O Because the p-value > a = 0.05, machine is not significant.
O Because the p-value > a = 0.05, machine is significant.
O Because the p-value sa = 0.05, machine is significant.
O Because the p-value sa = 0.05, machine is not significant.
Find the value of the test statistic for loading system. (Round your answer to two decimal places.)
Find the p-value for loading system. (Round your answer to three decimal places.)
p-value =
State your conclusion about loading system.
O Because the p-value s a = 0.05, loading system is significant.
O Because the p-value > a = 0.05, loading system is significant.
O Because the p-value > a = 0.05, loading system is not significant.
O Because the p-value s a = 0.05, loading system is not significant.
Find the value of the test statistic for interaction between machine and loading system. (Round your answer to two decimal places.)
Find the p-value for interaction between machine and loading system. (Round your answer to three decimal places.)
p-value =
State your conclusion about interaction between machine and loading system.
O Because the p-value > a = 0.05, interaction between machine and loading system is not significant.
O Because the p-value s a = 0.05, interaction between machine and loading system is significant.
O Because the p-value sa = 0.05, interaction between machine and loading system is not significant.
O Because the p-value > a = 0.05, interaction between machine and loading system is significant.
Transcribed Image Text:A manufacturing company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automatic feed system. following data give the numbers of defective parts produced. Loading System Manual Automatic 30 30 Machine 1 34 26 20 24 Machine 2 22 28 Use a = 0.05 to test for any significant effect due to machine, loading system, and interaction. Find the value of the test statistic for machine. (Round your answer to two decimal places.) Find the p-value for machine. (Round your answer to three decimal places.) p-value = State your conclusion about machine. O Because the p-value > a = 0.05, machine is not significant. O Because the p-value > a = 0.05, machine is significant. O Because the p-value sa = 0.05, machine is significant. O Because the p-value sa = 0.05, machine is not significant. Find the value of the test statistic for loading system. (Round your answer to two decimal places.) Find the p-value for loading system. (Round your answer to three decimal places.) p-value = State your conclusion about loading system. O Because the p-value s a = 0.05, loading system is significant. O Because the p-value > a = 0.05, loading system is significant. O Because the p-value > a = 0.05, loading system is not significant. O Because the p-value s a = 0.05, loading system is not significant. Find the value of the test statistic for interaction between machine and loading system. (Round your answer to two decimal places.) Find the p-value for interaction between machine and loading system. (Round your answer to three decimal places.) p-value = State your conclusion about interaction between machine and loading system. O Because the p-value > a = 0.05, interaction between machine and loading system is not significant. O Because the p-value s a = 0.05, interaction between machine and loading system is significant. O Because the p-value sa = 0.05, interaction between machine and loading system is not significant. O Because the p-value > a = 0.05, interaction between machine and loading system is significant.
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