(i) Determine the 90% confidence interval for the true mean time from the model. (ii) Suppose the measurements from the real system gave a mean figure of 22 minutes, what would you conclude about the validity of the model?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Please assist me in answering this simulation and modelling question
A company manufactures components for
the computer industry and has developed
a model of one of its production systems.
The measure of interest is the time that
a component has to wait in one of the
processes. The production process operates
12 hours a day and the system starts each day
in the empty state. The model was run 100
times and the mean times the component
had to wait is 29.3 minutes with a standard
deviation of 2.94 minutes.
(i) Determine the 90% confidence interval for
the true mean time from the model.
(ii) Suppose the measurements from the real
system gave a mean figure of 22 minutes,
what would you conclude about the validity
of the model?
Transcribed Image Text:A company manufactures components for the computer industry and has developed a model of one of its production systems. The measure of interest is the time that a component has to wait in one of the processes. The production process operates 12 hours a day and the system starts each day in the empty state. The model was run 100 times and the mean times the component had to wait is 29.3 minutes with a standard deviation of 2.94 minutes. (i) Determine the 90% confidence interval for the true mean time from the model. (ii) Suppose the measurements from the real system gave a mean figure of 22 minutes, what would you conclude about the validity of the model?
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