Statistics gathered on delay at a machine on 196 different (and assumed independent) days yielded a sample mean of 3.0 min and a sample standard deviation of 1.4 min. (a) Construct a 95% confidence interval for the average delay. (b) Approximately how many more days of observations would be needed to make the size of the confidence interval around +0.1 min? A new machine is being considered to replace the present machine. (c) 100 simulation runs were conducted on the new machine, giving a sample mean of 3.3 min and a sample standard deviation of 1.2 min. Construct a 95% confidence interval for the difference between the two machines (assume the 100 simulation runs are independent of the original set of simulation runs) . Can you make any conclusions?

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Statistics gathered on delay at a machine on 196 different (and assumed
independent) days yielded a sample mean of 3.0 min and a sample standard
deviation of 1.4 min.
(a) Construct a 95% confidence interval for the average delay.
(b) Approximately how many more days of observations would be needed to
make the size of the confidence interval around +0.1 min?
A new machine is being considered to replace the present machine.
(c) 100 simulation runs were conducted on the new machine, giving a sample
mean of 3.3 min and a sample standard deviation of 1.2 min. Construct a 95%
confidence interval for the difference between the two machines (assume the 100
simulation runs are independent of the original set of simulation runs). Can
make any conclusions?
you
Transcribed Image Text:Statistics gathered on delay at a machine on 196 different (and assumed independent) days yielded a sample mean of 3.0 min and a sample standard deviation of 1.4 min. (a) Construct a 95% confidence interval for the average delay. (b) Approximately how many more days of observations would be needed to make the size of the confidence interval around +0.1 min? A new machine is being considered to replace the present machine. (c) 100 simulation runs were conducted on the new machine, giving a sample mean of 3.3 min and a sample standard deviation of 1.2 min. Construct a 95% confidence interval for the difference between the two machines (assume the 100 simulation runs are independent of the original set of simulation runs). Can make any conclusions? you
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