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Operators are to answer telephone calls from customers in an average time of 0.1 minute or less, and either respond to or refer to the proper department within 0.5 minute. Estimate the actual overall time for both components, in total. A pilot study sample of 30 actual operator times was drawn, with the results in following table.
Component Mean time Standard deviationAnswer 0.1023 0.0183Service 0.5290 0.0902
If the manager wants to be 95 percent confident that the overall time is correctly estimated, with a 3% probability of error, what size sample should be taken?
P bar is .5, alpha is .95, E is .03
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14 machines are planned to be used for a 60-day production run for a customer. The operating time is 1660 hours. Upon failure, a machine must be returned to the manufacturer for repair.
What is the mean of this uniform distribution? What is the standard deviation?
What can we conclude from these figures at a level of significance of .01?
Which combination of factors produces smallest risk of Type I error?
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