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# 05ex - ISOM111 Business Statistics(Fall 2010 Tutorial...

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ISOM111 Business Statistics (Fall 2010) Tutorial Exercise 5 1. From extensive records, it is known that the duration of treating a disease by a standard therapy has a mean of 15 days and a standard deviation of 3 days. Recently, a new therapy has been introduced and it is believed to shorten the mean time of recovery for the patients, although its variation in the recovery time is same as that of the standard one. (a) As part of a clinical trial, this new therapy is tried on 70 patients and their times to recovery are recorded. The mean time is 12 days. Construct a 95% C.I. for the mean time of recovery of this new therapy. (b) Another clinical trial of this new therapy on other 25 patients has recorded the mean time as 12 days. Construct a 95% C.I. for the mean time of recovery of this new therapy in this second trial. (Optional: state assumption(s) whichever necessary) (c) Suggest the minimum sample size to ensure the con fi dence level to be at least 99% and the margin of error to be no more than ± 0 . 5 day.

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05ex - ISOM111 Business Statistics(Fall 2010 Tutorial...

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