5. Suppose that it takes a nurse at the Chimney Rock Hospital in North Carolina on average 13.7 minutes to complete a specific task and that completion time is normally distributed with a standard deviation of 3.4 minutes. a. What proportion of nurses complete the task between 15.2 and 17.7 minutes? b. What proportion of nurses complete the task in less than 8 minutes and 24 seconds? c. What completion time is the 73rd percentile? d. If 30 nurses were randomly selected from this population, what is the probability that the sample mean time will be greater than 14 minutes and 12 seconds? I

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