standard deviation statistics homework help

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standard deviation statistics homework help

.  Prof. Miller ran a marathon.  Given that the mean finishing time for all runners was 255 minutes with a standard deviation of 46 minutes and that finishing times were approximately normally distributed, find

(a)  the percent of finishers who ran faster than Prof. Miller’s time of 3 hr 30 min.

(b)  a time that was the 23rd percentile (23% of finishers were under that time)

(c)  the percent of runners who finished between 3 hours and 4 hours

(d)  a random sample of 32 runners got a special vitamin supplement right before the race.  Their mean time was 4 hr 2 min.  What is the probability that a group of 32 runners chosen at random would have a mean time of 4 hr 2 minutes or less?

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