11 points Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 14 of 14 minutes. Consider 50 of the races. Let \( X \) be the average of the 50 races. Find the 75 th percentile for \( t \) round your answer to one decimal place. Type your answer- Previous
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Given that the average time to run a marathon is 14 minutes, we can assume that this is normally distributed. The Central Limit Theorem tells us that the distribution of the sample mean (X) will be approximately normally distributed if the sample size is large Show more…
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Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 14 minutes. Consider 50 of the races. Let X be the average of the 50 races. Find the 75th percentile for the average of these 50 marathons. round your answer to one decimal place.
Evelyn C.
Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 14 minutes. Consider 49 of the races. Let the average of the 49 races. a. ~ _____(_____,_____) b. Find the probability that the runner will average between 142 and 146 minutes in these 49 marathons. c. Find the 80 percentile for the average of these 49 marathons.
Christopher D.
Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 14 minutes. Consider 49 of the races. Let $\overline{X}$ the average of the 49 races. a. $\overline{X} \sim$ _____(_____,_____) b. Find the probability that the runner will average between 142 and 146 minutes in these 49 marathons. c. Find the $80^{\text { th }}$ percentile for the average of these 49 marathons. d. Find the median of the average running times.
Leon D.
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