The Average Time To Run The 5k Fun Run Is 23 Minutes And The Standard Deviation Is 2 6 Minutes 46 Runners Are Randomly 1 (53.52 KiB) Viewed 30 times
The Average Time To Run The 5k Fun Run Is 23 Minutes And The Standard Deviation Is 2 6 Minutes 46 Runners Are Randomly 2 (32.1 KiB) Viewed 30 times
The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.6 minutes. 46 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X-NO b. What is the distribution of ? ~ NO N c. What is the distribution of Σx? Σ* ~ N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.825 and 23.325 minutes. e. For the 46 runners, find the probability that their average time is between 22.825 and 23.325 minutes. f. Find the probability that the randomly selected 46 person team will have a total time more than 1053.4. g. For part e) and f), is the assumption of normal Yes No necessary? h. The top 20% of all 46 person team relay races will compete in the championship round. These are the 20% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes
Central Limit Theorem for Sums Suppose random samples of n = 43 are collected from an unknown distribution with the properties μ = 48 and σ = 4. a. Determine the mean of EX. b. Determine the standard deviation of EX. (Include four decimal places.)
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