The average time to run the 5K fun run is 23 minutes and the standard deviation...
The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.7 minutes. 44 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution.
What is the distribution of X ? X ~ N( , )
What is the distribution of ¯ x ? ¯ x ~ N( , )
What is the distribution of ∑ x ? ∑ x ~ N( , )
If one randomly selected runner is timed, find the probability that this runner's time will be between 22.3895 and 22.9895 minutes. For the 44 runners, find the probability that their average time is between 22.3895 and 22.9895 minutes.
Find the probability that the randomly selected 44 person team will have a total time more than 994.4.
For part e) and f), is the assumption of normal necessary? NoYes
The top 15% of all 44 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes
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The average time to run the 5K fun run is 23 minutes and the
standard deviation...
The average time to run the 5K fun run is 21 minutes and the standard deviation...
The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.7 minutes. 17 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the distribution of ∑x∑x? ∑x∑x ~ N(,) If one randomly selected runner is timed, find the...
The average time to run the 5K fun run is 22 minutes and the standard deviation...
The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.3 minutes. 47 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-NI b. What is the distribution of æ? - NCI c. What is the distribution of «? *-N d. If one randomly selected runner is timed, find the probability...
V 7.2 Due in 5 hours, 3 minutes. Due Thu 07/30/2020 11:59 pm al Points Possible:...
V 7.2 Due in 5 hours, 3 minutes. Due Thu 07/30/2020 11:59 pm al Points Possible: 2 estions Question 1 (0/1) Question 2 (0.771) de: 0.7/2 The average time to run the SK fun run is 24 minutes and the standard deviation is 2.7 minutes. 43 runners are randomly selected to run the SK fun run. Round all answers to 4 decimal places where possible and assume a normal distribution a. What is the distribution of X? X-NI b. What...
22) Runner's World magazine wanted to find out what the average 5k running time was for...
22) Runner's World magazine wanted to find out what the average 5k running time was for recreational runners. To estimate this, they took a random sample of 64 runner's times from a database of recreational 5k races across the country. This sample resulted in a sample mean (X) of 28 minutes with a sample standard deviation of 5 minutes. Calculate a 95% confidence interval around the mean. (5 points)
8. (10 points) Suppose that (26 miles) in an average of 145 minutes with a standard...
8. (10 points) Suppose that (26 miles) in an average of 145 minutes with a standard deviation of 14 minutes. Consider 49 randomly selected runners of this category in a particular race. Let X = the average of the 49 a category of world-class runners are known to run a marathon runners' times (a) What does the central limit theorem say about the distribution of x? (b) Find the probability that the 49 (c) Would you be surprised if one...
leach My Notes Suppose that a category of world class runners are known to run a...
leach My Notes Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 148 minutes with a standard deviation of 15 minutes. Consider 49 of the races. Let x = the average of the 49 races. a Part (a) Give the distribution of (Round your standard deviation to two decimal places.) Part (b) Find the probability that the runner will average between 146 and 149 minutes in these 49 marathons....
Suppose that a category of world class runners are known to run a marathon (26 miles)...
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 12 minutes. Consider 49 of the races. Let X = the average of the 49 races. a) Find the probability that the runner will average between 144 and 148 minutes in these 49 marathons. (Round your answer to four decimal places.) b) Find the 70th percentile for the average of these 49 marathons....
Los Angeles workers have an average commute of 33 minutes. Suppose the LA commute time is...
Los Angeles workers have an average commute of 33 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 13 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected LA worker has a commute that is longer than 32 minutes. c. Find the 75th percentile...
Los Angeles workers have an average commute of 31 minutes. Suppose the LA commute time is...
Los Angeles workers have an average commute of 31 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected LA worker has a commute that is longer than 37 minutes. c. Find the 85th percentile...
Los Angeles workers have an average commute of 32 minutes. Suppose the LA commute time is...
Los Angeles workers have an average commute of 32 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 13 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected LA worker has a commute that is longer than 29 minutes. c. Find the 90th percentile...
The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.3 minutes. 47 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-NI b. What is the distribution of æ? - NCI c. What is the distribution of «? *-N d. If one randomly selected runner is timed, find the probability...
V 7.2 Due in 5 hours, 3 minutes. Due Thu 07/30/2020 11:59 pm al Points Possible: 2 estions Question 1 (0/1) Question 2 (0.771) de: 0.7/2 The average time to run the SK fun run is 24 minutes and the standard deviation is 2.7 minutes. 43 runners are randomly selected to run the SK fun run. Round all answers to 4 decimal places where possible and assume a normal distribution a. What is the distribution of X? X-NI b. What...
22) Runner's World magazine wanted to find out what the average 5k running time was for recreational runners. To estimate this, they took a random sample of 64 runner's times from a database of recreational 5k races across the country. This sample resulted in a sample mean (X) of 28 minutes with a sample standard deviation of 5 minutes. Calculate a 95% confidence interval around the mean. (5 points)
8. (10 points) Suppose that (26 miles) in an average of 145 minutes with a standard deviation of 14 minutes. Consider 49 randomly selected runners of this category in a particular race. Let X = the average of the 49 a category of world-class runners are known to run a marathon runners' times (a) What does the central limit theorem say about the distribution of x? (b) Find the probability that the 49 (c) Would you be surprised if one...
leach My Notes Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 148 minutes with a standard deviation of 15 minutes. Consider 49 of the races. Let x = the average of the 49 races. a Part (a) Give the distribution of (Round your standard deviation to two decimal places.) Part (b) Find the probability that the runner will average between 146 and 149 minutes in these 49 marathons....
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