Question 17 < > 0/3 pts 100 99 Details The average time to run the 5K...

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Question 17 < > 0/3 pts 100 99 Details The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.3 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. a. What is the distribution of X? X - N b. What is the distribution of x? x ~ NO ~ x? x = N( c. What is the distribution of d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.9633 and 22.5633 minutes. e. For the 17 runners, find the probability that their average time is between 21.9633 and 22.5633 minutes. f. Find the probability that the randomly selected 17 person team will have a total time more than 380.8. g. For part e) and f), is the assumption of normal necessary? No Yes h. The top 20% of all 17 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 Question 18 < > 0/3 pts 100 99 Details Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 48 minutes and standard deviation 21 minutes. A researcher observed 18 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of x? x - N( c. What is the distribution of x? x = N( d. If one randomly selected student is timed, find the probability that this student's time will be between 50 and 57 minutes. e. For the 18 students, find the probability that their average time studying is between 50 and 57 minutes. f. Find the probability that the randomly selected 18 students will have a total study time more than 846 minutes. g. For part e) and f), is the assumption of normal necessary? Yes No h. The top 10% of the total study time for groups of 18 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minutes Question 17 < > 0/3 pts 100 99 Details The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.3 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. a. What is the distribution of X? X - N b. What is the distribution of x? x ~ NO ~ x? x = N( c. What is the distribution of d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.9633 and 22.5633 minutes. e. For the 17 runners, find the probability that their average time is between 21.9633 and 22.5633 minutes. f. Find the probability that the randomly selected 17 person team will have a total time more than 380.8. g. For part e) and f), is the assumption of normal necessary? No Yes h. The top 20% of all 17 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 Question 18 < > 0/3 pts 100 99 Details Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 48 minutes and standard deviation 21 minutes. A researcher observed 18 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of x? x - N( c. What is the distribution of x? x = N( d. If one randomly selected student is timed, find the probability that this student's time will be between 50 and 57 minutes. e. For the 18 students, find the probability that their average time studying is between 50 and 57 minutes. f. Find the probability that the randomly selected 18 students will have a total study time more than 846 minutes. g. For part e) and f), is the assumption of normal necessary? Yes No h. The top 10% of the total study time for groups of 18 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minutes

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Lets go through the questions one by one Question 17 a What is the distribution of X Since X represents the time for one runner to run the 5K fun run ... View the full answer