An experiment finds that runners with the longest legs complete a mile run in less time. Identify the relation between leg length and time of a mile run. statistics
An experiment finds that runners with the longest legs complete a mile run in less time....
A new energy drink is supposed to improve a person’s time in the one mile run. The times, in seconds, of eight runners with and without the drink are given below: Runner 1 2 3 4 5 6 7 8 x-time (before) 260 273 266 265 261 247 268 271 y-time (after) 263 270 280 279 266 242 263 259 Find the 98 % confidence interval for mean of the differences, µd.
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 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...
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...
A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 335 seconds. 12) ______ A) .4893 B) .0107 C) .9893 D) .5107
The Women's Tennis Association finds that the amount of time between two points in a tennis match is uniformly distributed between 1.5 and 4 minutes. 1. Find the probability that the time between two points lasts more than 2 minutes 2. Find the probability that the time between two points lasts less than 3 minutes 3. Find the 30th percentile of times between points. 4. Give a lower bound on the time between two points for the top 25% longest...
SUCUL IUR. 2. The time that it takes to complete a marathon is modelled by a normal distribution with a mean of 4.547 hours and a standard deviation of 0.634 hours. a) What is the probability that a randomly selected runner will complete the marathon in less than 3 hours and a half? (4 marks) Nantle Urading W Student ID#: b) What is the median finish time in this marathon? (4 mark Student ID#: 000 people participate in 2020 Marathon...
Alfreda and Buzz each complete a five mile run every day. Over the course of 7 days, Alfreda finishes her run faster than Buzz exactly four times. Let p denote the true probability that Alfreda is a faster runner than Buzz, and suppose that the number of time Alfreda finishes first is binomially distributed. Determine the likelihood function L(p) and calculate the maximum likelihood estimator p̂.
3. The time needed to complete a final examination is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions. a. What is the probability of completing the exam in one hour or less? b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes (i.e., between 60 and 75 minutes)? c. What is the longest time in minutes it...
The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 84 and 107 minutes. One student is selected at random a. the probabilty density fuction f(x) b.The student completes the quiz in exactly 92.35 minutes. c.The student completes the quiz in a time between 89 and 97 minutes. d. Find the longest completion time, a such that a student would be in the quickest 15% of test takers. (Ex. find a such...