Question

6. (20 pts) A sprint duathlon consists of a 5 km run, a 20 km bike ride, followed by another 5 km run. The mean finish time of all participants in a recent duathlon deviation of 0.25 hours. Suppose a random sample of 30 participants finishing ti was 1.67 hours with a standard was taken and the mean me was found to be 1.59 hours with a standard deviation of 0.30 hours. (a) Identify the parameters in this situation. Use correct notation ら1 (b) Identify the statistics in this situation. Use correct notation. (c) Suppose we were to make a histogram of the finishing times of all participants in the duathlon. Which of the following would the histogram be a display of i. Population distribution ii. Distribution of a sample ii. Sampling distribution of means (d) Suppose the process of taking random samples of size 30 is repeated 200 times and a histogram of 200 sample means is created. a display of Which of the following would the histogram be i. Population distribution ii. Distribution of a sample iii. Sampling distribution of means (e) What is the standard error for the mean finish time of 30 randomly selected participants? () If one participant is selected at random, what is the probability that his/her time will be less than 1.59 hours. (g) What is the probability that another sample of 30 randomly selected participants will have a mean finishing time of 1.59 hours or less?

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Answer 1

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ned prababailityPx 4 159) PX-J 159-167 0-2 Plz -0.32) Plz> 0.32) 0.374484 Sampla meanXN 2. eN (167, 025 inishing O.25 430 P(ス>1.7527) Plz4-17527). 0:039821