ZuoTi.Pro
Question

New York City 10-km Run. As reported in Runner's World magazine, the times of the finishers...

New York City 10-km Run. As reported in Runner's World magazine, the times of the finishers in the New York City 10-km run 9 minutes. a. Determine the percentage of finishers who have times between 50 are normally distributed with mean 61 minutes and standard deviation h. Determine the percentage of finishers who have times less than minutes. c. Obtain and interpret the 40th percentile for the finishing times. d. Find and interpret the 8th decile for the finishing times


math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Let X denotes the times of finishers in certain 10km run and is said to follow Normal distribution with mean μ-61 minutes and σ-9 minutes. a) The percentage of finishers with times between 50 and 70 minutes is defined as 50-61 70-61 -P-1.222 szs1) -P(ZS1)-P(Z-1222) 0.8413-0.1108 -0.7305 b) The percentage of finishers with times less than 75 minutes 75 61 īs defined asPlXS75). P(ZS ) -P(Z31.556) 0.9401

0 0
Add a comment
Know the answer?
Add Answer to:
New York City 10-km Run. As reported in Runner's World magazine, the times of the finishers...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • As reported in Runner's World Magazine, the times of finishers in the New York City 10-km...

    As reported in Runner's World Magazine, the times of finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and standard deviation of 9 minutes. (Source: Elementary Statistics, Weiss, 8th edition) 96% of the runners finished quicker than this time. What is the time for the 96th percentile? (round to the hundredths place) minutes.

  • As reported in Runner's World Magazine, the times of finishers in the New York City 10-km...

    As reported in Runner's World Magazine, the times of finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and standard deviation of 9 minutes. (Source: Elementary Statistics, Weiss, 8th edition) 96% of the runners finished quicker than this time. What is the time for the 96th percentile? (round to the hundredths place) _________ minutes.

  • As reported in "Runner's World" magazine, the times of the finishers in the New York City...

    As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let X denote finishing time for the finishers. a) The distribution of the variable X has mean __________ and standard deviation _____________. b) The distribution of the standardized variable Z has mean ____________ and standard deviation ______________. c) The percentage of finishers with times between...

  • 6.92 A variable is normally distributed with mean 0 and standard deviation 4 a. Determine and...

    6.92 A variable is normally distributed with mean 0 and standard deviation 4 a. Determine and interpret the quartiles of the variable. b. Obtain and interpret the second decile. c. Find the value that 15% of all possible values of the variable exceed. d. Find the two values that divide the area under the correspond- ing normal curve into a middle area of 0.80 and two outside areas of 0.10. Interpret your answer. 6.95 New York City 10-km Run. As...

  • As reported in Runner’s World magazine, the times of the finishers in the New York City...

    As reported in Runner’s World magazine, the times of the finishers in the New York City 10-km run are Normally distributed with mean 61 minutes and standard deviation 9 minutes. a. What percentage of runners finish with a time less than 75 minutes? b. What percentage of runners finish with a time between 50 and 70 minutes? c. What percentage of runners take longer than 90 minutes to finish? The annual salaries or employees in a large company are approximately...

  • 2. Runner's World reports that the times (in minutes) of the finishers in the New York...

    2. Runner's World reports that the times (in minutes) of the finishers in the New York City a. Write a sentence that explains the b. Using the empirical rule, what percent of 10-km run follow the distribution N(59, 10). meaning of N(59、10). runners take more than 69 minutes to finish? c. Using the empirical rule, what percent of runners take less than 39 minutes to finish?

  • The times of the finishers in the New York City 10km run are normally distributed with mean of  minutes and st...

    The times of the finishers in the New York City 10km run are normally distributed with mean of  minutes and standard deviation  minutes. It is known that 70% of finishers have a finish time greater than 60 minutes. Let  denote the finishing time for finishers in this race. Find the standard deviation of the finishing time (). The times of the finishers in the New York City 10km run are normally distributed with mean of 61 minutes and standard deviation o minutes. It...

  • 6.93 Giant Tarantulas. One of the larger species of tarantu- las is the Grammostola mollicoma, whose...

    6.93 Giant Tarantulas. One of the larger species of tarantu- las is the Grammostola mollicoma, whose common name is the Brazilian giant tawny red. A tarantula has two body parts. The anterior part of the body is covered above by a shell, or cara- pace. From a recent article by F. Costa and F. Perez-Miles titled Reproductive Biology of Uruguayan Theraphosids" (The Jour- val of Arachnology, Vol. 30, No. 3, pp. 571-587), we find that the carapace length of the...

  • For a recent 10k run, the finishers are normally distributed with mean 63 minutes and standard...

    For a recent 10k run, the finishers are normally distributed with mean 63 minutes and standard deviation 13 minutes. Complete parts (a) through (d) below. Click here to view page 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table. a. Determine the percentage of finishers with times between 45 and 75 minutes. Approximately % of finishers had times between 45 and 75 minutes. (Round to two decimal places as needed.)...

  • The times of the finishers in the New York City 10km run are normally distributed with...

    The times of the finishers in the New York City 10km run are normally distributed with mean of 61 minutes and standard deviation ? minutes. It is known that 70% of finishers have a finish time greater than 60 minutes. Let ?denote the finishing time for finishers in this race. Note: Show your R codes/output. Note: You can use the functions pnorm() or qnorm() in R to help you in solving the following parts. The function pnorm(), compute probabilities from...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT