In 10000 meter race, runners complete over 25 laps or a 400 meter track. It is the longest track running event held. The men’s 10000 meter began at the 1912 Olympics. It was 1988 (over seventy years later) before the women’s 10000 meter was added to Olympic competition. The official world records in the 10,000 meters are held by Kenenisa Bekele with 26:17.53 minutes for men and Almaz Ayana from Ethiopia with 29:17.45 minutes for women.
In this project, we are going to take a look at the 2016 Rio Olympics men and women 10000 meter competition. All the times for the participant’s times are given to you in minutes. You should leave the times in minutes and round to the nearest thousandth when needed. Assume the populations are normally distributed. The data can be found on page 4 of this document.
Use the samples to find the mean completion time of the for the
male runners ______________________ (3 points)
female runners ______________________ (3 points)
Use the samples to find the sample standard deviation of the completion times for the
male runners ______________________ (3 points)
female runners ______________________ (3 points)
Find a point estimate for the mean completion time of the
male runners ______________________ (3 points)
female runners ______________________ (3 points)
Construct a 95% confidence interval for the population mean completion time of the
male runners ______________________ (5 points)
female runners ______________________ (5 points)
