3:19 1Data Project #4: ConfidenceIntervalsA marathon is a foot race with a distanceof 26.22 miles. The Olympic record forthe women's marathon was set during the2012 Olympics by Tiki Gelana of Ethiopia,with a time of 2 hours, 23 minutes, 7seconds. The Olympic record for themen's marathon was set during the 2008Olympics by Samuel Kamau Wanjiru ofKenya, with a time of 2 hours, 6 minutes,32 seconds.Training for a marathon typically lasts atleast 6 months. The training is gradual,with increases in distance about every 2weeks. About 1 to 3 weeks before the race,the distance run is decreased slightly. Thestem-and-leaf plots below show themarathon training times (in minutes) for arandom sample of 30 male runners and30 female runners.Training Times (in minutes)of Female Runners17 | 8 9 918 0 0 0 0 1 2 319 0 0 0 1 3 4 5 56620 0 01 2 3Key: 17|8 = 1786 6 7 9Training Times (in minutes)of Male Runners15 5 89 9916 0 0 0 01 2 3 4 45 8 917 0 1 1 356 6 7 7 918 015Key: 15|5 - 1551. Use the sample to find a pointestimate for the mean training timeof thea. female runnersb. male runners.2. Find the sample standarddeviation of the training times fortheo. female runners 3:19 120 0 01 2 3Training Times (in minutes)of Male Runners15 | 5 8 9 9 9 Key: 15|5 = 15516 0 0 0 0 1 2 3 4 4 5 8 917 0 1 1 3 5 6 6 7 7918 0 151. Use the sample to find a pointestimate for the mean training timeof thea. female runnersb. male runners.2. Find the sample standarddeviation of the training times forthea. female runnersb. male runners3. Use the sample to construct a 95%confidence interval for thepopulation mean training time ofthea. female runnersb. male runners4. Illustrate and interpret the resultsof # 3.5. Use the sample to construct a 95%confidence interval for thepopulation mean training time ofall runners. How do your resultsdiffer from those in Exercise 3?Explain.6. A trainer wants to estimate thepopulation mean running times forboth male and female runnerswithin 2 minutes. Determine theminimum sample size required toconstruct a 99% confidence intervalfor the population mean trainingtime ofa. female runners. Assume thepopulation stondorddeviation is 8.4 minutesb. male runners. Assume thepopulation standarddeviation is 8.9 minutes.

Given information: Female 178, 179, 179, 180, 180, 180, 180, 181, 182, 183, 184, 186, 186, 187, 189,…

A marathon is a foot race with a distance of 26.22 miles. The Olympic record for the women's marathon wos set during the 2012 Olympics by Tiki Gelana of Ethiopia, with a time of 2 hours, 23 minutes, 7 seconds. The Olympic record for the men's marathon was set during the 2008 Olympics by Samuel Kamau Wanjiru of Kenyo, with a time of 2 hours, 6 minutes, 32 seconds. Training for a marathon typically lasts at least 6 months. The training is gradual, with increases in distance about every 2 weeks. About 1 to 3 weeks before the race, the distance run is decreased slightly. The stem-and-leaf plots below show the marathon training times (in minutes) for a random sample of 30 male runners and 30 female runners. Training Times (in minutes) of Female Runners 17 |8 9 9 18 0 0 0 0 1 23 46 6 7 9 19 0 0 013 45 56 6 20 | 0 01 2 3 Key: 17|8 - 178 Training Times (in minutes) of Male Runners 15 |5 8 9 9 9 Key: 15|5 - 155 16 0 0 0 0 1 2 3 4 4 5 8 9 17 01135 6 6 7 79 18 015 1. Use the sample to find a point estimate for the mean training time of the o. female runners 6. male runners. 2. Find the sample standard deviation of the training times for the

A marathon is a foot race with a distance of 26.22 miles. The Olympic record for the women's marathon wos set during the 2012 Olympics by Tiki Gelana of Ethiopia, with a time of 2 hours, 23 minutes, 7 seconds. The Olympic record for the men's marathon was set during the 2008 Olympics by Samuel Kamau Wanjiru of Kenyo, with a time of 2 hours, 6 minutes, 32 seconds. Training for a marathon typically lasts at least 6 months. The training is gradual, with increases in distance about every 2 weeks. About 1 to 3 weeks before the race, the distance run is decreased slightly. The stem-and-leaf plots below show the marathon training times (in minutes) for a random sample of 30 male runners and 30 female runners. Training Times (in minutes) of Female Runners 17 |8 9 9 18 0 0 0 0 1 23 46 6 7 9 19 0 0 013 45 56 6 20 | 0 01 2 3 Key: 17|8 - 178 Training Times (in minutes) of Male Runners 15 |5 8 9 9 9 Key: 15|5 - 155 16 0 0 0 0 1 2 3 4 4 5 8 9 17 01135 6 6 7 79 18 015 1. Use the sample to find a point estimate for the mean training time of the o. female runners 6. male runners. 2. Find the sample standard deviation of the training times for the

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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