Question
In the sport of track, the 200-meter race is very competitive. Currently the two best male runners in this race are Usain Bolt and Wallace
In the sport of track, the 200-meter race is very competitive. Currently the two best male runners in this race are Usain Bolt and Wallace Spearman, but there is no consensus opinion about which is the faster runner. Since track, weather and wind condition all affect race times, comparing their times in different races is difficult due to different conditions at these races. So, a random sample of all 200-meter races in which both men were entered was taken, and their race times (in seconds) were recorded with the following results.
NOTE: Use "Matched Pair"
Race | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Bolt's Time | 19.4 | 19.7 | 20.1 | 19.7 | 19.9 | 19.6 | 20,0 | 19.4 | 19.9 | 19.7 |
Spearman's Time | 19.5 | 19.6 | 20.1 | 19.8 | 20.0 | 19.8 | 19.9 | 20.2 | 20.3 | 19.9 |
1. State the null hypothesis
2. State the alternate hypothesis
3. What is the test statistic?
4. What is the p-value?
5. Decide: Reject the null or Do not reject the null
6. Decide: Type I error or Type II error
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started