Can a person train to become better at holding their breath? An experiment was designed to find out. A group of 12 volunteers we
re randomly assigned to 1 of 2 groups. The 6 volunteers assigned to group 1 were given breath-holding exercises to perform for 2 weeks. The other group was not given any information about the experiment. At the end of the 2 weeks, all 12 volunteers were individually tested to determine how long they could hold their breath. Here are the data (in seconds): Group 1: 90, 88, 70, 110, 75, 105
Group 2: 40, 48, 35, 50, 55, 62
The researcher would like to determine if these data provide convincing evidence that the true mean amount of time volunteers who were given training held their breath is greater than the true mean amount of time volunteers without training held their breath. The researcher tests H0: μ1 – μ2 = 0, Ha: μ1 – μ2 > 0, where μ1 = the true mean amount of time that volunteers who were given training held their breath and μ2 = the true mean amount of time that volunteers without training held their breath. The conditions for inference are met. The standardized test statistic is t = 5.44. What is the P-value of this test closest to?
