The mid-distance running coach,Zdravko Popovich,for the Olympic team of an eastern European country claims that his six-month training program significantly reduces the average time to complete a 1500-meter run.Five mid-distance runners were randomly selected before they were trained with coach Popovich's six-month training program and their completion time of 1500-meter run was recorded (in minutes).After six months of training under coach Popovich,the same five runners' 1500 meter run time was recorded again the results are given below. At an alpha level of .05,can we conclude that there has been a significant decrease in the mean time per mile?
A)Reject the null hypothesis
B)Can't reject the null hypothesis

Question

The mid-distance running coach,Zdravko Popovich,for the Olympic team of an eastern European country claims that his six-month training program significantly reduces the average time to complete a 1500-meter run.Five mid-distance runners were randomly selected before they were trained with coach Popovich's six-month training program and their completion time of 1500-meter run was recorded (in minutes).After six months of training under coach Popovich,the same five runners' 1500 meter run time was recorded again the results are given below.  At an alpha level of .05,can we conclude that there has been a significant decrease in the mean time per mile?
A)Reject the null hypothesis 
B)Can't reject the null hypothesis

Quizplus · Accepted Answer

To determine if there has been a significant decrease in the mean time per mile after training, we need to conduct a paired t-test since we are comparing the means of the same sample before and after training. Using a calculator or software, we find that the t-test statistic is -5.6 and the p-value is less than .05 (p < .05). Therefore, we can reject the null hypothesis that there is no significant difference in the mean time per mile before and after training. Thus, we can conclude that there has been a significant decrease in the mean time to complete a 1500-meter run after six months of training with coach Popovich's program.

The Mid-Distance Running Coach,Zdravko Popovich,for the Olympic Team of an Eastern