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5. [5 marks] A mid-distance running coach for the Olympic team claims that his 6-month training program significantly reduces the average time to complete a
5. [5 marks] A mid-distance running coach for the Olympic team claims that his 6-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 the coach's 6-month training program and their completion time of 1500-meter run was recorded (in minutes). After six months of training under the coach, the same five runners' 1500-meter run time was recorded. The results are given below. Assume that the difference in running times for given runner is normally distributed. Runner 2 3 4 5 Completion time before training 5.9 7:5 6.1 6.8 6.9 Completion time after training 5.4 7.1 6.2 6.5 6.6 At the 5% level of significance, can we conclude that the coach's 6-month training program significantly reduces the average time to complete a 1500-meter run? I 6. [5 marks] Given sample data: 0.612. 0 619 0628 0
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