You are interested in enhancing the performance of runners in a 10-kilometer event.  You randomly select 40 runners and randomly assign them to one of two diet groups.  During the 24 hours prior to the 10K run you feed the experimental group a special diet of 80% of their calories from carbohydrates and ad lib water intake.  During the 24 hours prior to the event you tell the control group to eat what they normally would eat and drink prior to a 10-K race.  Prior to running the event you measure the glycogen content of the quadriceps muscle in mg/kilogram of wet muscle of each subject.  You also measure the individual’s time to run the 10K event.  Thus, the purpose of your study is to determine the effect of a high carbohydrate diet on glycogen content of the muscle and 10k performance.  A secondary purpose is to examine the relationships between glycogen content of the quadriceps and 10K performance.  Calculate the appropriate statistic to determ

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You are interested in enhancing the performance of runners in a 10-kilometer event.  You randomly select 40 runners and randomly assign them to one of two diet groups.  During the 24 hours prior to the 10K run you feed the experimental group a special diet of 80% of their calories from carbohydrates and ad lib water intake.  During the 24 hours prior to the event you tell the control group to eat what they normally would eat and drink prior to a 10-K race.  Prior to running the event you measure the glycogen content of the quadriceps muscle in mg/kilogram of wet muscle of each subject.  You also measure the individual’s time to run the 10K event.  Thus, the purpose of your study is to determine the effect of a high carbohydrate diet on glycogen content of the muscle and 10k performance.  A secondary purpose is to examine the relationships between glycogen content of the quadriceps and 10K performance. 

Calculate the appropriate statistic to determine if Ho is rejected or accepted and state your conclusion about Ho based on the statistical evidence (for example what is the t-value and p-value). Based on your decision about Ho what is your inference about the population you are studying

 

SUBNUM 

GROUP 

GLYCOGEN 

TIME10K 

24 

39.9 

27 

34.4 

31 

32.1 

21 

55 

23 

50.3 

25 

53.2 

27 

55.4 

22 

44.6 

19 

56.9 

10 

35 

30.5 

11 

32 

35.1 

12 

21 

49.9 

13 

27 

38.2 

14 

18 

61.1 

15 

33 

37.2 

16 

25 

40.2 

17 

28 

37.5 

18 

20 

53.9 

19 

29 

42.1 

20 

30 

43.2 

21 

22 

39.9 

22 

26 

34.4 

23 

30 

32.1 

24 

20 

55 

25 

24 

50.3 

26 

25 

53.2 

27 

26 

55.4 

28 

21 

44.6 

29 

20 

56.9 

30 

36 

30.5 

31 

31 

34.1 

32 

22 

50.9 

33 

26 

38.2 

34 

19 

62.1 

35 

34 

36.2 

36 

24 

40.2 

37 

29 

37.5 

38 

19 

53.9 

39 

28 

42.1 

40 

31 

43.2 

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