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STS3621 Statistics For Life Sciences I (Semester 1 2020) [MC] [F]

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STS3621 Statistics For Life Sciences I (Semester 1 2020) [MC] [F]

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A feeding test is conducted on a herd of 25 dairy cows to compare two diets, A and B. A sample of 13 cows randomly selected from the herd, are fed diet A and the remaining cows are fed with diet B. From observations made over a three-week period, the average daily milk production (in L) is recorded for each cow:

Milk Yield (in L)

Diet A

44

44

56

46

47

38

58

53

49

35

46

30

41

Diet B

35

47

55

29

40

39

32

41

42

57

51

39

mean= 45:15; S₁ = 7:998; n₁ = 13 for A

mean = 42:25; S₂ = 8:740; n₂ = 12 for B

Calculate the lower bound of the 90% confidence interval that can be used to investigate the evidence of a difference in true mean milk yields for the two diets.

Answer 1

Required confidence interval = (2.9 - 5.7366, 2.9 + 5.7366)

Required confidence interval = (-2.8366, 8.6366)

Lower bound = -2.8366