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In: Statistics and Probability

Q1 A. The following data refers to yield of tomatoes (kg/plot) for four different levels of...

Q1

A. The following data refers to yield of tomatoes (kg/plot) for four different levels of salinity. Salinity level here refers to electrical conductivity (EC), where the chosen levels were EC = 1.6, 3.8, 6.0 and 10.2 nmhos/cm

EC in nmhos/cm

Ti

1.6

59.5

53.3

56.8

63.1

58.7

291.4

3.8

55.2

59.1

52.8

54.5

221.6

6.0

51.7

48.8

53.9

49.0

203.4

10.2

44.6

48.5

41.0

47.3

46.1

227.5

I- Use the F test at level α = 0.05 to test for any differences in true average yield due to the different salinity levels. (use the method given in the lecture notes only)

II- What happens when Tukey’s procedure is applied?

B- For the following pairs of assertions, indicate which do not comply with our rules for setting up hypotheses and why (the subscripts 1 and 2 differentiate between quantities for two different populations or samples).

I. Ho: µ = 100, Ha: µ >100

II. Ho: p ≠ 0.25, Ha: p = 0.25

III. Ho: S²1 = S²2, Ha: S²1 ≠ S²2

IV. Ho: s1/s2 = 1, Ha: s1/s2 ≠ 1

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