In: Statistics and Probability
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