9(a). Suppose that in the "water and plant growth height" example we have four plants in the experiment and after the growing season is over we record the following data: Amount of water (x): 1 3 4 9.4 Growth height (y): 6.4 6.6 7.6 You are given that with these data, x= 2.5, ỹ=7.5, sxx = 5, Sxy value of the Type I error is 0.05, test the null hypothesis ß= 0 against the alternative hypothesis B> 0. 5 and syy = 5.64. If the chosen %3D %3D 9(b). Suppose now that the data had been: Amount of water (x): 1 3 4 Growth height (y): 6.7 6.3 7.3 9.7 You are given that with these data, x=2.5, ỹ=7.5, sxx = 5, Sxy = 5 and syy = 6.96. If the chosen value of the Type I error is 0.05, test the null hypothesis ß= 0 against the alternative hypothesis B> 0. %3D 9(c). If you reach a different conclusion concerning accepting or rejecting the null hypothesis in parts 9(a) and 9(b) of this question, what is the main reason for this difference?
9(a). Suppose that in the "water and plant growth height" example we have four plants in the experiment and after the growing season is over we record the following data: Amount of water (x): 1 3 4 9.4 Growth height (y): 6.4 6.6 7.6 You are given that with these data, x= 2.5, ỹ=7.5, sxx = 5, Sxy value of the Type I error is 0.05, test the null hypothesis ß= 0 against the alternative hypothesis B> 0. 5 and syy = 5.64. If the chosen %3D %3D 9(b). Suppose now that the data had been: Amount of water (x): 1 3 4 Growth height (y): 6.7 6.3 7.3 9.7 You are given that with these data, x=2.5, ỹ=7.5, sxx = 5, Sxy = 5 and syy = 6.96. If the chosen value of the Type I error is 0.05, test the null hypothesis ß= 0 against the alternative hypothesis B> 0. %3D 9(c). If you reach a different conclusion concerning accepting or rejecting the null hypothesis in parts 9(a) and 9(b) of this question, what is the main reason for this difference?
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Question

Transcribed Image Text:9(a). Suppose that in the "water and plant growth height" example we have four plants in the
experiment and after the growing season is over we record the following data:
Amount of water (x):
1
2
3
4
Growth height (y):
6.4
6.6
7.6
9.4
You are given that with these data, x= 2.5, j=7.5, sxx = 5, Sxy
value of the Type I error is 0.05, test the null hypothesis B = 0 against the alternative hypothesis
B>0.
= 5 and syy = 5.64. If the chosen
9(b). Suppose now that the data had been:
Amount of water (x):
1
3
Growth height (y):
6.7
6.3
7.3
9.7
5 and
You are given that with these data, x= 2.5, y=7.5, Sxx = 5, Sxy
value of the Type I error is 0.05, test the null hypothesis B = 0 against the alternative hypothesis
ß > 0.
Syy
6.96. If the chosen
9(c). If you reach a different conclusion concerning accepting or rejecting the null hypothesis in
parts 9(a) and 9(b) of this question, what is the main reason for this difference?
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