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?

MATLAB: An Introduction with Applications
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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?
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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