(c) Using the information you obtained in part (b), check whether it is reasonable to assume that the two samples come from populations whose distributions have a common variance. (d) To investigate whether light affects root growth (when stems have been cut during growth), a t-test is to be performed on the measurements that you made. Defining and using appropriate notation, state the null and alternative hypotheses of this test.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The second picture is the minitab outcome as asked to be used in the question.
Minitab artcome from Part (b)
WORKSHEET 1
Test and Cl for One Variance: Light, Dark
Method
σ: standard deviation of Light, Dark
The Bonett method is valid for any continuous distribution.
The chi-square method is valid only for the normal distribution.
Descriptive Statistics
95% CI for
o using
Bonett
95% CI for
o using
Chi-Square
Variable
N StDev Variance
Light
10
4.38
19.2 (3.03, 7.87)
(3.01, 7.99)
Dark
10
4.21
17.7 (2.82, 7.82)
(2.90, 7.69)
Test
Ho: a = 1
Null hypothesis
Alternative hypothesis
H₁: 0# 1
Test
Variable Method
Statistic DF P-Value
Light
Bonett
0.000
Chi-Square
172.50 9
0.000
Dark
Bonett
0.000
Chi-Square
159.60 9
0.000
Transcribed Image Text:Minitab artcome from Part (b) WORKSHEET 1 Test and Cl for One Variance: Light, Dark Method σ: standard deviation of Light, Dark The Bonett method is valid for any continuous distribution. The chi-square method is valid only for the normal distribution. Descriptive Statistics 95% CI for o using Bonett 95% CI for o using Chi-Square Variable N StDev Variance Light 10 4.38 19.2 (3.03, 7.87) (3.01, 7.99) Dark 10 4.21 17.7 (2.82, 7.82) (2.90, 7.69) Test Ho: a = 1 Null hypothesis Alternative hypothesis H₁: 0# 1 Test Variable Method Statistic DF P-Value Light Bonett 0.000 Chi-Square 172.50 9 0.000 Dark Bonett 0.000 Chi-Square 159.60 9 0.000
(c) Using the information you obtained in part (b), check whether it is
reasonable to assume that the two samples come from populations
whose distributions have a common variance.
(d) To investigate whether light affects root growth (when stems have been
cut during growth), a t-test is to be performed on the measurements
that you made. Defining and using appropriate notation, state the null
and alternative hypotheses of this test.
Transcribed Image Text:(c) Using the information you obtained in part (b), check whether it is reasonable to assume that the two samples come from populations whose distributions have a common variance. (d) To investigate whether light affects root growth (when stems have been cut during growth), a t-test is to be performed on the measurements that you made. Defining and using appropriate notation, state the null and alternative hypotheses of this test.
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