A researcher investigated the effects of green and red light on the growth rate of bean plants.Â Â The...

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A researcher investigated the effectsof green and red light on the growth rate of beanplants.Â Â The table below summarizes the heights (ininches) of bean plants from soil to first branchingstem.Â Â
Light
Sample Mean
Sample Standard Deviation
Sample Size
Red
8.36
1.50
17
Green
8.94
2.78
25
(A â€“ 10 pts.)Â Â Use thePooled two-sample t-procedure to construct the 95% confidenceinterval for the difference in mean height for bean plants exposedto these two colors of light.Â Â (You do not need tointerpret the confidence interval.)
(B â€“ 8 pts.)Â Â Suppose thatyou wish to address the question of whether mean height differs forbean plants exposed to these two colors of light.Â Â Statethe null hypothesis and the alternative hypothesis, usingappropriate notation. Clearly identify what each symbolrepresents.Â Â Do not attempt to conduct thetest.

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a Degree of freedom DF n1n22 40 tcritical value t 2 20211 excel formula tinv2df pooled std dev Sp n1 1s1 n2 1s2n1n22 23531 std error SE Sp1n11n2 07397 See Answer

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Light	Sample Mean	Sample Standard Deviation	Sample Size
Red	8.36	1.50	17
Green	8.94	2.78	25