4. A researcher investigated the effect of green light, in comparison to red lig

Question

4. A researcher investigated the effect of green light, in comparison to red light, on the growth rate of bean plants by randomly exposed plants either green light or red light. The following table shows data on the heights of plants (unit: inch) from the soil to the first branching stem, 2 weeks after germination Red Light Y Green Light Y Sample Size Sample Mean Sample Standard 1.78 150 47 35 8.94 B.36 (a) The standard error of Ri- (10 points) (b) Construct a 9S% confidence interval for ??-?2. (Use df: 80) (Keep 3 decimal places) (10 points) Your final result is (c) Interpret the confidence interval you constructed in part (b) based on the context. (5 points)

Explanation / Answer

From the given data,

a) SE = 0.3629

b)

c)

The CI of (-0.0239 , 1.1839) has 0 included in it. This means we reject the null hypothesis. There are not significant evidence to conclude that there is difference in the growth of plant in red and green light.

Given Data Sample 1 Sample 2 Name Red Light Green Light mean 8.94 8.36 Sample size 47 35 Std. dev. 1.78 1.50

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