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Your group has invented a solar cell that works by applying photosynthesis chemi

ID: 3232524 • Letter: Y

Question

Your group has invented a solar cell that works by applying photosynthesis chemistry to generating hydrogen which is stored for use in a fuel cell. In 10 different regions you set up solar-city installations (using solar cells and lead acid batteries for storage) and your technology comparing the kilowatt hours generated in a month The results are: a. Test whether there is a significant difference between the amounts generated assuming a normal distribution, use alpha = 0.05 b. Test whether there is a significant difference assuming that the data is not normally distributed use alpha = 0.05

Explanation / Answer

(A)

From the given data we have

Below are the null and alternate hypothesis

p-value = 0.3837

As p-value is greater than significance level of 0.05, we fail to reject the null hypothesis. Hence there is not sufficient evidence to conclude that there is significant difference in the amount of power generated.

(B)

If we use the t-distribution i.e. non normal population, degrees of freedom df = 18.

p-value = 0.3952

As p-value is greater than significance level of 0.05, we fail to reject the null hypothesis. Hence there is not sufficient evidence to conclude that there is significant difference in the amount of power generated.

Given Data Sample 1 Sample 2 Name Solar city Photo Fuel mean 962 1129 Sample size 10 10 Std. dev. 408.73 447.72