4.What is the minimum and maximum difference in number of beans per teaspoon use

Question

4.What is the minimum and maximum difference in number of beans per teaspoon used for Class 1 and 2 at 99% level of confidence? Assume unknown population variances that are equal. Is there enough evidence to conclude they are different?

Population1_Class 1

Population2_Class 2

Student# Black Beans While Beans Total % black beans 1 18 16 34 0.529 2 15 16 31 0.484 3 15 15 30 0.500 4 15 18 33 0.455 5 15 17 32 0.469 6 17 14 31 0.548 7 15 17 32 0.469 8 21 19 40 0.525 9 13 22 35 0.371 10 18 16 34 0.529 11 25 20 45 0.556 12 23 8 31 0.742 13 19 16 35 0.543 14 18 19 37 0.486 15 17 20 37 0.459 16 18 27 45 0.400 17 19 14 33 0.576 18 16 17 33 0.485 19 18 19 37 0.486 20 15 23 38 0.395 21 17 15 32 0.531 22 19 19 38 0.500 23 18 27 45 0.400 24 17 11 28 0.607 25 14 17 31 0.452 26 22 17 39 0.564 27 18 25 43 0.419

Explanation / Answer

From the given data we have

From the given confidence interval we conclude that there is no difference in the mean of two classes.

Given Data Sample 1 Sample 2 Name Class 1 Class 2 mean 35.5185 36.6923 Sample size 27 26 Std. dev. 4.83 2.56

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