Solution Found!
(In some of the exercises that follow, we must
Chapter 8, Problem 13E(choose chapter or problem)
PROBLEM 13E
(In some of the exercises that follow, we must make assumptions such as the existence of normal distributions with equal variances.)
Students looked at the effect of a certain fertilizer on plant growth. The students tested this fertilizer on one group of plants (Group A) and did not give fertilizer to a second group (Group B). The growths of the plants, in mm, over six weeks were as follows:
Group A: 55 61 33 57 17 46 50 42 71 51 63
Group B: 31 27 12 44 9 25 34 53 33 21 32
(a) Test the null hypothesis that the mean growths are equal against the alternative that the fertilizer enhanced growth. Assume that the variances are equal.
(b) Construct box plots of the two sets of growths on the same graph. Does this confirm your answer to part (a)?
Questions & Answers
QUESTION:
PROBLEM 13E
(In some of the exercises that follow, we must make assumptions such as the existence of normal distributions with equal variances.)
Students looked at the effect of a certain fertilizer on plant growth. The students tested this fertilizer on one group of plants (Group A) and did not give fertilizer to a second group (Group B). The growths of the plants, in mm, over six weeks were as follows:
Group A: 55 61 33 57 17 46 50 42 71 51 63
Group B: 31 27 12 44 9 25 34 53 33 21 32
(a) Test the null hypothesis that the mean growths are equal against the alternative that the fertilizer enhanced growth. Assume that the variances are equal.
(b) Construct box plots of the two sets of growths on the same graph. Does this confirm your answer to part (a)?
ANSWER:
Step 1 of 3
GroupA mean = 49.63
GroupB mean = 29.18