Question

ANSWER WITHOUT USING SOFTWARE PLEASE............AND NOT HAND WRITTEN PLEASE

Medical marijuana (well now that I have your attention) is being cultivated by several companies here in Ontario and of course, the companies want their best product put forward. The best product means a product to meet the government standard with respect to potency and yet cost the least to produce (????). After all, they are in it to make money….

In a study of leaf growth, a small number of seedlings were randomly allocated to be grown in either a standard nutrient solution or in a solution containing extra nitrogen. After 30 days of growth, the plants were harvested; the leaf dry weights were determined; and it was noted that the distribution of these data were normal. So, from these data, can one conclude with 99% confidence, that the plants grown in the nitrogen enriched solution had a higher yield than those grown in the regular solution? The data are as follows:

		Dry Leaf Weight (grams)
Nutrient Solution		n	Mean	SD
Standard		21	3.85	0.39
Extra Nitrogen		16	4.40	0.71

Since it is obvious that we will be dealing with a t-test statistic,

1. Test the claim at 99% confidence that the variances in the leaf dry weights are not equal.
   1. State the Null and Alternative hypotheses (1)
   2. Prepare the PDF and state the Decision Rule (2)
   3. Perform the test (2)
   4. State your Decision (1)
   5. State the Interpretation (1)
2. Now test the claim at 99% confidence that the mean weight of the marijuana plants grown in the nitrogen enriched nutrient solution is indeed greater than those grown in the standard nutrient solution.
   1. State the Null and Alternative hypotheses (1)
   2. Prepare the PDF and state the Decision Rule (2)
   3. Perform the test (2)
   4. State the Decision (1)
   5. State the Interpretation (1)

Answer 1

	sd	variance
1	0.39	0.1521
2	0.71	0.5041

a)

b)