Question

Consider the following sample of the height of two cultivars of daisy, 2 months after planting (height in inches). We want to test to see whether there is a difference in average height between the two samples.

	Cultivar A	Cultivar B
	11.29	14.97
	10.05	14.29
	11.61	13.10
	8.52	12.82
	7.84	20.15
	10.14	15.51
	10.24	16.54
	7.54	9.39
	12.56	6.92
	8.11	9.96
	10.40	13.35
	9.49	11.70
	9.52	13.08
	6.49	18.28
	10.62	3.17
	8.14	16.12
	9.41	15.71
	7.06
	9.81
	9.79
Mean	9.43	13.24

1. State the null and alternative hypotheses:

Answer 1

The question only asks for the null and alternative hypotheses which is simple:

Let be the average height of the Cultivar A of daisies, and the average height of the Cultivar B of daisies.

Then we want to test:

                                       

The null hypotheses is that the average height of the daisies in Cultivar A is equal to the average height in Cultivar B.

The alternative hypotheses is that average height of the daisies in Cultivar A is not equal to the average height in Cultivar B.