Question

A study is being conducted to compare vitamin C and zinc to determine which is better at fighting colds. Customers believe vitamin C is better at fighting colds. What are the appropriate hypotheses for this testing scenario? Let μ_c equal the mean of the effectiveness of vitamin C and μ_z equal the mean of the effectiveness of zinc. (2 points)

		H0: μc – μz = 0 Ha: μc – μz > 0
		H0: μc – μz = 0 Ha: μc – μz < 0
		H0: μc – μz = 0 Ha: μc – μz ≠ 0
		H0: x̄c – x̄z = 0 Ha: x̄c – x̄z > 0
		H0: x̄c – x̄z = 0 Ha: x̄c – x̄z ≠ 0

Answer 1

Solution:

Claim by Customers : vitamin C is better at fighting colds than vitamin Z

i.e.  μ_c >  μ_z

i.e.  μ_c – μ_z > 0

So the null and alternative hypothesis are

H₀: μ_c – μ_z = 0
H_a: μ_c – μ_z > 0