Question

Researchers claim that 60 tissues is the average number of tissues a person uses during the course of a cold. The company that makes Kleenex brand tissues thinks that the average person doesn’t need as many for a cold if their tissues are used. What are their null and alternative hypotheses?

		H0:  = 60 vs. HA: 60
		H0:  < 60 vs. HA: 60
		H0:  = 60 vs. HA: <6
		H0:   60 vs. HA: <60

Answer 1

Solution:

Given , hypothetical value of mean is ₀ = 60

Claim by company :  the average person doesn’t need as many for a cold if their tissues are used.

i.e it is less than 60

Valid signs in null hypothesis H₀ are = , and

Valid signs in alternative hypothesis H_A   are , < and >

So , required null and alternative hypothesis are

H₀ : = 60 vs H_A : < 60