Researchers claim that 40 tissues is the average number of tissues a person uses during the course of a cold.The company who makes Puffs brand tissues thinks that fewer of their tissues are needed.What are their null and alternative hypotheses? A) H₀: $\mu$ = 40 vs.H₁: $\mu$ $\gt$ 40 B) H₀: $\mu$ = 40 vs.H₁: $\mu$$\lt$40 C) H₀:=40 vs.H₁:$\lt$40 D) H₀: $\mu$ $\lt$ 40 vs.H₁: $\mu$ = 40

Question

Quizplus · Accepted Answer

The null hypothesis states that the average number of tissues used during a cold with Puffs brand is equal to 40, while the alternative hypothesis suggests that the average number is less than 40. This makes sense as the company believes that fewer of their tissues are needed. Choice A suggests that the alternative hypothesis is that the average number of tissues is greater than 40, which does not align with the company's belief. Choice C only includes the alternative hypothesis without stating the null hypothesis. Choice D has the null and alternative hypotheses reversed from what the company believes. Therefore, the best choice is B.

Researchers Claim That 40 Tissues Is the Average Number of Tissues