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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?Group of answer choices1. H0: μ < 40 vs. H1: μ = 402. H0: μ = 40 vs. H1: μ < 403. H0: = 40 vs. H1: < 404. H0: μ = 40 vs. H1: μ > 40

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JeanaShupp

Answer:  2.  H0: μ = 40 vs. H1: μ < 40

Step-by-step explanation:

  • Null hypothesis [tex](H_0)[/tex] : It is a statement about population parameter by concerning the specific idea. It contains ≤,≥ and = signs
  • Alternative hypothesis [tex](H_a)[/tex] : It is a statement about population parameter but against null hypothesis. It contains < , > and ≠ signs.

Let [tex]\mu[/tex] be the average number of tissues a person uses during the course of a cold.

Given : Researchers claim that 40 tissues is the average number of tissues a person uses during the course of a cold.

i.e. [tex]\mu=40[/tex]

The company who makes Puffs brand tissues thinks that fewer of their tissues are needed.

i.e. [tex]\mu<40[/tex]

Thus , the set of hypothesis would be :-

 [tex]H_0: \mu=40[/tex]

 [tex]H_a: \mu<40[/tex]

Thus , the correct answer is option 2. H0: μ = 40 vs. H1: μ < 40

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