How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: = 52, S = 22. Give the null and alternative hypotheses to determine if the number of tissues used during a cold is less than 60. A) H₀: μ ≤ 60 and H₁: μ 60. B) H₀: μ ≥ 60 and H₁: μ

Question

How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold:  = 52, S = 22. Give the null and alternative hypotheses to determine if the number of tissues used during a cold is less than 60.
A) H₀: μ ≤ 60 and H₁: μ > 60. 
B) H₀: μ ≥ 60 and H₁: μ < 60. 
C) H₀: ≥ 60 and H₁: < 60. 
D) H₀: = 52 and H₁: ≠ 52.

Quizplus · Accepted Answer

The null hypothesis should be that the mean number of tissues used during a cold is greater than or equal to 60 (H₀: μ ≥ 60) and the alternative hypothesis should be that the mean number of tissues used during a cold is less than 60 (H₁: μ < 60). This is because we are testing if there is evidence to suggest that the true mean number of tissues used during a cold is less than the traditionally packaged amount of 60 tissues. Choice A is incorrect because the alternative hypothesis should be that the mean number of tissues used during a cold is less than 60, not greater than. Choice C is incorrect because it states the null and alternative hypothesis in terms of the sample data, rather than the population parameters. Choice D is irrelevant to the stated problem.

How Many Tissues Should the Kimberly Clark Corporation Package of Kleenex