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: X = 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: X = 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: X ≥ 60 and H₁: X < 60.
D) H₀: X = 52 and H₁: X ≠ 52.

Quizplus · Accepted Answer

The null hypothesis should state that the mean number of tissues used during a cold is greater than or equal to 60, while the alternative hypothesis should state that the mean is less than 60, as we are testing whether the number of tissues used is less than the reported mean of 60. Thus, option B is the correct choice. Option A is incorrect because it assumes that the mean is already less than 60. Option C is incorrect because it uses the sample mean, rather than the population mean, as the statistic of interest. Option D is incorrect because it is testing whether the sample mean is different from 52, rather than testing whether the population mean is less than 60.

How Many Tissues Should the Kimberly Clark Corporation Package of Kleenex