How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers determined that 60 tissues is the average 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: $overline{X}$ = 52, s = 22. Suppose the test statistic does fall in the rejection region at ? =
0) 05. Which of the following decision is correct?

Question

How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers determined that 60 tissues is the average 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:

overline{X}

= 52, s = 22. Suppose the test statistic does fall in the rejection region at ? =
0) 05. Which of the following decision is correct?

Quizplus · Accepted Answer

The null hypothesis is that the population mean number of tissues used during a cold is 60 (H₀ = 60). The alternate hypothesis is that the population mean is less than 60 (H₀ < 60). We are given a random sample of 100 Kleenex users, with a sample mean of 52 and a sample standard deviation of 22. We can use a one-sample t-test to test the hypothesis. The test statistic is calculated as follows: t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size)) t = (52 - 60) / (22 / sqrt(100)) t = -8 / 2.2 t = -3.64 Using a t-distribution table with 99 degrees of freedom (100 - 1), we find that the critical value for a one-tailed test with α = 0.05 is -1.66. Since our calculated t-value (-3.64) is less than the critical value (-1.66), we reject the null hypothesis. Therefore, we can conclude that there is sufficient evidence to suggest that the population mean number of tissues used during a cold is less than 60. Since we are rejecting the null hypothesis, the correct decision is B) At α = 0.05, we reject H₀.

How Many Kleenex Should the Kimberly Clark Corporation Package of Tissues