Researchers determined that 60 Kleenex 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: = 52 and s = 22. Suppose the alternative we wanted to test was . The correct rejection region for = 0.05 is A) rejectif t 1.6604 B) rejectif t 1.9842 or Z

Question

Researchers determined that 60 Kleenex 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: = 52 and s = 22. Suppose the alternative we wanted to test was . The correct rejection region for = 0.05 is A) rejectif t > 1.6604 B) rejectif t < -1.6604 C) rejectif t > 1.9842 or Z < -1.9842 D) rejectif t < -1.9842 E) rejectif t > -1.9842

Quizplus · Accepted Answer

Since the alternative hypothesis is that the average number of tissues used during a cold is greater than 60, this is a one-tailed test in the positive direction. The correct rejection region for a one-tailed test with a significance level of 0.05 and 99 degrees of freedom (100 - 1) is t < -1.6604. Therefore, we reject the null hypothesis if the calculated t-statistic falls below -1.6604.

Researchers Determined That 60 Kleenex Tissues Is the Average Number