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

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: 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 class=answers-bank-image d-inline rel=preload > = 52 and s = 22. Suppose the alternative we wanted to test was 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 class=answers-bank-image d-inline rel=preload > . The correct rejection region for 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 class=answers-bank-image d-inline rel=preload > = 0.05 isA) rejectif t > 1.6604B) rejectif t < -1.6604C) rejectif t > 1.9842 or Z < -1.9842D) rejectif t < -1.9842E) rejectif t > -1.9842

gagan chahal · Accepted Answer

Final Answer : B, Explanation :  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.

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