You conduct an experiment to determine how much time a 10que

You conduct an experiment to determine how much time a 10-question survey takes, on average. You want to test the null hypothesis stating that the average time is about 14 minutes versus the alternative that it is more than 14 minutes. You sample 100 people at random and observe the time it takes them to complete the survey. The estimated standard deviation is 2 minutes. Assume that the time it takes to complete the survey is normally distributed.

a) Identify the rejection region in terms of the sample mean for alpha = 0.05

Solution

Rejection Region
The Value of t ? with n-1 = 99 d.f is 1.66
Reject the Null Hypothesis when the calculated value is above to 1.66 i.e | to | > | t ?|