SOLUTION: A sample of 80 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 5. Conduct the following test of hypothesis using

Algebra ->  Probability-and-statistics -> SOLUTION: A sample of 80 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 5. Conduct the following test of hypothesis using       Log On


   

Question 1072022: A sample of 80 observations is selected from a normal population. The sample mean is 15, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.02 significance level:

H0: μ ≤ 13
H1: μ > 13

e. What is the p-value? (Round the final answer to 4 decimal places.)

The p-value is ?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
alpha=0.02 P{reject Ho|Ho true}
test stat is t (df=79,0.99)
Critical value |t|>2.088
t=(x-mean)/s/sqrt(n)
t=2/5/(sqrt(80))=2*sqrt(80)/5
=3.58
Reject Ho
p-value is 0.0003