SOLUTION: A sample of 36 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 5. Conduct the following test of hypothesis using

Question 1113265: A sample of 36 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.

H0: μ ≤ 20
H1: μ > 20
Is this a one- or two-tailed test?

"One-tailed"�the alternate hypothesis is greater than direction.
"Two-tailed"�the alternate hypothesis is different from direction.

What is the decision rule? (Round your answer to 2 decimal places.)

What is the value of the test statistic? (Round your answer to 2 decimal places.)

What is your decision regarding H0?

Reject
Do not reject

Is their (sufficient/insufficient) evidence that the population mean is greater than 20

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

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It is one-tailed, because Ha is in one direction only. equal/not equal is two-tailed.
Reject Ho if z>1.645 or 1.65
Test statistic is (x-mean)/sigma/sqrt(n)=1/5/sqrt(36)=6/5 or 1.20
Fail to reject Ho
Insufficient evidence that pop mean is > 20
p-value is 0.1151 (calculator or table)

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