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
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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.)
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)
