I have two question here. Please just list the answers.
The following information is available.
H0: μ ≥ 220
H1: μ < 220
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.
a.
Is this a one- or two-tailed test?
Two-tailed test
One-tailed test
b.
What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
H0whenz<
c.
What is the value of the test statistic?(Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Value of the test statistic
d.
What is your decision regardingH0?
Reject
Do not reject
e.
What is thep-value?(Round your answer to 4 decimal places.)
p-value
HERE IS QUESTION NUMBER 2
Given the following hypotheses:
H0: μ ≤ 10
H1: μ > 10
A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the .05 significance level:
a.
State the decision rule.(Round your answer to 3 decimal places.)
RejectH0ift>
b.
Compute the value of the test statistic.(Round your answer to 3 decimal places.)
Value of the test statistic
c.
What is your decision regarding the null hypothesis?
H0. There isevidence to conclude that the population mean is greater than 10.
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