Statistics Question help please

Statistics Question help please

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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