A sample of 36 observations is selected from a normal population. The sample mean is 12, and

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A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the .01 significance level.

H0: µ ≤10

H1: µ >10


(a) Is this a one- or two-tailed test?

(b) What is the decision rule?

(c) What is the value of the test statistic?

(d) What is your decision regarding H0?

(e) What is the p-value? Interpret it.


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