Suppose we are testing the null hypothesis H0: ? = 13 against the alternative Ha: ? > 13 from a normal population with known standard deviation ?=5. A sample of size 256 is taken. We use the usual z...

Suppose we are testing the null hypothesis H0: ? = 13 against the alternative Ha: ? > 13 from a normal population with known standard deviation ?=5. A sample of size 256 is taken. We use the usual z statistic as our test statistic. Using the sample, a z value of 2.636 is calculated. (Remember z has a standard normal distribution.)


a) What is the p value for this test?
b) Would the null value have been rejected if this was a 1% level test?

c) Would the null value have been rejected if this was a 0.1% level test?

d) What was the value of x calculated from our sample?