A simple random sample of 200 items from a population with a population s.d. of 10 ended with a sample mean xbar=10.22.

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A simple random sample of 200 items from a population with a population s.d. of 10 ended with a sample mean xbar=10.22.
For the hypothesis test: H0: m ≤ 12 v.s. Ha: m < 12 and a = 0.10,
a)Computer the value of the test statistic.
b)What is the rejection (decision) rule by using the critical value approach? Explain why for credit.
c)What is the conclusion by using the critical value approach? (need to state the reason, says since the test statistic z* or t* = x.xx which is greater (less) than the critical value y.yy. We conclude mmmmmm)
d)What is the p-value?
e)What is the conclusion by using the p-value approach? (need to state the reason for credit, says since the p-value is x.xx which is greater (less) than the alpha value of y.yy. We conclude mmmmmm)
A simple random sample of 10 items from a normal population (which implies xbar will follow a normal distribution) as follows: 5, 10, 16, 14, 11, 4, 7, 9, 3, 12
For the hypothesis test: H0: m ≥ 10 v.s. Ha: m < 10 and a = 0.10,
f)Computer the value of the test statistic.
g)What is the rejection (decision) rule by using the critical value approach? Explain why for credit.
h)What is the conclusion by using the critical value approach? (need to state the reason, says since the test statistic z* or t* = x.xx which is greater (less) than the critical value y.yy. We conclude mmmmmm)
i)What is the p-value?
j)What is the conclusion by using the p-value approach? (need to state the reason for credit, says since the p-value is x.xx which is greater (less) than the alpha value of y.yy. We conclude mmmmmm)