12. Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
A) Ho: µ ≤ 22 and Ho: µ > 22, α = 0.10
B) Ho: µ ≥ 62 and Ho: µ < 62, α = 0.05
C) Ho: µ = 65 and Ho: µ

Q1: What is a p-value in testinghypothesis?
Q2: How does this p-value help us to decide to/not to reject a Null hypothesis? What might happen if we do not use this p-value in particular, when we are rejecting a Null hypothesis?
Q3: What are the limits of these p-values to decide if we have made a right decision on reje

Suppose that a company claims that their mean weekly sales are $12,250. A random sample 35 weeks yields a sample mean of with a sample standard deviation of s=$1250.
H0: m = 12,250
H1: m # 12,250
Find the criticalvaluesfor the hypothesis test. Assume that the significance level is a=0.05.
Answer: ______________

1. In the following test, the variance is known. What is the rejection rule for the null hypothesis, if the level of significance is 0.06?
H_o : Mu ,< equal to, Mu_o
H_a : Mu > Mu_o
Note: Your answer should be a sentence and include some specific value(s).
2. In the following test, the varianc

1) What are the five steps involved in classic hypothesistesting?
2) In general, what is a "Critical Value" or "Cut-Off Score" of a test statistic?
What are the criticalvalues of z for a two-tailed test (.05)?
What are the criticalvalues of z for a one-tailed test (.05)?
What are the criticalvalues of z for a two-

State a relevant and useful "Two Population" hypothesis both in Words and statistical language for each pair of the population. This Hypothesis should compare the means between each pair of these populations. For 3 populations you will have 3 pairs to compare.

Please help answer the following questions involving statistics.
1. Why do we use hypothesistesting?
2. What is a test statistic and how is it related to a critical value in hypothesistesting?
3. What is the critical region in hypothesistesting and why is it important?

What is the alternative hypothesis consistent with the claim the test subject is an expert?
Which of the following is consistent with the rule for the null hypothesis and with the alternative:
H0: p < 0.5
H0: p > 0.5
H0: p = 0.5
H0: p ? ?? 0.5
Why 0.5?
What is the critical value for the test statis

a) What is the difference between a normal distribution and a standard normal distribution?
b) What is the purpose of using a standard normal distribution instead of the normal distribution?
c) Please cite one example of how the standard normal distribution is used, including the Z-valuesfor your example.
d) If you