Important information about Normal Probability & Hypothesis Testing

Please use Excel and explain which test you use for problem 2 and 3 (t test, ANOVA, two tail or one tail...etc)

1.
a. The score on the entrance exam at a well-known, exclusive law school are normally distributed with a mean score of 200 and a standard deviation equal to 50. At what value should the lowest passing score be set if the school wishes only 2.5 percent of those taking the test to pass?

b. A machine is used to cut a metal automobile part to its desired length. The machine can be set so that the mean lengths of the part will be any value that is desired. The standard deviation of the lengths always runs at .02 inches. Where should the mean be set if want only .4 percent of the parts cut by the machine to be shorter than 15 inches long?

2.
Independent random samples were taken from normal distributions of the yearly production of ships built by the International Ship Building Company under (1) a fixed-position layout and (2) a project layout. The results are given in the accompanying table. Test the null hypothesis that the mean for the fixed-position layout is equal to that for the project layout. Use .05 for the level of significance.

3.
The accompanying table shows the grades for three randomly selected samples of students in economics, statistics, and accounting classes. Test the hypothesis that the mean grades are the same for all three classes. Use .05 for the level of significance.

The solution provides step by step method for the calculation of normal probability, testing of hypothesis and ANOVA. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

1) HypothesisTesting
A. For the statement: The mean amount of Pepsi in cans is at least 12 oz. Express the null hypothesis and the alternative hypothesis in symbolic form.
B. Find the z value for the following : The claim is u(mu) =12, and the sample statistics include n =36, xbar = 12.19 and s = .11
C. Determine whether

For its validity, all hypothesistesting depends heavily on the assumption that the sample that is used was drawn using probability sampling techniques.
Why is this important?
What can you do if you just cannot use a probability sampling technique? (For example, suppose there is no good sampling frame available for the popul

1. What value is business research and hypothesistesting to a company?
Start by defining business research and the steps in hypothesistesting. Then explain the value of business research and hypothesistesting using your organization as an example.
2. What is the "perfect" standard normal distribution? Explain your answer

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-values for your example.
d) If you

Hypothesis, Null and Alternative, & P-values
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 t

A sample of n=9 scores is obtained from a normal population distribution with o-=12. The sample mean is M=60.
a- with a two-tailed test and o=.05,use the sample data to test the hypothesis that the population mean is u=65.
b- with a two-tailed test and o=.05, use the ample data to test the hypothesis that the population me

1. What is the five step process for hypothesistesting? Why or why not? What is the null hypothesis? Why is it important? What are its implications? Explain. You may use examples to show your understanding.
2. Why is it said that hypothesistesting involves a double negative logic? Explain why you think that this logic is i

Consider the following hypothesis test:
Ho (null hypothesis): µ = 15
Ha (alternative hypothesis): µ ≠ 15
A sample of 25 gives a sample mean of 14.2 and sample standard deviation of 5. Answer the following questions regarding the hypothesis test.
a) At α = 0.05, what is the rejection rule?
b) Compute the value of

Please help with the following problem.
You have a sample size of 120 and the population standard deviation of 20. You are testing the null hypothesis of whether the population mean is 120 or not.
A. What are the critical values for rejection when Type I error is 5%?
B. If actual mean is 121, find the Type II error
C.

Problem:1 Suppose that x is normally distributed random variable with µ = 11 and variance = 4. Find each of the following:
a)P(10 13.24)
c)P(x < x0) 0.75 find Xo
Problem:2.Consider the following hypothesis test.
Ho: µ >; 10
Ha: µ < 10
A sample with n = 50 provides a sample mean of 9.46 and samp