5. The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

a. What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.5?

b. Find an interval that includes, with probability 0.95, the average fracture strength of hundred randomly selected pieces of this glass.

c. Find n such that the probability that the average fracture strength of n randomly selected pieces of this glass exceeds 14.5 will equal to 0.95.

6. According to a survey conducted by the American Bar Association, 1 in every 410 Americans is a lawyer, but 1 in every 64 residents of Washington, D.C. is a lawyer.

a. If you select a random sample of 1500 Americans, what is the approximate probability that the sample contains at least on lawyer?

b. If the sample is selected from among the residents of Washington, D.C., what is the approximate probability the sample contains more than 30 lawyers?

c. If you stand on a Washington, D.C. street corner and interview the first 1000 persons who walked by and 30 say that they are lawyers, does this suggest that the density of lawyers passing the corner exceeds the density within the city? Explain.

The solution provides step by step method for the calculation of probability using the Z score and testing of hypothesis. Formula for the calculation and interpretation of the results are also included.

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

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

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.

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

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

http://media.pearsoncmg.com/ph/esm/esm_mcclave_sbe10e_09/applets/meanht.html
For this exercise, use n = 100 and the normal distribution with mean 50 and standard deviation 10. Each time you click on ââ?¬Å"Simulate,ââ?¬Â? the applet runs 100 hypothesis tests with the conditions you have set and reports the number of t