Do Prob. 1 with the last two constraints interchanged.

# Category: Physics

## A. Find the mean and standard deviation of x for

a. Find the mean and standard deviation of x for a binomial probability distribution with n = 16 and p = 0.5 ,b. Use a computer to construct the probability distribution and histogram for the binomial probability experiment with n _ 16 and p _ 0.5. ,c. Use a computer to randomly generate 200 samples of size 25 from a binomial probability distribution with n _ 16 and p _ 0.5. Calculate the mean of each sample. ,d. Construct a histogram and find the mean and standard deviation of the 200 sample means. ,e. Compare the probability distribution of x found in part b and the frequency distribution of in part d. Does your information support the CLT? Explain.

## A. Find a value for e such that 95% of

a. Find a value for e such that 95% of the apples in Exercise 7. 50 are within e units of the mean, 2.63. That is, find e such that,b. Find a value for E such that 95% of the samples of 100 apples taken from the orchard in Exercise 7. 50 will have mean values within E units of the mean, 2.63.That is, find E such that.

## A. Describe the distribution of x, height of male college

a. Describe the distribution of x, height of male college students. ,b. Find the proportion of male college students whose height is greater than 70 inches. ,c. Describe the distribution of , the mean of samples of size 16. ,d. Find the mean and standard error of the distribution.

## A. Click “1” for “# Samples.” Note the four data

a. Click “1” for “# Samples.” Note the four data values and their mean. Change “slow” to “batch” and take at least 1000 samples using the “500” for “# Samples.” ,b. What is the mean for the 1001 sample means? How close is it to the population mean, m? ,d. Does the histogram of sample means have an approximately normal shape?

## A software engineer at Neverware, a company that replaces computers

A software engineer at Neverware, a company that replaces computers in schools with terminals connected to a server, is testing a new server to see if mean download times are decreased with the new server. When he compares a random sample of 20 times to the previous standard he gets a t-statistic of – 15. ,a) Explain what the t- statistic means in this context. ,b) Look up the 0.001 lower critical value for a t-statistic with 19 df and state your conclusion about the test. ,c) Why did you probably not need to look up the critical value in b) to reach your conclusion?

## Discuss what happens to the M&D Chemicals problem (see Section

Discuss what happens to the M&D Chemicals problem (see Section 7.5) if the cost per gallon for product A is increased to $3.00 per gallon. What would you recommend? Explain.

## A shipment of steel bars will be accepted if the

A shipment of steel bars will be accepted if the mean breaking strength of a random sample of 10 steel bars is greater than 250 pounds per square inch. In the past, the breaking strength of such bars has had a mean of 235 and a variance of 400. ,a. Assuming that the breaking strengths are normally distributed, what is the probability that one randomly selected steel bar will have a breaking strength in the range from 245 to 255 pounds per square inch? ,b. What is the probability that the shipment will be accepted?

## East Coast Trucking provides service from Boston to Miami using

East Coast Trucking provides service from Boston to Miami using regional offices located in Boston, New York, Philadelphia, Baltimore, Washington, Richmond, Raleigh, Florence, Savannah, Jacksonville, and Tampa. The number of miles between each of the regional offices is provided in the following table:,The company’s expansion plans involve constructing service facilities in some of the cities where a regional office is located. Each regional office must be within 400 miles of a service facility. For instance, if a service facility is constructed in Richmond, it can provide service to regional offices located in New York, Philadelphia, Baltimore, Washington, Richmond, Raleigh, and Florence. Management would like to determine the minimum number of service facilities needed and where they should be located.,a. Formulate an integer linear program that can be used to determine the minimum number of service facilities needed and their locations.,b. Solve the integer linear program formulated in part (a). How many service facilities are required and where should they be located?,c. Suppose that each service facility can only provide service to regional offices within 300 miles. How many service facilities are required and where should they belocated?