Managers at Wager Fabricating Company are reviewing the economic feasibility of manufacturing a part that the currently purchases from a supplier. Forecasted annual demand for the part is 3200 units. Wagner operates 250 days per year.

Wagner's financial analysts have established a cost of capital of 14% for the use of funds for investments within the company. In addition, over the past year $600,000 was the average investment in the company's inventory. Accounting information shows that a total of $24,000 was spent on taxes and insurance related to the company's inventory. In addition, an estimated $9000 was lost due to inventory shrinkage, which included damaged goods as well as pilferage. A remaining $15,000 was spent on warehouse overhead, including utility expenses for heating and lighting.

An analysis of the purchasing operation shows that approximately two hours are required to process and coordinate an order for the part regardless of the quantity ordered. Purchasing salaries average $28 per hour, including employee benefits. In addition, a detailed analysis of 125 orders showed that $2375 was spent on telephone, paper, and postage directly related to the ordering process.

A one-week lead time is required to obtain the part from the supplier. An analysis of demand during the lead time shows it is approximately normally distributed with a mean of 64 units and a standard deviation of 10 units. Service-level guidelines indicate that one stock-out per year is acceptable.

Currently, the company has a contract to purchase the part from a supplier at a cost of $18 per unit. However, over the past few months, the company's production capacity has been expanded. As a result, excess capacity is now available in certain production departments, and the company is considering the alternative of producing the parts itself.

Forecasted utilization of equipment shows that production capacity will be available for the part being considered. The production capacity is available at the rate of 1000 units per month, with up to five months of production time available. Management believes that with a two-week lead time, schedules can be arranged so that the part can be produced whenever needed. The demand during the two-week lead time is approximately normally distributed, with a mean of 128 units and a standard deviation of 20 units. Product costs are expected to be $17 per part.

A concern of management is that setup costs will be substantial. The total cost of labor and lost production time is estimated to be $50 per hour, and a full eight-hour shift will be needed to set up the equipment for producing the part.

Managerial Report

Develop a report for management of Wagner Fabricating that will address the question of whether the company should continue to purchase the part from the supplier or begin to produce the part itself. Include the following factors in your report:

1. An analysis of the holding costs, including the appropriate annual holding cost rate

2. An analysis of ordering costs, including the appropriate cost per order from the supplier

3. An analysis of setup costs for the production operation

4. A development of the inventory policy for the following two alternatives:

a. Ordering a fixed quantity Q from the supplier

b. Ordering a fixed quantity Q from in-plant production

5. Include the following in the policies of parts 4(a) and 4(b):

a. Optimal quantity Q*

b. Number of order or production runs per year

c. Cycle time

d. Reorder point

e. Amount of safety stock

f. Expected maximum inventory

g. Average inventory

h. Annual holding cost

i. Annual ordering cost

j. Annual cost of units purchased or manufactured

k. Total annual cost of the purchase policy and the total annual cost of the production policy

6. Make a recommendation as to whether the company should purchase or manufacture the part. What savings are associated with your recommendation as compared with the other alternative?

1) Use worksheet “baseball stats” to perform a multiple regression analysis on the dataset found in BB2011 tab, using Wins as the dependent variable, and League, ERA, Runs Scored, Hits Allowed, Walks Allowed, Saves, and Errors as candidates for the independent variables. Perform the analysis at the 5% significance level.

a) Create a full write up, where you write your statistical analysis step by step. In your write up, make sure you address the following points.

·        Methodology and steps that you took to get to your final regression equation.

·        Final regression equation output.

·        What is the final regression equation?

·        Interpret all the coefficients in the equation.

·        Speak to whether the signs on the coefficients make sense.

·        Interpret R squared.

·        Include a full residual analysis.

·        What is the residual of the Tampa Bay observation?

b) Now, use tab BB2012 to make predictions of wins in 2012, using the model you created with the 2011 stats.  

·        How many games are the Giants (SFG) expected to win in 2012?

·        Which team is predicted by the model to have the worst record in 2012?

·        Which team is predicted by the model to have the best record in 2012?

UML Diagrams

Osceola Auto Parts

Osceola Auto Parts is an independent auto parts dealer that sells auto parts, runs tests on customers’ cars,and delivers parts and tools to mechanic shops around town.

Tasks

1. Identify possible actors and use cases involved in Osceola’s business functions.

2. Using dia, create a use case diagram for Osceola’s operations.

3. Select one of the use cases and create a class diagram.

4. Using dia, create a sequence diagram for the use case you selected.

Suppose we have seven identical balls to be distributed in bins labeled  A, B, C, and D. For example, one way to distribute the balls is to place two in A, none in B, four in C, and one in D.

a) How many ways are there to distribute the balls among the four bins? Explain your answer.

b) How many ways are there to distribute the balls so that at each bin has at least one ball in it? Explain your answer.

c) How many ways are there to distribute the balls so that at least one of the bins is empty? Explain your answer.

d) How many solutions are there to the equation a + b + c + d = 7, where a, b, c, and d must be positive integers? Explain your answer.

We have independent random samples from two populations. Compute the 95% CI for the difference between the two population means. Use df = 52 , if needed.

Sample 1: n = 30 , X-bar = 40 , σ 2 = 50

Sample 2: n = 40 , X-bar = 80 , σ 2 = 30

1. A neuropsychologist believed that right-handed people would recognize objects placed in their right hands more quickly than objects placed in their left hands, when they were blindfolded. Two scores were measured. Condition 1: the number of objects the right-handed participant could recognize in two minutes using the right hand (RightRec) and Condition 2: the number of objects the right-handed participant could recognize in two minutes using the left hand (LeftRec).

a. The Null and Alternative Hypotheses (using full sentences)

b. Using sentences, present the descriptive statistics for groups in the study: for example: mean(s), Std. Deviation, Std. Error Mean, etc.

c, (APA-style) sentences. With alpha at 0.05 level, present your conclusion about the Null Hypothesis in terms of the size of the t-statistic, statistical significance, and whether it was a one-tailed or two-tailed test.

d. Conclusions. From the point of view of the researcher, do the conclusions support the research hypothesis (the Alternative)? Are you confident about the conclusions based on the data you examined?

please help, thanks.. SPSS data below for the study.

. If two heterozygous parents (i.e., both Aa) mate, they produce offspring in the expected Mendelian proportions (i.e., 1/4AA, 1/2Aa, 1/4aa). We observe a big Drosophila family of 40 offspring of which 7 are aa. i) Construct   95% confidence interval on the observed proportion of aa offspring (7/40). What does this confidence interval tell us about our null hypothesis? Hint: our null hypothesis is that Mendelian laws have not been violated. ii)   Are   7   or   fewer   offspring statistically consistent   with   Mendelian expectations?    Hint: figure out the probability of observing 7 or fewer offspring in such a family if Mendelian laws have not been violated. iii) How few offspring of type aa would we have to observe in order to be suspicious that Mendelian proportions are being violated? Is your answer a test of a one-tailed hypothesis or a two-tailed hypothesis?

All work needs to be done in Rstudio.

In her book Red Ink Behaviors, Jean Hollands reports on the assessment of leading Silicon Valley companies regarding a manager's lost time due to inappropriate behavior of employees. Consider the following independent random variables. The first variable x₁ measures manager's hours per week lost due to hot tempers, flaming e-mails, and general unproductive tensions.

The variable x₂ measures manager's hours per week lost due to disputes regarding technical workers' superior attitudes that their colleagues are "dumb and dispensable".

Use a calculator with sample mean and sample standard deviation keys to calculate x₁, s₁, x₂, and s₂. (Round your answers to two decimal places.)

(a) Does the information indicate that the population mean time lost due to hot tempers is different (either way) from the population mean time lost due to disputes arising from technical workers' superior attitudes? Use α = 0.05. Assume that the two lost-time population distributions are mound-shaped and symmetric.

(i) What is the level of significance?

What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ₁ − μ₂. Do not use rounded values. Round your final answer to three decimal places.)

(b) Find a 95% confidence interval for μ₁ − μ₂.(Round your answers to two decimal places.)

1. The U.S. Department of Transportation reported that during November, 83.4% of Southwest
Airlines’ flights, 75.1% of US Airways’ flights, and 70.1% of JetBlue’s flights arrived on time (USA
Today, January 4, 2007). Assume that this on-time performance is applicable for flights arriving at
concourse A of the Rochester International Airport, and that 40% of the arrivals at concourse Aare
Southwest Airlines flights, 35% are US Airways flights, and 25% are JetBlue flights.
a. An announcement has just been made that Flight 1424 will be arriving at gate in concourse A.
What is the most likely airline for this arrival?
c. What is the probability that Flight 1424 will arrive on time?
d. Suppose that an announcement is made saying that Flight 1424 will be arriving late. What is the
most likely airline for this arrival? What is the least likely airline?

2. In San Francisco, 30% of workers take public transportation daily (USA Today, December 21, 2005).
a. In a sample of 10 workers, what is the probability that exactly three workers take public
transportation daily?
b. In a sample of 10 workers, what is the probability that at least three workers take public
transportation daily?

3. Auniversity found that 20% of its students withdraw without completing the introductory statistics
course. Assume that 20 students registered for the course.
a. Compute the probability that two or fewer will withdraw.
b. Compute the probability that exactly four will withdraw.
c. Compute the probability that more than three will withdraw.
d. Compute the expected number of withdrawals.

4. Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways.
a. Compute the probability of receiving three calls in a 5-minute interval of time.
b. Compute the probability of receiving exactly 10 calls in 15 minutes

.
5. More than 50 million guests stay at bed and breakfasts (B&Bs) each year. The website for the Bed
and Breakfast Inns of North America, which averages seven visitors per minute, enables many
B&Bs to attract guests (Time, September 2001).
a. Compute the probability of no website visitors in a one-minute period.
b. Compute the probability of two or more website visitors in a one-minute period.

6. In a survey conducted by the Gallup Organization, respondents were asked, “What is your favorite
sport to watch?” Football and basketball ranked number one and two in terms of preference
(Gallup website, January 3, 2004). Assume that in a group of 10 individuals, seven prefer football
and three prefer basketball. A random sample of three of these individuals is selected.
a. What is the probability that exactly two prefer football?
b. What is the probability that the majority (either two or three) prefer football?

8. Adam, Bonnie, Chuck, Dave and Elaine are engineers from different companies attending a professional conference at the University of Arizona in Tucson. There are seven hotels near the campus. Each engineer will stay at a randomly picked hotel. a. What is the probability that they will all stay at the same hotel? b. What is the probability that they will all stay at different hotels? c. Adam has a crush on Bonnie, what is the probability that they will stay at the same hotel? d. What is the probability that exactly two of the five engineers will stay at the same hotel with no one else staying at a same hotel?