If we recreated the scene from Fast & Furious 7 and dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away?

(Using R Scholar) For each of the distributions, begin by creating 1000 random samples, each of size ?. Then, for each of the 1000 samples, you will calculate the sample average, ?̅. After calculating 1000 different ?̅’s, you will be able to make a histogram and normal probability plot of the ?̅ values and thus visualize the distribution of ?̅. The goal is to see what value of ? is large enough for the distribution of ?̅ to become approximately normal. Notice that this value of ? depends on the population distribution. To determine the value of ? required, your simulations will start from a small ? and progress to larger ?'s. You will assess the normality based on the plots for each ? and continue until either you have finished the values of ? listed or increased the values until observing sufficient normality in the plots.

For each of the distributions below, you will complete the following: (0.2 points) Code: You only need to provide one code listing for each distribution (i.e. you don’t need to repeat the code for each choice of ?).

2. (0.5 points) Histogram/normal probability plots For each of the values of ?, submit a histogram (with the two colored curves) and a normal probability plot. For each of the graph pairs, indicate whether they appear sufficiently normal or not. No explanation is required. Make sure you increase ? until the distribution of ?̅ appears sufficiently normal.

3. (0.3 points) Summary table This table contains the experimental mean and standard deviation calculated from the data (output is required for each value of ?) and the theoretical mean and standard deviation calculated from Equations 1 (with work for one of the values for each distribution where ? ≠ 1). The format for this table for Part B is below. Make sure you increase ? until the distribution of ?̅ appears sufficiently normal.

A. (1 points) Standard Normal Distribution. ? = 1, 3, 7 and 15.

B. (1 points) Uniform distribution over the interval (0, 8). ? = 1, 3, 7 and 15.

C. (1 points) Gamma distribution with parameters ? = ?. ?? and ? = ?. ? = 1, 5, 10, 20, 40, and continue in intervals of 20 if needed until the shape becomes normal. This distribution has population mean and standard deviation of ? = 1.805, ? = 0.95.

D. (1 points) Poisson distribution with parameter ? = ?. ?. ? = 1, 5, 10, 20, 40, and continue in intervals of 20 if needed until the shape becomes normal.

1. The sample you were given in class comes from Data Set 14 “Oscar Winner Age” in your textbook. They are the ages of winners of the Best Actress and Best Actor for the Oscars. Below, please record the sample statistics below and then use them to answer the questions that follow. If you did not receive a sample, please email your instructor for a data set.

                Sample number                                

2. Using the data above based on your samples of Best Actress and Best Actor winners, compute a 95% confidence interval for mean age μ of the Best Actor winners and determine the margin of error.

3. Using the data calculated on page 1 based on your sample of Best Actress winners, test the claim at α = 0.05 significance level that the mean age of Best Actress winners is greater than 40.
   1. State the null hypothesis and alternative hypothesis.

                                H₀:                                                         

                                H₁:                                                         

2. Determine the test statistic and the P‐Value

                                Test Statistic:                                                                    

                                P‐Value:                                                                              

3. Make a decision about the null hypothesis. Briefly justify your answer.
4. Write a conclusion that incorporates the original claim directly.

Describe a situation where you would use a Chi-squared test by stating

1. your sample and two variables or two samples and one variable,

2. whether or not the test would be one of homogeneity or independence,

3. Both a null and an alternative hypotheses, and

4. a significance level. Then find

5. the degrees of freedom of your chi-squared statistic,

6. the rejection region for your test and state

7. what a chi-squared statistic value in this region would imply for your test. Remember that you do not need to list the values of the variable for individuals in either the samples or the population, and that the value for 4 does not need to be calculated, only stated.

BASIC NET PRESENT VALUE ANALYSIS

Cornell Green, process engineer, knows that the acceptance of a new process design will depend on its economic feasibility. The new process is designed to improve environmental performance. On the negative side, the process design requires new equipment and an infusion of working capital. The equipment will cost $300,000, and its cash operating expenses will total $60,000 per year. The equipment will last for seven years but will need a major overhaul costing $30,000 at the end of the fifth year. At the end of seven years, the equipment will be sold for $24,000. An increase in working capital totalling $30,000 will also be needed at the beginning. This will be recovered at the end of the seven years.

On the positive side, Cornell estimates that the new process will save $135,000 per year in environmental costs (fines and cleanup costs avoided). The cost of capital is 10 percent.

Required:

1. Prepare a schedule of cash flows for the proposed project. Assume that there are no income taxes.

2. Compute the NPV of the project. Should the new process design be accepted?

Please review the following scenario and place yourself in the position of the new Human Resource Manager for Acme Manufacturing. Once you understand the circumstances of the problems in this organization, please respond to the questions that the General Manager has posed.

Scenario: You just started work as the new Human Resources Manager for Acme Manufacturing, a Fortune 1,000 company. The job was vacant for 6 months prior to your hiring. You have wondered about this, especially since reading about employee harassment incidents and fights recently in the news.

The General Manager (GM) calls you into his office the minute you arrive. He shuts the door after saying a quick word of welcome and begins to tell you about an incident that happened last week that needs your immediate attention. The company's manufacturing operation runs three shifts of production workers so that the plant is operating 24/7. Over the past 6 months, hostilities have arisen between employees on the third and first shifts. What started out as jeering and criticisms by the first shift, claiming they have to clean up the mess and complete all of the work left undone by the third shift, has escalated to physical confrontations and altercations. Although the GM says that aggressive bantering back and forth is common for shift workers in manufacturing, he admits that he is worried about further violent escalation. The GM says he needs your help.

• Where do you think that this evaluation should begin? In your reply, explain your reasoning.
• Explain the different levels of disciplinary actions that will be used for the Acme Manufacturing Company. Your reply should include the levels of discipline and 1 example of a disciplinary action for each level.
• How would you determine the disciplinary action appropriate for the employees involved in this scenario? Your response should include your reasoning.
• Why would you draft policies and procedures associated with disciplinary actions for the workplace? Provide a minimum of 2 reasons in your response.
• How would you ensure that the entire workforce is trained on these new policies and procedures? Provide 1 example in your response.

Write a 5–7-page memo to the GM that provides your responses to his questions above. Be sure to cite any references used in proper APA format.

Please review the following scenario and place yourself in the position of the new Human Resource Manager for Acme Manufacturing. Once you understand the circumstances of the problems in this organization, please respond to the questions that the General Manager has posed.

Scenario: You just started work as the new Human Resources Manager for Acme Manufacturing, a Fortune 1,000 company. The job was vacant for 6 months prior to your hiring. You have wondered about this, especially since reading about employee harassment incidents and fights recently in the news.

The General Manager (GM) calls you into his office the minute you arrive. He shuts the door after saying a quick word of welcome and begins to tell you about an incident that happened last week that needs your immediate attention. The company's manufacturing operation runs three shifts of production workers so that the plant is operating 24/7. Over the past 6 months, hostilities have arisen between employees on the third and first shifts. What started out as jeering and criticisms by the first shift, claiming they have to clean up the mess and complete all of the work left undone by the third shift, has escalated to physical confrontations and altercations. Although the GM says that aggressive bantering back and forth is common for shift workers in manufacturing, he admits that he is worried about further violent escalation. The GM says he needs your help.

• Where do you think that this evaluation should begin? In your reply, explain your reasoning.
• Explain the different levels of disciplinary actions that will be used for the Acme Manufacturing Company. Your reply should include the levels of discipline and 1 example of a disciplinary action for each level.
• How would you determine the disciplinary action appropriate for the employees involved in this scenario? Your response should include your reasoning.
• Why would you draft policies and procedures associated with disciplinary actions for the workplace? Provide a minimum of 2 reasons in your response.
• How would you ensure that the entire workforce is trained on these new policies and procedures? Provide 1 example in your response.

Write a 5–7-page memo to the GM that provides your responses to his questions above. Be sure to cite any references used in proper APA format.

In (1) one page or less, discuss your thoughts on the relevance of having a good pedagogical and learning styles match and its importance in a successful tutor/tutee relationship.

Kaneko has two groups. She randomly assigns subjects to her two groups. She has one group read a news article about the importance of a public speaking classes to one’s ability to get a job, while the other group reads a news article about a recent college football game that took place at her university. Then she asks both groups to rate how important they believe a public speaking class is to one’s ability to get a job(0-50). She thinks the groups will be different but does not make a specific prediction about the direction of the difference. She wants to use α = .01. Public SpeakingGroupFootball GroupMean4530s64n4035a.What test should Kaneko use?b.Write out Kaneko’s null and alternative hypotheses in formula form.c.What is the calculated value?d.What is the critical value using α = .01?e.Make a statistical and substantive conclusion for the above problem.f. Calculate eta-square and omega-square for this problem. Interpret what these numbers mean.

Dr. Alyx Hemmings is employed by Mesa Dental. Mesa Dental recently installed a computerized job-order costing system to help monitor the cost of its services. Each patient is assigned a job number when he or she checks in with the receptionist. The receptionist-bookkeeper notes the time the patient enters the treatment area and when the patient leaves the area. This difference between the entry and exit times is the number of patient hours used and the direct labor time assigned to the dental assistant. (A dental assistant is constantly with the patient.) The direct labor time assigned to the dentist is 50 percent of the patient hours. (The dentist typically splits her time between two patients.)

The chart filled out by the dental assistant provides additional data that is entered into the computer. For example, the chart contains service codes that identify the nature of the treatment, such as whether the patient received a crown, a filling, or a root canal. The chart not only identifies the type of service but its level as well. For example, if a patient receives a filling, the dental assistant indicates (by a service-level code) whether the filling was one, two, three, or four surfaces. The service and service-level codes are used to determine the rate to be charged to the patient. The costs of providing different services and their levels also vary.

Costs assignable to a patient consist of materials, labor, and overhead. The types of materials used—and the quantity—are identified by the assistant and entered into the computer by the bookkeeper. Material prices are kept on file and accessed to provide the necessary cost information. Overhead is applied on the basis of patient hours. The rate used by Mesa Dental is $32 per patient hour. Direct labor cost is also computed using patient hours and the wage rates of the direct laborers. Dr. Hemmings is paid an average of $60 per hour for her services. Dental assistants are paid an average of $20 per hour. Given the treatment time, the software program calculates and assigns the labor cost for the dentist and her assistant; overhead cost is also assigned using the treatment time and the overhead rate.

The overhead rate does not include a charge for any X-rays. The X-Ray Department is separate from dental services; X-rays are billed and costed separately. The cost of an X-ray is $12 per film; the patient is charged $15 per film. If cleaning services are required, cleaning labor costs $35 per patient hour.

Glen Johnson, a patient (Job 267), spent 30 minutes in the treatment area and had a two-surface filling. He received two Novocaine shots and used three ampules of amalgam. The cost of the shots was $14 ($7 each). The cost of the amalgam was $6 per ampule. Other direct materials used are insignificant in amount and are included in the overhead rate. The rate charged to the patient for a two-surface filling is $110. One X-ray was taken.

Required:

1. Prepare a job-order cost sheet for Glen Johnson. If required, round your answers to the nearest cent. If an answer box does not require an entry, leave it blank.

What is the cost for providing a two-surface filling?
$_____

What is the gross profit earned?
$____

2. Suppose that the patient time and associated patient charges are given for the following fillings:

Compute the cost for each filling and the gross profit for each type of filling. Assume that the cost of Novocaine is $14 for all fillings. Ampules of amalgam start at two and increase by one for each additional surface. Assume also that only one X-ray film is needed for all four cases. When required, round intermediate calculations and final answers to the nearest cent.