Hypothesis Testing

 

1.       University of Maryland is concerned that out of state students may be receiving lower grades than Maryland students. Two independent random samples have been selected: 165 observations from population 1 (Out of state students) and 177 from population 2 (Maryland students). The sample means obtained are X1(bar)=86 and X2(bar)=87. It is known from previous studies that the population variances are 8.1 and 7.3 respectively. Using a level of significance of .01, is there evidence that the out of state students may be receiving lower grades? Fully explain your answer.

 

 Simple Regression

 

2.      2. A CEO of a large plastics manufacturing company would like to determine if she should be placing more money allotted in the budget next year for television advertising of a new baby bottle marketed for controlling reflux and reducing gas. She wonders whether there is a strong relationship between the amount of money spent on television advertising for this new baby bottle called Gentle Bottle and the number of orders received. The manufacturing process of this baby bottle is very difficult and requires advanced quality control so the CEO would prefer to generate a stable number of orders. The cost of advertising is always an important consideration in the phase I roll-out of a new baby bottle. Data that have been collected over the past 20 months indicate the amount of money spent of television advertising and the number of orders received.

 

The use of linear regression is a critical tool for a manager’s decision-making ability. Please carefully read the example below and try to answer the questions in terms of the problem context. The results are as   follows: Month	Advertising Cost	Number of Orders
1	$77,430.00	2,902,000
2	62,620	1,800,000
3	69,580	1,299,000
4	50,670	1,430,000
5	69,180	1,367,000

 

 

 

6	73,140	2,011,000
7	83,370	3,888,000
8	78,880	2,935,000
9	64,990	1,555,000
10	77,230	3,654,000
11	61,380	1,598,000
12	62,900	1,967,000
13	63,270	1,899,000
14	89,190	3,245,000
15	60,030	1,934,000
16	79,210	2,853,000
17	65,770	1,625,000
18	84,530	3,778,000
19	79,760	2,999,000
20	82,640	3,834,000

 

a. Set up a scatter diagram and calculate the associated correlation coefficient. Discuss how strong you think the relationship is between the amount of money spent on television advertising and the number of orders received. Please use the Correlation procedures within Excel under Tools > Data Analysis. The Scatterplot can more easily be generated using the Chart procedure.

 

NOTE: If you do not have the Data Analysis option under Tools you must install it. You need to go to Tools select Add-ins and then choose the 2 data toolpak options. It should take about a minute.

 

b. Assuming there is a statistically significant relationship, use the least squares method to find the regression equation to predict the advertising costs based on the number of orders received. Please use the regression procedure within Excel under Tools > Data Analysis to construct this equation.

 

c. Interpret the meaning of the slope, b1, in the regression equation.

 

d. Predict the monthly advertising cost when the number of orders is 1,800,000. (Hint: Be very careful with assigning the dependent variable for this problem)

 

e. Compute the coefficient of determination, r2, and interpret its meaning.

 

f. Compute the standard error of estimate, and interpret its meaning.

 

g. Do you think that the company should use these results from the regression to base any corporate decisions on?….explain fully.

 

 

 

Hypothesis Testing on Multiple Populations

 

3. The ABC Tutoring Director wants to use a new tutorial to teach middle school students about basic algebraic techniques. As an experiment she randomly selected 18 students and randomly assigned them to one of three groups which include either a PowerPoint presentation created by the classroom teachers, WebEx Presentation created by an outside contractor, or a well known tutorial by the EducTrain company. After completing their assigned tutorial, the students are given a basic algebraic methods quiz. At the .01 significance level, can she conclude that there is a difference between how well the different tutorials work for the middle school students?

 

Students Grades on the Algebraic Methods Quiz following the Tutorial PowerPoint Tutorial	WebEx Tutorial		EducTrain Tutorial
88	79		96
94	86		78
91	75		89
88	83		96
98	74		97
84		72
90

 

 

 

I attached a file which needed to be answered and must follow these rules :

1- using APA style

2- in text citation

3- have at least 5 references which used in paragraph body as a citation

4- words not less than 1250 words

5-clear all the quastion in the case study

Assignment 3: Criminal Laws and the Court System

Criminal law is a system that has evolved due to societal needs. This cycle of development begins when laws are enacted at the legislative stage. The laws are then enforced by law enforcement and are later applied by the judiciary. Many a times, laws are determined at the legislative stage but are developed in the courtroom. Both the processes are equally important in the criminal justice system. You may have your own thoughts on which one is more important.

Through this writing assignment, you will explore the evolution of criminal laws and their effects on the court system.

Tasks:

Select one of the two options listed for this assignment. Each option focuses on different aspects. The first one is related to the legislative process while the second gives you a chance to focus only on the current laws in your state.

Option 1: The Evolution of the Criminal Court System: The Legislative Process

This writing assignment involves exploring the legislative evolution of DUI laws in a specific state of your choice.

Perform the following tasks:

Step 1: Conduct a research on the process of legislation in your state or any other state of your choice and on the impact of this process on the DUI or Driving While Intoxicated (DWI) laws in the courtroom.

Your research should provide an explanation on the legislative process, the past and current DUI laws, and the source for any changes in your state of choice.

Step 2: Write a two-page paper.

In a Microsoft Word document, provide the following information:

• A description of the process of how legislation is created in the state you have chosen and how the legislation affects the court system
• An explanation of the history of DUI laws in the state you have chosen, including the dates of the first DUI law and the first penalty
• A description of the current DUI law, any change that was made to the law, the court of the state that prosecutes DUI cases, and the penalties for DUI laws
• The reasons for the evolution of the DUI laws and for the changes made to them

Trade Dress

 

Gateway, Inc. sells computers, computer products, computer peripherals, and computer accessories throughout the world. By 1988, Gateway had begun its first national advertising campaign using black and white cows and black and white cow spots. By 1991, black and white cows and spots had become Gateway’s symbol. The next year, Gateway registered a black and white cow spots design in association with computers and computer peripherals as its trademark. Companion Products, Inc. (CPI), sells stuffed animals trademarked as “Stretch Pets.” Stretch Pets have an animal’s head and an elastic body that can wrap around the edges of computer monitors, computer cases, or televisions. CPI produces sixteen Stretch Pets, including a polar bear, a moose, several dogs and a penguin. One of CPI’s top selling products is s black and white cow that CPI identifies as “Cody Cow,” which was first sold in 1999. Gateway filed a suit in a federal district court against CPI, alleging trade dress infringement and related claims. What is “trade dress”? What is the major factor in cases involving trade dress infringement? Does that factor exist in this case?

 

Justify your answers using information from your reading and be sure to:

 

• Discuss the definition of trade dress.
• Discuss the elements of trade dress and how the elements directly relate to the above case.