Medical researchers have developed a new artificial heart constructed primarily of titanium and plastic. The heart will last and operate almost indefinitely once it is implanted in the patient’s body, but the battery pack needs to be recharged about every four hours. A random sample of 50 battery packs is selected and subjected to a life test. The average life of these batteries is 4.05 hours.
Assume that battery life is normally distributed with standard deviation s = 0.2 hour. 
(a) Is there evidence to support the claim that mean battery life exceeds 4 hours? Use a = 0.05.
(b) Compute the power of the test if the true mean battery life is 4.5 hours.
(c) What sample size would be required to detect a true mean battery life of 4.5 hours if we wanted the power of the test to be at least 0.9?
(d) Explain how the question in part (a) could be answered by constructing a one-sided confidence bound on the mean life.

This paper is due on june 5 6pm CST , and it is important that alll instructions be respected . all questions atre to be responded as require and all words counts to be respected . the similarity scores cannot be more than 15% and all section are to be in APA formate. A reference page is require for each section, and it is important to clearly respond to all questions. See attachment for details on the questionsDocument Preview: 

This paper is due on June 5, 2012 at 6pm CST , and it is important to respond to all questions on each section base on U.S laws . The similarity scores cannot be more than 15%, and a reference page is require at the end of each section . It is critical that all questions and bullet points in each section be clearly responded to .SECTION AThis section should contain 400 words document , and a reference page at the end , and it is important that the similarity scores be less than 15% all in APA format.Immigration in the United StatesThe United States is a nation of immigrants. There is a great deal of controversy over issues of undocumented immigration. Using your textbook and other objective academic resources, discuss the complex issue of immigration. Write 400 words that respond to the following questions with your thoughts, ideas, and comments. Be substantive and clear, and use examples to reinforce your ideas.Include the following in your analysis:Provide a summary of the historical pattern of immigration concerns and the economy.How are certain groups targeted?What role do corporations that use cheap labor practices play at home and overseas?Does immigration pose a threat to the host nation? SECTION BThis section should contain 1000 words documents , an abstract, a running head and paper number , and a reference page all in APA format with a similarity scores of less than 15%. It is important that you address all points in the questions. In text citation is highly recommended. All four bullets points must clearly be address in this section .Discusses various cultural models in terms of immigration, such as assimilation, pluralism, and multiculturalism. What model is used today? Your analysis should include a response to the following: Discuss the assimilation, pluralism, and multiculturalism models, and include their historical timelines.How is it that certain groups in the United States never given the opportunity to “assimilate”?