# apu math302 week 7,10 ans 12 forums

week 7Suppose that the demand for a company’s product in weeks 1, 2, and 3 are each normally distributed and the mean demand during each of these three weeks is 50, 45, and 65, respectively. Suppose the standard deviation of the demand during each of these three weeks is known to be 10, 5, and 15, respectively. It turns out that if we can assume that these three demands are probabilistically independent then the total demand for the three week period is also normally distributed. And, the mean demand for the entire three week period is the sum of the individual means. Likewise, the variance of the demand for the entire three week period is the sum of the individual weekly variances. But be careful! The standard deviation of the demand for the entire 3 week period is not the sum of the individual standard deviations. Square roots don’t work that way!Now, suppose that the company currently has 180 units in stock, and it will not be receiving any further shipments from its supplier for at least 3 weeks. What is the probability that the company will run out of units?Keep in mind that your post must be made by 11:55PM EASTERN time on Wednesday during the week in which a discussion question is posed. I will evaluate your responses to each of these questions using a 0 to 10 point scale, and your contribution to each of the five Discussion Forums will count as 2 percent of the overall course grade for a total of 10 percent.My evaluation of your post will be based on the extent to which you participated and fostered a positive and effective learning environment–for yourself and others. Participating and sharing are the keys. Naturally, simply copying someone else’s post is prohibited. Your post should reflect your understanding of the question posed. In addition to the computations you employed to arrive at your response, your post must contain comments regarding the rationale for the approach you utilized. Simply listing an answer is of no real value in promoting a discussion.To make a post to this week’s Discussion Forum, click on the Using the Normal Distribution link, then click Start a New Conversation. In the title block of the dialog box that appears insert your first and last name; compose your post in the message box; and then click Post Message.week 10.5120000839233px;=”” line-height:=”” 18.7679996490479px;=”” background-color:=”” rgb(240,=”” 239,=”” 235);”=””>Political polls typically sample randomly from the U.S population to investigate the percentage of voters who favor some candidate or issue. The number of people polled is usually on the order of 1000. Suppose that one such poll asks voters how they feel about the President’s handling of the crisis in the financial markets. The results show that 575 out of the 1280 people polled say they either “approve” or “strongly approve” of the President’s handling of this matter. Based on the sample referenced above, find a 95% confidence interval estimate for the proportion of the entire voter population who “approve” or “strongly approve” of the President’s handling of the crisis in the financial markets.Now, here’s an interesting twist. If the same sample proportion was found in a sample twice as large—that is, 1150 out of 2560—how would this affect the confidence interval?Keep in mind that your post must be made by 11:55PM EASTERN time on Wednesday during the week in which a discussion question is posed. I will evaluate your responses to each of these questions using a 0 to 10 point scale, and your contribution to each of the five Discussion Forums will count as 2 percent of the overall course grade for a total of 10 percent.My evaluation of your post will be based on the extent to which you participated and fostered a positive and effective learning environment–for yourself and others. Participating and sharing are the keys. Naturally, simply copying someone else’s post is prohibited. Your post should reflect your understanding of the question posed. In addition to the computations you employed to arrive at your response, your post must contain comments regarding the rationale for the approach you utilized. Simply listing an answer is of no real value in promoting a discussion.To make a post to this week’s Discussion Forum, click on the Build a Confidence Interval Estimate link, then click Start a New Conversation. In the title block of the dialog box that appears insert your first and last name; compose your post in the message box; and then click Post Message.week 12.5120000839233px;=”” line-height:=”” 18.7679996490479px;=”” background-color:=”” rgb(240,=”” 239,=”” 235);”=””>A new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds produced by the process is greater than 0.5 karat. To evaluate the profitability of the process, a sample of six diamonds was generated using this new process, with recorded weights .46, .61, .52, .48, .57, and .54 karat. Do the six measurements present sufficient evidence to indicate that the average weight of the diamonds produced by the new process is in excess of 0.5 karat? To answer this question conduct an appropriate test of hypothesis using the five step process outlined in our textbook and utilized in the solutions to the Chapter 8 review problems, which can be accessed via the link in the Assignments, Tests & Quizzes sub-section in the weekly lesson that can be found in the Lessons section of our classroom.Keep in mind that your post must be made by 11:55PM EASTERN time on Wednesday during the week in which a discussion question is posed. I will evaluate your responses to each of these questions using a 0 to 10 point scale, and your contribution to each of the five Discussion Forums will count as 2 percent of the overall course grade for a total of 10 percent.My evaluation of your post will be based on the extent to which you participated and fostered a positive and effective learning environment–for yourself and others. Participating and sharing are the keys. Naturally, simply copying someone else’s post is prohibited. Your post should reflect your understanding of the question posed. In addition to the computations you employed to arrive at your response, your post must contain comments regarding the rationale for the approach you utilized. Simply listing an answer is of no real value in promoting a discussion.To make a post to this week’s Discussion Forum, click on the Testing a Hypothesis link, then click Start a New Conversation. In the title block of the dialog box that appears insert your first and last name; compose your post in the message box; and then click Post Message.