Submit your responses to the following prompts.A market-research firm was hired to determine the percentage of people in a market area who would purchase a client’s magazine if a door-to-door sales campaign were undertaken. The firm stated that 40% would buy if contacted at home. Suppose the marketing company has tried the sales campaign at 300 randomly selected homes. (150–225 words, or 2–3 paragraphs)Assuming the market research was done properly and the 40% is representative, how many sales are expected if the publisher attempts to sell to 5,000 homes?If the market research was accurate, what is the probability that fewer than 100 individuals will buy? Use the normal approximation to the binomial.Suppose that the publisher actually sells the magazine to 70 people out of the 300 contacted. What would you conclude about the market research? About the campaign?A steel mill produces alloy sheets used for the bodies of automobiles. The mill produces sheets with an average thickness of 0.517 inches and a standard deviation of 0.037 inches. A new car model requires alloy sheets between 0.495 and 0.525 inches thick. What percentage of the sheets made by the mill will be suitable for the new car model? Explain your answer. (75 words, or 1 paragraph)The VP of HR for a large company is interested in the distribution of sick-leave hours for employees at the company. A recent study revealed that the distribution was consistent with a normal model, with a mean of 58 hours per year, and a standard deviation of 14 hours. An office manager of one division believes that during the past year, two of the division’s employees have taken excessive sick leave. One took 74 hours and the other used 90 hours. What would you conclude about the division manager’s claim, and why? (75 words, or 1 paragraph)Each month, an American household generates an average of 28 pounds of newspaper for garbage and/or recycling. Assume this is approximately normally distributed and that the standard deviation is 2 pounds. If a household is selected at random, find the probability of it generating between 27–31 pounds per month. (75 words, or 1 paragraph)Note: For each prompt, be sure to reference at least one scholarly source to support your answer. Use the Walden Undergraduate Paper Template, provided in this week’s Learning Resources, to complete this Assignment.

Select one of the following topics:Exponential functionLogarithmic functionInequalitiesShare a task – personal or professional – that could be modeled mathematically through your chosen topic. Explain how this might be used in making good decisions. Some examples might be:Exponential growth or decline of money, population or path of a rocketLogarithmic nature of sound intensityRelationships that have limitations on the quantitiesWrite a 400-word initial post and save it as a document. Submit the document for evaluation using the Module 8: Assignment: Turnitin (PLG1) page by the fourth day of the module week.Develop your initial reply for Module 8 - Discussion: What's the Function Used For? and save it as a document. Before your initial post, you must submit your document here so it can be checked through Turnitin. Once you have received a Turnitin score, wait until your instructor has updated the grade for this submission to Complete or Incomplete. If you receive a score of Complete, copy and paste the initial reply into the Module 8 - Discussion: What's the Function Used For? discussion.If you receive a score of Incomplete, wait until your instructor has provided feedback and resubmit after completing your edits.If your Turnitin score is relatively high (above 50%), you may want to learn how to avoid plagiarism (Links to an external site.) and resubmit before your instructor gives you an Incomplete.You are not attempting to score a 0% as there are only so many ways to state a simple fact. Understand your score by learning how to read The Similarity Report. (Links to an external site.)Once you have submitted again, wait for a Complete or Incomplete score from your instructor.Note: This assignment will automatically be checked through Turnitin, a service that checks your work for improper citation or potential plagiarism by comparing it against a database of web pages, student papers, and articles from academic books and publications.It is highly recommended that you submit your document to Turnitin early in the module week as you are required to submit your initial discussion post no later than the fourth day of the module week. Contact your instructor with any additional questions or if you need clarification.

A rehabilitation center researcher was interested in examining the relationship between physical fitness prior to surgery of persons undergoing corrective knee surgery and time required in physical therapy until successful rehabilitation. Patient records in the rehabilitation center were examined, and 24 male subjects ranging in age from 18 to 30 years who had undergone similar corrective knee surgery during the past year were selected for the study. The number of days required for successful completion of physical therapy and the prior physical fitness status (below average, average, above average) for each patient follow.(1) Using SAS to test whether the mean number of days for successful completion of physical therapy differ significantly among the three groups. (clarify your notation, specify hypothesis, test statistics, rejection region or p-value, and your conclusion).(2) Write down your fitted model. What do the estimated coefficients represent? (Hint: beta0 is mean of reference group, etc.)Note: Group 1 has 8 individuals, group 2 has 10 and group 3 has 6 individuals. To read in the data, you’ll need to organize the data in the format like EX1701.DAT (or page 5 of slides “onewayANOVA-2020.ppt”) as following :Group daysBA 29BA 42BA 38…AV 30AV 35…