Name: _______________________________________ Directions: Solve the following problems and answer the following questions. Document, justify or otherwise explain any calculations and computations. Even if working as a group, each group member must still submit her or his own copy of the solutions as documentation. Using appropriate technology is encouraged when appropriate; however, such work must be fully documented or explained. Software printouts or spreadsheet copies should include your name within the text so to verify the work as your own. Your work must be submitted electronically here through this ASSIGNMENT function within BLACKBOARD, right where you obtained this file. Follow the prompts. #1: The Basic Skills Coordinator at Port Pinelands College wants to sample the incoming standardized entrance exam scores for its prospective first-year students, from among the many who applied; she wants her estimate of the population mean of all standardized entrance exam scores to be within 4 points of the true value. She has determined from prior research that the population standard deviation is 24 points. With 95% confidence, what is the minimum number of scores she needs to sample in her research? [COMMENTS & HINTS: Round appropriately.] #2: The Basic Skills Coordinator at the College of the Skylands wants to sample the incoming standardized entrance exam scores for its prospective first-year students, from among the many who applied; he wants his estimate of the population mean of all standardized entrance exam scores to be within 3 points of the true value. He has determined from prior research that the population standard deviation is 25 points. With 90% confidence, what is the minimum number of scores he needs to sample in his research? [COMMENTS & HINTS: Round appropriately.] #3: The Gatsby College student newspaper, The Gazette Coronet, conducted a survey of regional winter recreation resorts about the package price it publishes for students' winter break excursions. Evan the editor-in-chief collected a random sample of size 25 and computed the following sample measures describing it: the mean average price for such packages at $225 with a standard deviation of $40. Construct a 98% confidence interval to estimate the true (population) mean average package price on winter break resort packages for students. #4: Bea-Marie, the Retail Manager for the Stores at the University of the Poconos wants to conduct a survey to find out what percentage or proportion of its paying customers still prefer plastic shopping bags despite the environmental issues surrounding them. Inez the Intern is helping her with this customer research, and both women want to be 99% confident with the results, presuming a 10% margin of error, or maximum error of the estimate. How large a sample of paying customers should they collect? [COMMENTS & HINTS: Unfortunately a sample proportion was unavailable, so consider a default option. Round appropriately.] #5: The Gatsby College student newspaper, The Gazette Coronet, conducted a survey of regional winter recreation resorts about how many days each was in operation with snow-covered outdoor terrain last season, which was a reasonably typical winter weather-wise in the area. From weather bureau records, the population variability in the number of days with snow cover was summarized as a standard deviation of 14 days. A random sample of 49 resorts Revised 4/28/2017 Reprinted 5/2/2017 yielded a sample mean of 75 operational days with snow-covered terrain. Estimate the true (population) mean number of average days with snow-covered terrain with 88% confidence, expressing the results as an interval. Scoring Rubric for AC07: ## Components: #1 Adequate, accurate solution, complete and correct #2 Adequate, accurate solution, complete and correct #3 Adequate, accurate solution, complete and correct #4 Adequate, accurate solution, complete and correct #5 Adequate, accurate solution, complete and correct TOTAL: Revised 4/28/2017 Values: 4.0 points 4.0 points 4.0 points 4.0 points 4.0 points 20 points Credit: Reprinted 5/2/2017