Business Mathematics IIHomework 7Business Mathematics IIHomework 7Prepared forMath 115b, Section: Instructor: Date: ByTeam: We, the undersigned, maintain that each of us participated fully and equally in the completion of this assignment and that the work contained herein is original. Furthermore, we acknowledge that sanctions will be imposed jointly if any part of this work is found to violate the Student Code of Conduct, the Code of Academic Integrity, orthe policies and procedures established for this course. ______________________________ ______________________________Name (printed) Signature______________________________ ______________________________Name (printed) Signature______________________________ ______________________________Name (printed) Signature______________________________ ______________________________Name (printed) Signature1. (Exercise 11 in The Sample Mean) The plot on p.5 of The Sample Mean shows that the graph of Zf is symmetric about the vertical axis. Use this fact to compute )0( ZP .Solution. 2. (Exercise 1 in Normal Distributions) Use Integrating.xls to compute)391.2127.0( ZP.Solution. 3. (i) Use Integrating.xls to compute )Z1or 1( ZP. (ii) Can you use the symmetry of the standard normal density about 0 to eliminate the need for two separate integrations?Solution. 4. The mean and standard deviation of a sample of 100 observations of a random variableX are 15.6 and 18.1 respectively. Use these results to find a 95% confidence interval forX.Solution. 5. (Exercise 11 in Normal Distributions) Use Integrating.xls to find a number 3z such that 99.0)(3zZP.Solution. 6. (Exercise 15 in Normal Distributions) Let X be a normal random variable with a mean of 90 and a standard deviation of 8.5. Use Integrating.xls to compute 9885( XP) and to display a graph of
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