ew History Bookmarks People Window Help ct-Opera x Chapter 4s Assignment newconn

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ew History Bookmarks People Window Help ct-Opera x Chapter 4s Assignment newconnect.mheducation.com/flow/connect.html M MHE Reader x © Solved: Auto batteries have nment Saved Help Save & Ex Chec Problem 4S-23 Auto batteries have an average life of 3.0 years. Battery life is normally distributed with a mean of 3.0 years and a sta deviation of 0.39 year. The batteries are warranted to operate for a minimum of 2 years. If a battery fails within thew perlod, it will be replaced with a new battery at no charge. The company sells and installs the batteries. Also, the usu installation charge will be waived. Use Table A and Table B. a. What percentage of batteries would you expect to fail before the warranty period expires? (Round your z value to places. Round probabilities to 4 decimal places. Round your final answer to 2 decimal places. Omit the "%" sign ! response.) Percentage-% b. A competitor is offering a warranty of 28 months on its premium battery. The manager of this company is toying with idea of using the same battery with a different exterior, labeling it as a premium battery, and offering a 28-month warra What percentage of the batteries would you expect to fall before this new warranty period expires? (Round your z valu decimal places. Round probabilities to 4 decimal places. Round your final answer to 2 decimal places. Omit the in your response.) Percentage

Explanation / Answer

Average life, m = 3.0 years

Std life of battery life, s = 0.39 years

a) Warrantey period, x = 2 years

z = (x-m)/s = (2-3)/0.39 = -2.56

P(z<=-2.56) = NORMSDIST(-2.56) = 0.0052

Percentage = 0.52 %

c) New warranty period (x) = 28/12 = 2.33 years

z = (2.33-3)/0.39 = -1.71

P(z<=-1.71) = NORMSDIST(-1.71) = 0.0437

Percentage = 4.37 %

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