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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A consumer organization collected data on two types of automobile batteries, A and B. The summary statistics for 12 observations of each type are
Â
 Assume that the data are normally distributed with ![]()
(a) Is there evidence to support the claim that type A battery mean life exceeds that of type B? Use the P-value in answering this question.
(b) Construct a one-sided 99% confidence bound for the difference in mean battery life. Explain how this interval confirms your finding in part (a).
(c) Suppose that if the mean life of type A batteries exceeds that of type B by as much as 2 months, it is important to detect this difference with probability at least 0.95 when α = 0.01. Is the choice of n1 = n2 = 12 of this problem adequate?
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