An advertisement claims that the average service life of a premium battery exceeds that of ordinary battery by at least 1.5 years. To test his claim, 32 units of each type of battery are tested under the same conditions. Premium battery had an average service life of 3.5 years while ordinary battery had an average service life of 2.15 years. Test the advertisement’s claim using a 0.05 level of significance. Assume normal distribution for each sample with standard deviations of 0.25 and 0.20 years, respectively.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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An advertisement claims that the average service life of a premium battery exceeds that of
ordinary battery by at least 1.5 years. To test his claim, 32 units of each type of battery are
tested under the same conditions. Premium battery had an average service life of 3.5 years
while ordinary battery had an average service life of 2.15 years. Test the advertisement’s claim
using a 0.05 level of significance. Assume normal distribution for each sample with standard
deviations of 0.25 and 0.20 years, respectively.

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