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A manufacturer claims that his television will have an average lifetime of at least 5 years....

A manufacturer claims that his television will have an average lifetime of at least 5 years. The standard deviation is 8 months. 64 sets were selected at random and their average lifetime was found to be 59 months. Is the manufacturer correct? Use α = 0.025.

(If you used TI-83 please include calculations )

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