The manufacturer of a particular battery pack for a laptop computer claims the battery pack can function for 8 hours, on the average, before having to be recharged. A random sample of 36 such battery packs was selected and tested. The mean and standard deviation were found to be 6 hours and 1.8 hours, respectively.
Find a 90% confidence interval for the true average time the battery pack can function before having to be recharged.
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Based on the interval above, can the manufacturer's claim be rejected?
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Explain.
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