8.48 A manufacturing firm claims that the batteries used in their electronic games will last an average of 30 hours. To maintain this average, 16 batteries are tested each month. If the computed t-value falls be- tween -to.025 and to.025, the firm is satisfied with its claim. What conclusion should the firm draw from a sample that has a mean of 27.5 hours and a stan- dard deviation of s 5 hours? Assume the distribution of battery lives to be approximately normal.

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Chapter1: Combinatorial Analysis
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**Problem 8.48**

A manufacturing firm claims that the batteries used in their electronic games will last an average of 30 hours. To maintain this average, 16 batteries are tested each month. If the computed t-value falls between \(-t_{0.025}\) and \(t_{0.025}\), the firm is satisfied with its claim. What conclusion should the firm draw from a sample that has a mean of \(\bar{x} = 27.5\) hours and a standard deviation of \(s = 5\) hours? Assume the distribution of battery lives to be approximately normal.
Transcribed Image Text:**Problem 8.48** A manufacturing firm claims that the batteries used in their electronic games will last an average of 30 hours. To maintain this average, 16 batteries are tested each month. If the computed t-value falls between \(-t_{0.025}\) and \(t_{0.025}\), the firm is satisfied with its claim. What conclusion should the firm draw from a sample that has a mean of \(\bar{x} = 27.5\) hours and a standard deviation of \(s = 5\) hours? Assume the distribution of battery lives to be approximately normal.
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