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A manufacturing firm claims that the batteries used in their electronic devices will last an average...

A manufacturing firm claims that the batteries used in their electronic devices will last an average of 14.5 hours. If the computed t-value falls between −t0.025 and t0.025, the firm is satisfied with its claim. To maintain this average, 8 batteries are tested each month.The following measurements were collected:

8.0 13.6 13.2 13.6

12.5 14.2 14.9 14.5

(a) Calculate the sample mean and sample variance.

(b) What conclusion should the firm draw from the sample? Assume the distribution of battery lives to be approximately normal.

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