QUESTION 1 A manufacturer claims that the average capacity for a certain type of battery is 140 ampere- hours. An independent consumer protection agency wishes to test the credibility of the manufacturer's claim. It measures the capacity of ten randomly selected batteries from a current production batch. The results, in ampere-hours, are as follows: 138.8 139.1 141.1 139.7 137.4 140.9 138.2 139.2 136.7 141.8 i) Find the point estimate of the mean and variance of the battery capacity.

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