Capacity. AA alkaline batteries typically have an average capacity of 2500 mAh. A chemist adds a new chemical in the AA alkaline batteries and claims that it will increase the capacity of the battery. To test this, 8 AA alkaline batteries have been selected and tested for the capacities.

a) The AA alkaline batteries’ capacities are 2550, 2520, 2495, 2534, 2522, 2498, 2528, and 2517 mAh to complete the test. Is the chemist’s claim true? Explain.

b) Suppose it is proven that the chemist’s claim is true after the test, but it turns out that the AA alkaline battery really does not has an average capacity more than 2500 mAh.

What kind of error has made? Explain the impact of such an error.