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12. The mean life of a battery used in a digital clock is 305 days. The lives of the batteries follow the normal distribution. The

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12. The mean life of a battery used in a digital clock is 305 days. The lives of the batteries follow the normal distribution. The battery was recently modified to last longer. A sample of 20 the modified batteries had a mean life of 311 days with a standard deviation of 12 days. Did the modification increase the mean life of the battery

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