Mathematics, 21.07.2021 14:00, rrrrainy

The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new model of cell phone supplied from the manufacturer are randomly chosen and the actual standby durations are recorded as below: 48.2 47.8 45.6 47.2 49.3
51.2 44.2 45.4 49.2 43.6

The manufacturer claimed that this new model of cell phone has the mean battery standby duration of longer than 46.5 hours. Test at 1% significance level if this claim is true.

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The battery standby duration (in hours) of a new model of cell phone is known to be normally distrib...