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Answer:
about 68% of brand x’s batteries have a lifespan between 95.2 hours and 108.8 hours. about 68% of brand y’s batteries have a lifespan between 98.6 hours and 101.4 hours. the life span of brand y’s battery is more likely to be consistently close to the mean.
Explanation:
According to the empirical rule (68–95–99.7 rule) for a normal distribution, 68% of the data falls within the first standard deviation (μ ± σ).
Given for brand x, mean (μ) = 102 hours and standard deviation (σ) = 6.8 hours.
first standard deviation (μ ± σ) = 102 ± 6.8 = (95.2, 108.8)
about 68% of brand x’s batteries have a lifespan between 95.2 hours and 108.8 hours.
Given for brand y, mean (μ) = 100 hours and standard deviation (σ) = 1.4 hours.
first standard deviation (μ ± σ) = 100 ± 1.4 = (98.6, 101.4)
about 68% of brand x’s batteries have a lifespan between 98.6 hours and 101.4 hours.
Since the standard deviation of brand y is smaller than that of brand x, brand y battery is more likely to be consistently close to the mean
The lifespan of about 68% of brand x’s batteries is between 95.2 hours and 108.8 hours, and The lifespan of about 68% of brand y’s batteries is between 98.6 hours and 101.4 hours. The life span of brand y’s battery is more likely to be consistently close to the mean.
What is a battery?
A battery is a device that stores chemical energy and converts it to electrical energy. Seven different components make up a typical household battery: container, cathode, separator, anode, electrodes, electrolyte, and collector.
The chemical reactions in a battery involve the flow of electrons from one material (electrode) to another, through an external circuit. The flow of electrons provides an electric current that can be used to do work.
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