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An Accelerated Life Test on a Large Number of Type-D

question 74

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An accelerated life test on a large number of type-D alkaline batteries revealed that the mean life for a particular use before they failed is 19.0 hours. The distribution of the lives approximated a normal distribution. The standard deviation of the distribution was 1.2 hours. About 95.44% of the batteries failed between what two values?

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Definitions:

Subjective Probabilities

Individual assessments or beliefs about how likely events are to occur, based on personal judgment rather than objective data.

Objective Probabilities

Quantifiable likelihood or chance of an event occurring, based on statistical and empirical evidence rather than subjective judgment.

Probabilities

A measure of the likelihood that an event will occur, expressed as a number between 0 and 1, where 1 indicates certainty.

Certainty

The state of being sure or confident about something, often referencing situations in decision-making where outcomes are known.

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