FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The mean life of a tire is 30, 000 km. The standard deviation is 2000 km. Then, 68% of all tires will have a life between ____ km and ____ km.
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28, 000 km and 32, 000 km.
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24, 000 km and 34, 000 km.
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26, 000 km and 34, 000 km.
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27, 000 km and 31, 000 km.
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Explanation:
Detailed explanation-1: -The mean life of a tire is 30, 000 km. The standard deviation is 2000 km. Let the random variable X denotes the life of a tire and it is normally distributed. Therefore, 68% of all tires will have a life between 28000 km and 32000 km.
Detailed explanation-2: -Approximately 99.7% of the data fall within three standard deviations of the mean.
Detailed explanation-3: -Key Takeaways. The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
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