STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The weights of horses are approximately normal with a mean of 1, 500 lbs. and a standard deviation of 30 lbs. What is the probability that the mean weight of 36 randomly selected horses is greater than 1560 pounds?
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65.54%
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97.72%
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0%
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34.46%
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Explanation:
Detailed explanation-1: -The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25.
Detailed explanation-2: -The central limit theorem is useful when analyzing large data sets because it allows one to assume that the sampling distribution of the mean will be normally-distributed in most cases. This allows for easier statistical analysis and inference.
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