A veterinary researcher takes an SRS of 60 horses presenting with colic. The ave

Question

A veterinary researcher takes an SRS of 60 horses presenting with colic. The average age of the 60 horses with colic is 12 years. The average age of horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of horses coming to the veterinary clinic is 8 years. After making a histogram of the ages of the horses with colic, the researcher finds a skewed distribution. The researcher decides there is no need to increase the sample size because the law of large numbers:

does not depend on the population distribution being either skewed or symmetric.

All of the above

requires a population distribution that is Normal.

depends on the sample size being just right when the population distribution is skewed.

Explanation / Answer

The law of large numbers means that when the sample size is large enough then the actual ratio of outcomes will converge on the theoretical, or expected, ratio of outcomes.

Thus the correct answer is A , as it does not depend on the population distribution being either skewed or symmetric.

requires a population distribution that is Normal : This isnt required as per the law of large numbers

depends on the sample size being just right when the population distribution is skewed. : Not true

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