A veterinary researcher takes an SRS of 60 horses presenting

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 was determined to be 10 years. The researches also determined that the standard deviation of horses coming into the 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:

a. requires a population distribution that is normal

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

c. all of the above

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

Solution

a is false. The law of large numbers is applicable to other distributions as well

c. is false as a is false.

b. is false. The law of large numbers states that the mean converges as the sample size increases.

d. is true, as the law of large numbers does not depend on the population distribution being skewed or symmetric. It will converge to the mean.