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. Which statement is NOT true? A sample of 60 is large enough for the central limit theorem to apply to the sampling distribution of the sample mean. Increasing the sample size will reduce the variability of the sample mean. Decreasing the sample size below 30 will leave the sampling distribution of the sample mean undetermined. Decreasing the sample size has no effect on the sampling distribution of the sample mean.

Explanation / Answer

Yes, Option C is not the true Statment. Option A , B and C are true because by definition of Central limit thorem , a sample size of greater than 30 is large enough and increasing the sample size will reduce the variability and the sampling distribution of sample mean will approach to the normal distribution and decreasing the sample size will increase the variability

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