Answer: The distribution of the sample mean will be normal.
Explanation:
We know that the central limit theorem says that if the sample size is large enough, then the sampling distribution of the mean of any independent random variable will be normal or nearly normal.
The given sample size n=1500 is large and they are randomly selected from the population of dogs who grow taller than 2 feet.
So by central limit theorem, the distribution of the sample mean will be normal.