Samples of size n = 1500 are randomly selected from the

Question

population of dogs who grow taller than 2 feet, and the mean of heights is found for each sample. What is the distribution of the sample mean?
(1 point)
• distribution skewed to the left
• distribution skewed to the right
• uniform distribution
• normal distribution

Answer 1

According to the Central Limit Theorem, when samples are taken from a population with a finite mean and variance, the distribution of the sample means will tend to be normally distributed as the sample size increases, regardless of the shape of the population distribution.

Since you have a sample size of \( n = 1500 \), which is quite large, the distribution of the sample mean will be approximately normal.

Thus, the correct answer is:

• normal distribution