Assume that the heights of male baseball players with an unknown distribution has a mean of 55 inches and a standard deviation of 5 inches. A sample size of $\mathrm{n}=39$ players is randomily selected from the poputation. Can we use the Centrat Limit Theorem here to find the probability that the sample mean is between 55.2 inches and 55.4 inches?

Select the correct answer below:
Yes, we can use the Central Limit Theorem.
No, the Central Limit Theorem does not apply.

Step 1 ：The Central Limit Theorem (CLT) states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large (usually n > 30).

Step 2 ：In this case, the sample size is 39, which is greater than 30. Therefore, we can apply the Central Limit Theorem.

Step 3 ：\(\boxed{\text{Yes, we can use the Central Limit Theorem.}}\)