Two Means - Unknown, Equal Variance: Videos & Practice Problems

A botanist is studying the average height of a particular plant species in two different forests. In forest X, a sample of $22$ plants has a mean height of $54.3$ $\text{cm}$ and a standard deviation of $8.7$ $\text{cm}$. In forest Y, a sample of $28$ plants has a mean height of $58.9$ $\text{cm}$ and a standard deviation of $10.2$ $\text{cm}$. At $\alpha =0.05$, can you conclude that there is a significant difference in mean plant height between the two forests? Assume equal population variances.