Correct option is A
The Student's t-test is used to compare the means of two independent groups (in this case, wet and dry habitats) to determine if there is a significant difference between them. The height of the teak trees in the wet and dry habitats represents a continuous variable, and the goal is to compare the means between two independent groups (habitats). Hence, a t-test is the most appropriate statistical test.
Information Booster:
Student's t-test compares the means of two independent groups to assess if there is a statistically significant difference.
It assumes that the data from both groups are normally distributed.
The test is appropriate when you have a continuous dependent variable (e.g., height) and a binary independent variable (e.g., wet vs dry habitats).
A significant result from a t-test indicates that the two habitats (wet and dry) have statistically different average heights for the teak trees.
It is typically used in experimental designs where the researcher is comparing the effects of one factor (e.g., habitat) on a continuous outcome (e.g., height).
One-sample or paired t-tests could be used depending on the study design, but in this case, an independent two-sample t-test would be used because two separate groups (wet and dry habitats) are being compared.
Additional Knowledge:
Option 2: The Chi-square test is used to compare categorical data, not continuous variables like tree height. This test is used to evaluate the relationship between categorical variables, not the difference in means between two groups.
Option 3: Regression analysis is used to examine the relationship between one or more predictor variables and a dependent variable. While it can assess how a habitat affects tree height, it's more complex than simply comparing two means.
Option 4: Discriminant analysis is used to classify observations into predefined categories. It is not the most appropriate test for comparing the means of two groups with continuous data.
