Question

we suspect the overall mean monthly rent of apartments in shadyside is higher than in oakland, so we survey a random sample of oakland apartments, and a random sample of shadyside apartments. which of the following is the most appropriate statistical test to use to determine if the overall mean monthly rent of apartments in shadyside is higher than in oakland? a. two - sample t - test b. chi - squared test for independence c. inference for regression d. matched pairs t - test e. anova

Explanation:

• Two - sample t - test:
• This test is used when comparing the means of two independent groups. In this case, we have two independent samples (Oakland apartments and Shadyside apartments) and we want to compare their mean monthly rents.
• Chi - squared test for independence:
• This test is used to determine if there is an association between two categorical variables. Here, we are dealing with means (a numerical variable), not categorical variables, so this test is not appropriate.
• Inference for regression:
• Regression is used to model the relationship between a dependent variable and one or more independent variables. We are not trying to model a relationship but just compare two means, so this is not the right test.
• Matched pairs t - test:
• This test is used when the samples are paired (e.g., before - and - after measurements on the same subjects). The two samples (Oakland and Shadyside apartments) are independent, not paired, so this test is not suitable.
• ANOVA:
• ANOVA is used to compare the means of more than two groups. We have only two groups (Oakland and Shadyside), so ANOVA is over - kill.

Answer:

A. Two - sample t - test