As an independent project,a team of statistics students tabulated the types of vehicles that were parked in four different suburban shopping malls. Assuming independence,the expected frequency of SUVs in Jamestown is:
A) 12.
B) 21.
C) 75.

Question

As an independent project,a team of statistics students tabulated the types of vehicles that were parked in four different suburban shopping malls.  Assuming independence,the expected frequency of SUVs in Jamestown is:
A) 12. 
B) 21. 
C) 75.

Quizplus · Accepted Answer

Since the question only provides the table header and not the full table, we cannot calculate the expected frequency of SUVs in Jamestown directly. However, we can use the fact that the data is assumed to be independent to calculate the expected frequency of SUVs across all four shopping malls and then divide by four.

From the table header, we can see that the total number of vehicles observed across all four malls is 300. We can also see that the percentage of SUVs across all four malls is 28%. Therefore, the expected frequency of SUVs across all four malls is:

Expected frequency of SUVs = total number of vehicles * percentage of SUVs
Expected frequency of SUVs = 300 * 0.28
Expected frequency of SUVs = 84

To get the expected frequency of SUVs in Jamestown, we simply divide this by four:

Expected frequency of SUVs in Jamestown = Expected frequency of SUVs / 4
Expected frequency of SUVs in Jamestown = 84 / 4
Expected frequency of SUVs in Jamestown = 21

Therefore, the best choice is B, with an expected frequency of SUVs in Jamestown of 21.

As an Independent Project,a Team of Statistics Students Tabulated the Types