Mr. Ramirez and Ms. Jonsey gave tests to their classes with the results seen in the table.
Overall Mean Mean for Females Mean for Males Percent Females Ramirez 218 230 205 Jonsey 221 224 88
What are the missing entries? For an overall mean, Ms. Jonsey’s class is higher, but for females, the mean is higher in Mr. Ramirez’s class. Is it possible that the mean for males is higher in Mr. Ramirez’s class as well?
The hint they give me is:
To find the entry for the empty cell in the bottom row, consider the remaining percentage for Ms. Jonsey's class and how that percentage was used to determine the overall mean. For the missing entry in Mr. Ramirez's class, think algebraically about the conditions on the total percentages and how those percentages were used to obtain the overall mean for his class.
I think the means for Males in Ms. Jonsey's class is 218, but I am not sure. My professor has not answered emails and I am stuck. Can anyone please help me in understanding this problem?
Thank you in advance and I really appreciate the help I receive.