Macy wants to know if the number of words on a page in her grammar book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.

Mean Median Mean Absolute Deviation
Grammar 49.7 41 8.4
Math 34.5 44 1.9

She claims that because the mean number of words on each page in the grammar book is greater than the mean number of words on each page in the math book, the grammar book has more words per page. Based on the data, is this a valid inference?