Kelly wants to know if the number of words on a page in her geometry book is generally more than the number of words on a page in her science 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.
Book Mean Median Mean absolute deviation
Geometry 42.9 40 1.2
Science 48.5 42 9.3
Kelly claims that because the mean number of words on each page in the science book is greater than the mean number of words on each page in the geometry book, the science book has more words per page. Based on the data, is this a valid inference?
No, because the mean is larger in the science book
No, because there is a lot of variability in the science book data
Yes, because the mean is larger in the science book
Yes, because there is a lot of variability in the science book data