Kim wants to know if the number of words on a page in her math book is generally more than the number of words on a page in her poetry 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.
Kim claims that because the mean number of words on each page in the math book is greater than the mean number of words on each page in the poetry book, the math book has more words per page. Based on the data, is this a valid inference?
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No, because there is a lot of variability in the math book data
No, because the mean is larger in the math book
Yes, because the mean is larger in the math book
Yes, because there is a lot of variability in the math book data