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Melissa wants to know if the number of words on a page in her geography 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
Geography 48.9 41 9.2
Math 34.5 44 1.9


She claims that because the mean number of words on each page in the geography book is greater than the mean number of words on each page in the math book, the geography book has more words per page. Based on the data, is this a valid inference?
Yes, because the mean is larger in the geography book
No, because the mean is larger in the geography book
No, because there is a lot of variability in the geography book data
Yes, because there is a lot of variability in the geography book data

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talialikesbands
I think it would be c. I would have to have all of this information written out for me but i think it is C. Good Luck!
facundo3141592

Yes, Melissa is correct, because the difference between the means is larger than the sum of the variabilities.

Is this a valid inference?

We know that, for 25 samples of each book, we have:

Book                 mean      median      MAD

Geography         48.9          41              9.2

Math                    34.5          44             1.9

The claim, is that "the geography book as more words per page"

Notice that even if we subtract the mean standard deviation from the mean in the geography case:

48.9 - 9.2 = 39.7

And we add these in the math case:

34.5 + 1.9 = 36.4

So, even considering the variability, the geography book has more words per page. The value in the geography case is still larger, so, only with this, we conclude that her claim is valid.

If you want to learn more about means, you can read:

https://brainly.com/question/14532771

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