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just olya [345]
3 years ago
10

PLZ HELP!!! Melissa wants to know if the number of words on a page in her geography book is generally more than the number of wo

rds 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?
A. Yes, because the mean is larger in the geography book
B. No, because the mean is larger in the geography book
C.No, because there is a lot of variability in the geography book data
D. Yes, because there is a lot of variability in the geography book data
Mathematics
1 answer:
lara [203]3 years ago
4 0
I think the answer is C, but I could be wrong.  

I think this because just the mean of the random 25 pages, isn't going to be completely reliable.  There maybe be a section in the geography book that explains a simple concept that doesn't require many words to describe.  But there could also be a section describing a very difficult concept that would take lots of words to explain.  

Hope this helps! :)
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Answer:

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Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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The percentile is the p-value of Z when X = 78. So

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A customer who sends 78 messages per day would be at 99.38th percentile.

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