Maria wants to know if the number of words on a page in her earth science 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 Earth science| 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 earth science book is greater than the mean number of words on each page in the math book, the earth science book has more words per page. Based on the data, is this a valid inference? O Yes, because the mean is larger in the earth science book. O No, because the mean is larger in the earth science book. O Yes, because there is a lot of variability in the earth science book data. O No, because there is a lot of variability in the earth science book data.

Maria wants to know if the number of words on a page in her earth science 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 Earth science| 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 earth science book is greater than the mean number of words on each page in the math book, the earth science book has more words per page. Based on the data, is this a valid inference? O Yes, because the mean is larger in the earth science book. O No, because the mean is larger in the earth science book. O Yes, because there is a lot of variability in the earth science book data. O No, because there is a lot of variability in the earth science book data.

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Maria wants to know if the number of words on a page in her earth science 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
Earth science| 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 earth science book is greater than the mean number of words on each page in the math book, the
earth science book has more words per page. Based on the data, is this a valid inference?
O Yes, because the mean is larger in the earth science book.
O No, because the mean is larger in the earth science book.
O Yes, because there is a lot of variability in the earth science book data.
O No, because there is a lot of variability in the earth science book data.

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