Question

based on data set 17 in Appendix B, the words spoken in a day by women have a mean of 16,215 and a standard deviation of 7301 words. cons8der the women with an unusal word count in a day. whqt are the numbers of words that seperate the unusal word counts from those that are usual

Answer 1

The mean is 6,215 and a standard deviation is 7301 words.

Find the numbers of words in limits of one standard deviation:

`-1\le (X-16,215)/(7,301)\le 1.`

Solve this inequality:

`-7,301\le X-16,215\le 7,301,\\ \\16,215-7,301\le X\le 16,215+7,301,\\ \\8,914\le X\le 23,516.`

Conclusion: the numbers of words spoken in a day by women that are usual is
`8,914\le X\le 23,516` and the numbers of words spoken in a day by women that are unusual is
`X<8,914 \text{ or } X>23,516.`