Download Statistics Notes: 7.3 Applications of Normal

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

page
1
page
2
Document related concepts
no text concepts found
Transcript 
Statistics Notes: 7.3 Applications of Normal ­ In Context
7.3 Applications of the Normal Distribution.
Also known as finding areas under the normal distribution curve.
Formula to find a Z­score?
Since 1900, in California, the magnitude of earthquakes that measure 0.1 or higher on the Richter Scale is distributed approximately normally with a mean of 6.2 and a standard deviation of 0.5. What is the probability that a randomly selected earthquake has a magnitude less than 6.4?
What is the probability that a randomly selected earthquake has a magnitude of 5.8 or higher?
What is the probability that a randomly selected earthquake has a magnitude between 5.6 and 7.1?
The great San Francisco Earthquake of 1906 has a magnitude of 8.25. Is an earthquake of this magnitude unusual?
1
Statistics Notes: 7.3 Applications of Normal ­ In Context
Solve the Z­scores formula for X.
Since 1900, in California, the magnitude of earthquakes that measure 0.1 or higher on the Richter Scale is distributed approximately normally with a mean of 6.2 and a standard deviation of 0.5. Determine the 40th percentile magnitude.
What is the weakest earthquake of the most destructive 1% of all earthquakes?
What range of magnitudes delineate the middle 85% of earthquakes?
HW: p411#1 ­ 7odd, 11, 17, 19, 21, 27, 29
2
Related documents