SOLUTION: Find the value of a and b such that there is 95% chance that Z lies between them, and 0 lies in the middle of them.

Question 875172: Find the value of a and b such that there is 95% chance that Z lies between them, and 0 lies in the middle of them.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Below: z = 0, z = � 1, z= �2 , z= �3 are plotted.
Note: z = 0 (represents the mean) 50% of the area under the curve is to the left and %50 to the right

,
For the normal distribution:
one standard deviation from the mean accounts for about 68% of the set
two standard deviations from the mean account for about 95%
and three standard deviations from the mean account for about 99.7%.
a = -2 and b = 2
RELATED QUESTIONS
4. find the value of z such that .80 of the area under the curve lies between -z and... (answered by Edwin McCravy)

Find z such that 60% of the standard normal curve lies between −z and... (answered by Boreal)

Find the value of z such that 47.5% of the distribution lies between it and the mean (answered by stanbon)

Find the value of z such that 45% of the distribution lies between it and the mean (answered by stanbon)

7. Find the value of z such that 25% of the distribution lies between it and the... (answered by stanbon,Fombitz)

find the value of z such that 40% of the distribution lies between it and the... (answered by Edwin McCravy)

Find the value of z such that approximately 13.31% of the distribution lies between it... (answered by stanbon)

Find the value of z such that approximately 16.28% of the distribution lies between it... (answered by stanbon)

Find the value of z such that approximately 40.15% of the distribution lies between it... (answered by stanbon)