SOLUTION: A normally distributed data set of 500 values has a mean of 35 and a standard deviation of 7. Which is closest to the probability that a value in the data set will fall between 42

Algebra ->  Permutations -> SOLUTION: A normally distributed data set of 500 values has a mean of 35 and a standard deviation of 7. Which is closest to the probability that a value in the data set will fall between 42      Log On


   



Question 1193664: A normally distributed data set of 500 values has a mean of 35 and a standard deviation of 7. Which is closest to the probability that a value in the data set will fall between 42 and 46?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(41.5-35)/7 and z=(46.5-35)/7 using the continuity correction factor.
z values are 6.5/7 and 11.5/7 or 0.93 and 1.64 and that is a probability of 0.1257
Where you round z affects that last digit.
Can also use 2nd VARS2(normalcdf(41.5,46.5,35,7) ENTER and get probability of 0.1263, rounded at end.