The time taken to install bumpers on cars passing through a particular assembly line is normally distributed with mean time u=2.00 minutes and standard deviation =36 minutes. A sample on n=100 is obtained and a mean bumper installation time X-bar will be calculated.
1. Find the value of standard deviation X bar.
Determine the probability that Xbar will
2. Lie between 2.07 and 1.93
3. Exceed 1.98 minutes
4. Fall below 1.94
5. Lie between 2.02 and 2.08
6. Fall above 2.05
I am having problems solving these for the question, I have 0.27
and then I subtracted 0.27 from 2.0 and then divided 0.27 from the total of each side and came up with 6.94 and -5.68 with a probabillity of 1.26. Please help.