Question

Data from an experiment show that the standard deviation is 3.6 and the mean is 23.4.
Find the probability that the reading from the experiment is more than 32.

Answer 1

Given that,

Standard deviation $\sigma = 3.6$

Population mean $\mu$ = 23.4

experiment reading x = 32

We have to find the probability of greater than Z$\alpha$ if x>32

Formula for Z$\alpha$ = $\frac {x-\mu}{\sigma} = \frac {32-23.4}{3.6} = 2.3888$

So by using the Z table we get the probability of greater than Z$\alpha$ if x>32 is 1 - 0.9916 = 0.0084.