Answer:
The probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026
Explanation:
Mean =

Population standard deviation =

Sample size = n =25
Sample mean =

We are supposed to find the probability of observing a sample mean of x = 52 or greater from a sample size of 25 i.e.


Z=5.83
P(Z<52)=0.9999974

Hence the probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026