Question 980292
z = (xbar - mu)/(sigma/sqrt(n))


z = (0.530 - 0.525)/(0.008/sqrt(16))


z = 2.5


-------------------------------------------------------


P(xbar > 0.530) = P(z > 2.5)


P(xbar > 0.530) = 1 - P(z < 2.5)


P(xbar > 0.530) = 1 - 0.99379 ... use a <a href="https://www.stat.tamu.edu/~lzhou/stat302/standardnormaltable.pdf">table</a>


P(xbar > 0.530) = 0.00621


P(xbar > 0.530) = 0.0062


The probability is <font color="red">0.0062</font>