In the construction industry,compressive strength of concrete is a crucial characteristic.Suppose for a particular residential construction job the concrete tested after 3 days should have a mean compression strength of = 3000 psi with a standard deviation of = 50 psi.It is known that compressive strength of concrete is Normally distributed.On a construction site,a sample of n = 5 specimens is selected and tested after 3 days.If the concrete has the desired characteristics,what is the probability that the sample mean
will be larger than 3060 psi?
A) 0.996
B) 0.004
C) 0.885
D) 0.115
E) This can't be determined because the sample size n = 5 is much too small to rely on the Normal distribution for calculation of the required probability.