Question 1076749
Presumably, the sample size's being >35 is a way of saying the mean and sd of the sampling distribution follow a normal distribution due to the Central Limit Theorem.
z=(x-mean)/sigma/n, since the sd appears to be known in the population.
=(10-11.6)/3.8/sqrt (35)=-1.6*sqrt(35)/3.8=-2.49
probability z < -2.49 is 0.0064