The Amount Filled by a Certain Bottling Machine,X,is Approximately Normally

Multiple Choice

The amount filled by a certain bottling machine,X,is approximately normally distributed with unknown mean,μ,and standard deviation,σ =1.If n=16 bottles were randomly sampled,what is the probability that the mean fill in the sample is within 0.3 ounces of the population mean μ?

A) 0.2358
B) 0.6000
C) 0.7698
D) 0.2302
E) 0.7642