(2 pts) The level of nitrogen oxides (NOX) in the exhaust of a particular car model varies with mean 0.7 grams per mile and standard deviation 0.2 grams per mile. Consider the sampling distribution ofxfor samples of sizen.

(a) Ifn=, the standard deviation of the sampling distribution ofx will be .01.

The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 7.7 ounces and standard deviation 0.2 ounces.

(a) What is the probability that the average weight of a random sample of 4 of these chocolate bars will be between 7.52 and 7.87 ounces?