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 0.18 grams per mile .

(a) What sample size is needed so that the standard deviation of the sampling distribution is 0.01 grams per mile ?
ANSWER:

(b) If a larger sample is considered, the standard deviation for $\bar x$ would be . (NOTE: Enter ''SMALLER'',''LARGER'' or ''THE SAME'' without the quotes.)