Question

The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000 miles of driving) of cars of a particular model varies Normally with mean 80 mg/mi and standard deviation 66 mg/mi. A company has 16 cars of this model in its fleet.

Using Table A, find the level ? such that the probability that the average NOX + NMOG level ?¯ for the fleet greater than ? is only 0.03 ? (Enter your answer rounded to three decimal places.)

Answer 1

Given that,

= / n = 66 / 16 = 16.5

P(Z < 1.88) = 0.097

z = 1.88

= z * + = 1.88 * 16.5 + 80 = 111.020

L = 111.020