The Level of Nitrogen Oxides (NO_x) in the Exhaust of Cars

Multiple Choice

The level of nitrogen oxides (NO_x) in the exhaust of cars of a particular model varies Normally, with standard deviation σ= 0.05 gram per mile (g/mi) . Government regulations call for NO_x emissions no higher than 0.3 g/mi. In testing H₀: μ= 0.3 versus H_a: μ< 0.3 using significance level 0.05, we find that the power of this test against an alternative of μ= 0.28 based on a random sample of size n = 40 is 0.808. What impact would using a larger sample size (n = 50) have?

A) It would increase the power of this particular test.
B) It would decrease the power of this particular test.
C) It would increase the probability of a Type I error.
D) It would decrease the probability of a Type I error.