A scientist estimates that the mean nitrogen dioxide level in a city is greater than 33 parts per billion. To test this estimate, you determine the nitrogen dioxide levels for 31 randomly selected days. The results (in parts per billion) are listed to the right. Assume that the population standard deviation is 11. At a= 0.03, can you support the scientist's estimate? Complete parts (a) through (e).

Write the claim mathematically and identify H₀ and H₂. Choose from the following.

a.H₀ :μ ≥ 33 (claim)
Hₐ :μ < 33
b.H₀ :μ < 33 (claim)
Hₐ :μ ≥ 33
C.H₀ :μ = 33
Hₐ :μ > 33(claim)
D.H₀ :μ ≤ 33
Hₐ :μ > 33(claim)
E.H₀ :μ ≤ 33 (claim)
Hₐ :μ > 33
F.H₀ :μ = 33 (claim)
Hₐ :μ > 33