Answer:
option (b) between 662.5 and 897.5 acres
Step-by-step explanation:
Data provided in the question:
Average number of acres burned by all wildfires = 780 acres
Standard deviation, σ = 500 acres
sample size, n = 64
confidence level = 94% = 0.94
thus,
α = 1 - 0.94 = 0.06
Now,
= 1.88 [from the standard Z table]
Therefore,
The lower limit = Mean -
or
The lower limit = 780 -
or
The lower limit = 662.5 acres
and,
The upper limit = Mean +
or
The upper limit = 780 +
or
The upper limit = 897.5 acres
Hence,
The correct answer is option (b) between 662.5 and 897.5 acres