Random samples of 38 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. a) If the true mean is .9350 with a standard deviation of 0.0090, within what interval will 90 percent of the sample means fall?
b) If the true mean is 9350 with a standard deviation of 0.0090, what is the sampling distribution of X?
1. Exactly normal with u = 9350 and a = 0.0090.
2. Approximately normal with = .9350 and a = 0.0090.
3. Exactly normal with u = 9350 and ax = 0.0090 / underroot 38.
4. Approximately normal with u = 9350 and ax = 0.0090 / underrot 38.
a) 1.
b) 2.
c) 3.
d) 4.
(c) What theorem did you use to answer part (b)?
a. Central Limit Theorem.
b. Chebyshev's Theorem.
c. Pythagorean Theorem.
d. Law of Large Numbers.