Check Concerns about climate change and CO2 reduction have Initiated the commercial production of blends of blodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 44 blended fuels are tested in a lab to ascertain the blo/total carbon ratio. (a) If the true mean is .9590 with a standard deviation of 0.0080, within what interval will 98 percent of the sample means fall? (Round your answers to 4 decimal places.) The interval Is from to [ (b) If the true mean is .9590 with a standard deviation of 0.0080, what is the sampling distribution of X ? 1. Exactly normal with / = .9590 and o = 0.0080. 2. Approximately normal with u = .9590 and o = 0.0080. 3. Exactly normal with / = 19590 and oz = 0.0080 /V44. 4. Approximately normal with p = .9590 and oz = 0.0080 / V44. 01 02 0 3 04 (c) What theorem did you use to answer part (b)? Central Limit Theorem O Chebyshev's Theorem O Pythagorean Theorem O Law of Large Numbers