Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 46 blended fuels are tested in a lab to ascertain the bio/total carbon ratio.

(a) If the true mean is .9660 with a standard deviation of 0.0060, 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 .9660 with a standard deviation of 0.0060, what is the sampling distribution ofX?

1.Exactly normal with= .9660 and = 0.0060.

2.Approximately normal with= .9660 and = 0.0060.

3.Exactly normal with= .9660 andx=0.0060/46.x=0.0060/46.

4.Approximately normal with= .9660 andx=0.0060/46.

1

2

3

4

(c)What theorem did you use to answer part (b)?

• Central Limit Theorem
• Chebyshev's Theorem
• Pythagorean Theorem
• Law of Large Numbers