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 36 blended fuels are tested in a lab to ascertain the bio/total carbon ratio.

(a) If the true mean is .9560 with a standard deviation of 0.0050, within what interval will 95 percent of the sample means fall. (Round answer to 4 decimal places.)

The interval is from _________ to _________

(b) If the true mean is .9560 with a standard deviation 0.0050, what is the sampling of X

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