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 33...

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

(a) If the true mean is .9640 with a standard deviation of 0.0100, within what interval will 90 percent of the sample means fall? (Round your answers to 4 decimal places.)

(b) If the true mean is .9640 with a standard deviation of 0.0100, what is the sampling distribution of X?