Concerns about climate change and CO₂reduction 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?