Concerns about climate change and CO_{2} reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 41 blended fuels are tested in a lab to ascertain the bio/total carbon ratio.
(a) If the true mean is .9220 with a standard deviation of 0.0060, within what interval will 90 percent of the sample means fall? (Round your answers to 4 decimal places.)
The interval is from _______ to _________
(b) If the true mean is .9220 with a standard deviation of 0.0060, what is the sampling distribution of X⎯⎯⎯X¯ ?
(c) What theorem did you use to answer part (b)?
It is given that the mean and standard deviation are 0.9220 and 0.0060, respectively. The sample size n is 41.
For 90%, the z-score value using normal table is 1.645.
The...
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