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...

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 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¯ ?

1. Exactly normal withμ = .9220 and σ = 0.0060.


2. Approximately normal withμ = .9220 and σ = 0.0060.


3. Exactly normal withμ = .9220 and σx⎯⎯=0.0060/41‾‾‾√.σx¯⁢= 0.0060/41.


4. Approximately normal withμ = .9220 and σx⎯⎯=0.0060/41‾‾‾√.σx¯⁢= 0.0060/41.

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  2

  
  

  
  
  
  


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  4

  
  

  
  
  
  

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

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  Central Limit Theorem

  
  

  
  
  
  


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  Chebyshev's Theorem

  
  

  
  
  
  


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  Pythagorean Theorem

  
  

  
  
  
  


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  Law of Large Numbers