The fuel consumption, in miles per gallon, of all cars of a particular model has mean 25
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The fuel consumption, in miles per gallon, of all cars of a particular model has mean 25 and standard deviation 2.
The population distribution can be assumed to be normal. A ran- dom sample of these cars is taken.
(a) Find the probability that sample mean fuel consumption will be less than 24 miles per gallon if (i) a sample of one observation is taken. (ii) a sample of four observations is taken. (iii) a sample of sixteen observations is taken.
(b) Explain why the three answers in
(a) differ in the way they do. Draw a graph to illus- trate your reasoning.
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Rustia Melrod
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