# Question

The fuel consumption, in miles per gallon, of all cars of a particular model has a mean of 25 and a standard deviation of 2. The population distribution can be assumed to be normal. A random sample of these cars is taken.

a. Find the probability that sample mean fuel consumption will be fewer than 24 miles per gallon if

i. a sample of 1 observation is taken.

ii. a sample of 4 observations is taken.

iii. a sample of 16 observations is taken.

b. Explain why the three answers in part (a) differ in the way they do. Draw a graph to illustrate your reasoning.

a. Find the probability that sample mean fuel consumption will be fewer than 24 miles per gallon if

i. a sample of 1 observation is taken.

ii. a sample of 4 observations is taken.

iii. a sample of 16 observations is taken.

b. Explain why the three answers in part (a) differ in the way they do. Draw a graph to illustrate your reasoning.

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