Question

Anne reads that the average price of regular gas in her state is $4.06 per gallon....

Anne reads that the average price of regular gas in her state is $4.06 per gallon. To see if the average price of gas is different in her city, she selects 10 gas stations at random and records the price per gallon for regular gas at each station. The data, along with the sample mean and standard deviation, are listed in the table below.

Station 1     2 3 4 5 6 7 8 9   10

Price ($) 4.13 4.01 4.09 4.05 3.97 3.99 4.05 3.98 4.09 4.02

Mean = $4.038 Standard deviation = $0.0533

Do the data provide convincing evidence that the average price of gas in Anne’s city is different from $4.06 per gallon?

Math   Statistics-And-Probability   
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