Use the following to answer the questions below:
On August 8, 2012, the national average price for a gallon of regular unleaded gasoline was $3.63. The prices for a random sample of gas stations in the state of Illinois were recorded at that time. The mean price for the sampled gas stations was $3.975, with standard deviation $0.2266. A boxplot of the data is provided.

-Is it reasonable to use the t-distribution to perform a test about the average gas price in Illinois (on August 8, 2012)?

Question

Use the following to answer the questions below:
On August 8, 2012, the national average price for a gallon of regular unleaded gasoline was $3.63. The prices for a random sample of gas stations in the state of Illinois were recorded at that time. The mean price for the sampled gas stations was $3.975, with standard deviation $0.2266. A boxplot of the data is provided.
 
-Is it reasonable to use the t-distribution to perform a test about the average gas price in Illinois (on August 8, 2012)?

Quizplus · Accepted Answer

Yes, even though the sample size is small (10 gas stations were sampled), the sample data displayed in the boxplot is pretty symmetric, indicating that the data could have reasonably come from a normal population.

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