An automobile club reported that the average price of regular gasoline in a certain state was $2.66 per gallon. The following data show the price per gallon of regular gasoline for 15 randomly selected stations in the state. Complete parts a through c below. 2.62 2.69 2.68 2.62 2.52 2.71 2.73 2.57 2.58 2.71 2.63 2.69 2.72 2.66 2.73 a. Construct a 95% confidence interval to estimate the average price per gallon of gasoline in the state. The 95% confidence interval to estimate the average price per gallon of gasoline in the state is from $] to $] Round to the nearest cent.) b. Do the results from this sample validate the automobile club's findings? O A. Since the population mean, $2.66, is not contained within the 95% confidence interval, it can be said with 95% confidence that the sample does not O B. Since the population mean, $2.66, is not contained within the 95% confidence interval, it can be said with 95% confidence that the sample validates the validate the automobile club's findings. automobile club's findings. O C. Since the population mean, $2.66, is contained within the 95% confidence interval, it can be said with 95% confidence that the sample validates the O D. Since the population mean, $2.66, is contained within the 95% confidence interval, it can be said with 95% confidence that the sample does not validate automobile club's findings. the automobile club's findings. c. What assumptions need to be made about this population? O A. The only assumption needed is that the population distribution is approximately normal. O B. The only assumption needed is that the population distribution is approximately uniform. O C. The only assumption needed is that the population standard deviation is known. O D. No assumptions are required