An automobile manufacturer has given its car a 46.246.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 240240 cars, they found a mean MPG of 46.446.4. Assume the population variance is known to be 2.562.56. A level of significance of 0.050.05 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

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