In: Statistics and Probability
A company manufactures large rocket engines used to send satellites into space. The company claims that its engines use an average of less than 5500 pounds of fuel during the first 15 seconds after launch. To test the claim, an inspector randomly selects six such engines from the warehouse. The engines are fired for 15 seconds each, and the fuel consumption for each engine is measured. For all six engines, the mean fuel consumption is 5450 pounds, and the standard deviation is 250 pounds. Test the company's claim at the 0.05 level of significance.