Two different chemical formulations of rocket fuel are considered for the peak thrust they deliver in a particular design for a rocket engine. The thrust/weight ratios (in kilograms force per gram) for each of the two fuels are measured several times. The results are as follows:

a. Assume the fuel processing plant is presently configured to produce fuel B and changeover costs are high. Since an increased thrust/weight ratio for rocket fuel is beneficial, how should the null and alternate hypotheses be stated for a test on which to base a decision whether to switch to fuel A?
b. Can you conclude at the 5% level that the switch to fuel A should be made?

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Fuel A: 54.3 52.9 57.9 58.2 53.4 514 56.8 55.9 57.9 56.8 58.4 52.9 55.5 51.3 51.8 53.3 Fuel B: 55.1 55.5 53. 50.5 49.7 50.1 52.4 54.4 54.1 55.6 56.1 54.8 48.4 48.3 55.5 54.7