Specifications require that the mean burning rate of a propellant must be 50cm/s with standard deviation 2cm/s. A random sample of 25 is selected and the average burning rate of 51.3 cm/s. is obtained. Using a type I error probability of 0.05, does this sample information allow us to conclude that the specification requirement on the mean burning rate is satisfied? (Hint: Answer this by doing the following:)
a. Clearly state the hypotheses
b. Clearly state the assumption(s) of this test.
c. Do you have strong evidence to support your decision? (Hint: calculate the p-value)