Question

The consumption rates of two aviation fuels, A and B, are compared. The sample from fuel A have 12 specimens with a mean burning rate of 21 cm/s and the sample from fuel B have 10 specimens with a mean burning rate of 18 cm/s. If the standard deviation in burning rates of the fuels are 3.5 cm/s and 3cm/s for fuel A and fuel B, respectively, test the hypothesis that the difference in mean burning rates of fuels is 2.5cm/s. Use ? = 0.05.

a. Use P-value approach for hypothesis testing.

b. Use z-test for hypothesis testing.

c. Use confidence interval for hypothesis testing.

d. If the true difference in the mean burning rates is ?2 ′ − ?1 ′ = 3 cm/s, find the type II error.

e. What is the minimum sample size needed to recognize the true mean burning rate of 3 cm/s for ? = 0.05, and ? = 0.05.

Answer 1