In: Statistics and Probability
Average yield of strain A was measured as 0.905 by 20 experiments and average yield of strain B of the same organism under same experimental conditions was measured as 0.873 by 15 experiments. Standard deviation of yields of strain A was 33/1000 and standard deviation of yields of strain B was (33+15)/1000
a) Construct 95% confidence interval for the ratio of population variance of yields of strain A to population variance of yields of strain B.
b) Construct 99% confidence interval for the difference between population means of yields of strain A and strain B (μA- μB)
c) Test the null hypothesis of equality of population means of yields of strain A and strain B against the alternative hypothesis: μA > μB (use p-value approach).