A study is conducted to compare the length of time between men and women to assemble a certain product. Past experience indicates that the distribution of times for both men and women is approximately normal but the variance of the times for women is less than that for men. A random sample of times for 11 men and 14 women produced the following data. Test the hypothesis that s21 > s22 against the alternative that ai > a2. Use a P-value in your conclusion.
Men Women
n1 =11 n2 = 14
81 = 6.1 82 = 5.3