When not under undue stress, healthy 18-year-old women have systolic blood pressures that are normally distributed with a mean of 120 mm Hg and a standard deviation of 14 mm Hg. Rosaura wants to see if the stress of final exams elevates the blood pressure of freshmen women. She conducts a test of: H0: systolic blood pressures of freshmen women taking final exams are normal (i. e. they are normally distributed with µ = 120 and σ = 14). Ha: systolic blood pressures of freshmen women taking final exams are elevated (i. e. µ > 120). To conduct the test she recruits 32 women from her statistics class and measures their systolic blood pressure one hour after they complete the final exam. Working at the 5% significance level it can be shown that if the average blood pressure of women in the sample X¯ is greater than 124.1 mm Hg then the null hypothesis should be rejected. Suppose the systolic blood pressure of freshmen women taking final exams is, in fact, elevated but also has a higher variance. Indeed, suppose the systolic blood pressure has a mean of 128 mm Hg and a standard deviation of 18 mm Hg. What is the probability her test will reveal that the alternative hypothesis is true?