Use the blood pressure data in Table 9.2 that was described in Exercise 10 of Sec. 9.6. Suppose now that we are not confident that the variances are the same for the two treatment groups. Perform a parametric bootstrap analysis of the sort done in Example 12.6.10. Use v =10,000 bootstrap simulations.
a. Estimate the probability of type I error for a two sample t test whose nominal level is α0 = 0.1.
b. Correct the level of the two-sample t test by computing the appropriate quantile of the bootstrap distribution of |U(i)|.
c. Compute the simulation standard error for the quantile in part (b).