Question

1.) For each problem, state the null and alternative hypotheses, calculate the critical value(s) of the statistic by which you would reject the null hypothesis and state whether or not you would reject the null hypothesis for a level α specified by each problem. If the hypothesis test requires an unpaired t-test, then you may assume that the population variances are equal. Then calculate the appropriate statistic value by hand and use the appropriate probability table to obtain the exact P-value (Z table) or to obtain an estimated P-value (T table).

f. You want to test whether a chemical sterilant alters the outer diameter of your catheters for α = 0.01. You sample 15 catheters, measure their outer diameters, immerse these catheters in the sterilant, and then measure their outer diameters again. You find that the chemical sterilant reduces catheter diameters by an average of ? = 0.08 mm with a standard deviation of SD = 0.065 mm.

Answer 1