Chapter Test 577 Chapter Test 10 Take this test as you would take a test in class. In each exercise, (a) identify the claim and state H0 and Ha, (b) find the critical value and identify the rejection region, (c) find the test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. In Exercises 1–3, use the data, which list the hourly wages (in dollars) for randomly selected surgical technologists from three states. Assume the wages are normally distributed and that the samples are independent. (Adapted from U.S. Bureau of Labor Statistics) Maine: 22.76, 27.60, 25.08, 17.01, 30.15, 27.09, 20.95, 25.52, 20.11, 23.67, 24.32 Oklahoma: 24.64, 21.66, 19.38, 18.19, 23.14, 20.58, 19.53, 30.77, 27.46, 23.80 Massachusetts: 27.07, 24.71, 32.80, 28.34, 33.45, 33.36, 36.81, 30.04, 29.01, 24.30, 29.22, 29.50 1. At a = 0.05, is there enough evidence to conclude that the variances of the hourly wages for surgical technologists in Maine and Massachusetts are the same? 2. At a = 0.01, is there enough evidence to conclude that the variance of the hourly wages for surgical technologists in Oklahoma is greater than the variance of the hourly wages for surgical technologists in Massachusetts? 3. Are the mean hourly wages of surgical technologists the same for all three states? Use a = 0.01. Assume that the population variances are equal. In Exercises 4–6, use the table, which lists the distribution of the ages of employees who carpool in Maine. It also lists the results of a random survey for two additional states. (Adapted from U.S. Census Bureau) State Ages Maine Oklahoma Massachusetts 16–19 7.1% 12 16 20–24 11.6% 25 21 25–44 43.1% 95 86 45–54 19.6% 36 37 55–59 7.8% 15 15 60+ 10.8% 17 25 4. Does the distribution of the ages of employees who carpool in Maine differ from the distribution of the ages of employees who carpool in Oklahoma? Use a = 0.10. 5. Is the distribution of the ages of employees who carpool in Maine the same as the distribution of the ages of employees who carpool in Massachusetts? Use a = 0.01. 6. Use the data for Oklahoma and Massachusetts to test whether state and age are independent. Use a = 0.05.
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