![]() ![]() The critical regions for the different kinds of tests are shown below. For a left-tailed test, reject the null hypothesis if t 0 t α . For a two-tailed test, reject the null hypothesis if t 0 t α /2 . t α /2 = or − t α /2 =Ĭompare the critical value to the test statistic. (Round to two decimal places as needed.) A. Select the correct choice below and fill in all answer boxes within your choice. t 0 = (Round to two decimal places as needed.) Identify the critical value(s) for this test. ![]() The sampling method results in a dependent sample. The sampling method results in an independent sample. The sample size is no more than 5% of the population size. ![]() The differences are normally distributed or the sample size is large. Which conditions must be met by the sample for this test? Select all that apply. Click here to view the table of data Click here to view the table of critical t-values. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Are sons taller than their fathers? Use the α = 0.05 level of significance. She records the height of both the father and son in inches and obtains the following data. To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. ![]()
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