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pormal probability plotand boxplot of the data indicate that the differences are abproximately i Table of height data - X Height of Height of Father, Xi Son, Yi 67.9 72.8 72.3 75.8 71.6 74.0 71.8 73.5 72.7 74.0 72.6 73.1 66.7 66.6 70.7 70.2 68.7 67.6 71.5 69.7 70.3 67.8 70.2 66.7 70.7 65.6 Print DoneTo test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a = 0.01 level of signicance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. \"Elmmill Click here to View the table of critical tvalues. Which conditions must be met by the sample for this test? Select all that apply. E] A. The sampling method results in a dependent sample. C] B. The sample size must be large. E] c. The sample size is no more than 5% of the population size. E] D. The sampling method results in an independent sample. C] E. The differences are normally distributed or the sample size is large. Let di = Xi - Yi. Write the hypotheses for the test. H0: H1: Calculate the test statistic. to = D (Round to two decimal places as needed.) Identify the critical value(s) for this test. Select the correct choice below and fill in all answer boxes within your choice. (Round to two decimal places as needed.) OA. ta/2= or - ta/2= OB. to = O c. - to = Compare the critical value to the test statistic. For a two-tailed test, reject the null hypothesis if to to/2. For a left-tailed test, reject the null hypothesis if to to. The critical regions for the different kinds of tests are shown below. Two-Tailed Left-Tailed Right-Tailed Critical value(s) - to /2 and to / 2 - ta to + + + Critical region(s)Should the null hypothesis be rejected? Ho because the test statistic in the critical region. There sufficient evidence to conclude that sons their fathers at the 0.01 level of significance