question 1: to test the belief..? question 2: it has long been stated..?
To 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 = 0.025 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Eff Click the icon to view the table of data. Which conditions must be met by the sample for this test? Select all that apply. Table of height data [A. The differences are normally distributed or the sample size is large. OB. The sample size is no more than 5% of the population size. Height of Height of C. The sampling method results in a dependent sample. Father, X; Son, Y; D. The sample size must be large. 70.5 75.6 67.1 70.6 OE. The sampling method results in an independent sample. 68.3 70.7 67.7 69.6 Let d) = X, - Y, Write the hypotheses for the test. 71.8 72.9 66.9 67.5 Ho : 66.9 66 8 68.1 67.6 H1 : 69.8 68.6 68.6 66.9 Click to select your answer(s) 71.5 69.0 67.2 63.7 69.5 64.6 Calculate the test statistic. to (Round to two decimal places as needed.) Calculate the P-value. Question 1 P-value =(Round to three decimal places as needed.) Should the null hypothesis be rejected? | Ho because the P-value is the level of significance. There sufficient evidence to conclude that sons their fathers at the 0.025 level of significance. It has long been stated that the mean temperature of humans is 98.6'F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6"F. They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.4"F and a sample standard deviation of 0.9"F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6"F at the a = 0.01 level of significance. State the hypotheses. Ho: 98.6 F |98.6 OF Find the test statistic Question 2 (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) What can be concluded? O A. Reject Ho since the P-value is less than the significance level. O B." Do not reject Ho since the P-value is less than the significance level. C. Do not reject Ho since the P-value is not less than the significance level. O D. Reject Ho since the P-value is not less than the significance level
