To test the belief that sons are taller than their fathers, a student randomly s

Question

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 ?=0.10 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. EEB Click the icon to view the table of data. Which conditions must be met by the sample for this test? Select all hat apply i Table of height data A. The sampling method results in an independent sample Height of Height of ' The sample size is no more than 5% of the population size C. The differences are normally distributed or the sample size is large D. The sampling method results in a dependent sample E. The sample size must be large Father, X Son, Y 76.0 69.9 69.8 75.1 68.6 71.9 71.6 71.0 68.6 68.0 66.5 69.4 64.0 71.1 66.5 67.2 73.2 67.5 71.4 71.7 71.5 69.8 69.7 69.1 72.9 68.9 Write the hypotheses for the test Calculate the test statistic. Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer PrintDone

Explanation / Answer

b) Test Statistic = -0.58

t-Test: Paired Two Sample for Means 76 71.1 Mean 69.533333 69.95 Variance 7.9224242 4.9281818 Observations 12 12 Pearson Correlation 0.5269669 Hypothesized Mean Difference 0 df 11 t Stat -0.58 P(T<=t) one-tail 0.2878924 t Critical one-tail 1.7958848 P(T<=t) two-tail 0.5757848 t Critical two-tail 2.2009852

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