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 6 fathers who have adult male children. She records the height of both the father and son in inches and obtains the accompanying data. Are sons taller than their fathers? Use the alpha = 0.1 level of significance. Note that a normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the Icon to view the height data. Choose the correct null and alternative hypotheses below Let d_i = Y_i - X_i. H_0: mu_d = 0 H_1: mu_d > 0 H_0: mu_d notequalto 0 H_1: mu_d = 0 H_0: mu_d 0 H_0: mu_d > 0 H_1: mu_d

Explanation / Answer

option A is correct

from above p value =0.3401

do not reject Ho: there is not sufficient...... option A

father height Son height difference(d) (FL) 69.6 73.7 4.1 (AS) 66.2 67.9 1.7 (AA) 71.4 67.2 -4.2 (AS) 67.4 67.7 0.3 (AA) 72.8 69.2 -3.6 Eagle 70.6 76.7 6.1 mean 0.733 std deviaition 4.1079 sample size 6.0000 std error= std dev/(n)^(1/2) 1.6770 t stat= (d)/std error 0.4373 p value = 0.3401

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