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 adull male chidren. She records the height of both the father and son in inches and obtains the accompanying data Are so s taller than their fathers? Use the = 0.1 level of si ficance. Note that a no al probabity plot and b plot of r data nd tati e difierences are approximately normally distributed with no outiers Click the icon to view the height data Choose the correct null and alternative hypotheses below LetdEY-X What is the P-value? P-value Round to three decimal places as needed) Enter your answer in the answer box and then click Check Answer Type here to search Devete F12 Prtscr Insert F11

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Yi and Xi
H0 : D = 0
HA : D > 0
Hypothesis test results:

Hence,

P - value = 0.315

Difference Mean Std. Err. DF T-Stat P-value Yi - Xi 0.9 1.7523318 5 0.51360137 0.3147

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