To test the belief that sons are taller than their? fathers, a student randomly
ID: 2909341 • Letter: T
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 equals 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.
Choose the correct null and alternative hypotheses below.
What is the? P-value? ?P-value equals nothing ?(Round to three decimal places as? needed.) Choose the correct conclusion below. Observation 1 2 3 4 5 6 Height of father? (in inches), Xi 69.7 67.7 70.9 66.9 72.2 70.2 Height of son? (in inches), Yi 73.8 69.8 67.2 67.7 67.9 76.4
Explanation / Answer
The statistical software output for this problem is:
Paired T hypothesis test:
?D = ?1 - ?2 : Mean of the difference between Height of Son and Height of Father
H0 : ?D = 0
HA : ?D > 0
Hypothesis test results:
Hence,
P - value = 0.317
Difference Mean Std. Err. DF T-Stat P-value Height of Son - Height of Father 0.86666667 1.7124382 5 0.506101 0.3172Related Questions
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