statistics
In a simple random sample of 250 fatherson pairs taken from a large population of such pairs, the mean height of the fathers is 68.5 inches and the SD is 2.5 inches; the mean height of the sons is 69 inches and the SD is 3 inches; the correlation between the heights of the fathers and sons is 0.5.
In the population, are the sons taller than their fathers, on average? Or is this just chance variation?
The SE of the mean difference between heights of fathers and sons in the sample is closest to 0.176.
Problem 1.
Which of the following most closely represents the result of the test?
 The result is not statistically significant, so we conclude that it is due to chance variation.
 The result is not statistically significant, so we conclude that the sons are taller than their fathers, on average.
 The result is highly statistically significant, so we conclude that the sons are taller than their fathers, on average.
 The result is highly statistically significant, so we conclude that it is due to chance variation

Z = (mean1  mean2)/standard error (SE) of difference between means
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score. Are you using twotailed test or onetailed test?
You can eliminate some choices: significance = not chance and nonsignificance = chance.
What criterion are you using to reject your null hypothesis? P≤.05? P≤.01?posted by PsyDAG

0.5
posted by czcz

Building on above answer from PsyDAG, when you run the calculation for Z and check the normal distribution table, you get get a p value of 0.22%, which is highly statistically significant, so we conclude that sons are taller, on average, than their dads.
posted by sba

Being P so small, it must be the other answer?? right???
posted by Mario007
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