Question

In a simple random sample of 250 father-son 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.

Answer 1

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

Answer 2

This - The result is not statistically significant, so we conclude that it is due to chance variation, and is - The result is not statistically significant, so we conclude that the sons are taller than their fathers, on average. are WRONG

Answer 3

Correct Answer:
The result is highly statistically significant, so we conclude that the sons are taller than their fathers, on average.

Answer 4

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Answer 5

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