It appears that sons of fathers who display low self-esteem tend to develop low self-esteem as well. Kuya conducted a study to test this hypothesis, since he is pretty sure that there must be a difference between the two groups, with sons having higher self-esteem than their fathers. He measured the self-esteem of the fathers and their sons using the Fearful Insecure Neurotic Emotional (FINE) test. The higher the score, the lower is the self-esteem. Is there a significant difference?
SON | FATHER |
32 | 24 |
24 | 27 |
32 | 31 |
30 | 30 |
29 | 34 |
31 | 22 |
22 | 18 |
22 | 24 |
24 | 31 |
28 | 31 |
28 | 36 |
33 | 29 |
29 | 35 |
24 | 28 |
30 | 35 |
23 | 27 |
32 | 38 |
28 | 35 |
23 | 30 |
32 | 36 |
28 | 38 |
31 | 21 |
25 | 39 |
33 | 39 |
26 | 32 |
23 | 36 |
23 | 13 |
22 | 27 |
32 | 30 |
32 | 39 |
30 | 37 |
25 | 32 |
32 | 33 |
33 | 37 |
28 | 34 |
23 | 20 |
23 | 25 |
26 | 27 |
33 | 21 |
28 | 20 |
33 | 36 |
The appropriate test for this problem is:
The obtained statistic value is:
The associated p value is:
Decision is:
Conclusion is:
H0: mu(d) = 0
Ha: mu(d) not equals to 0
from the given data,
dbar = -2.2439
s(dbar) = 6.2681
t test for dependent samples
Test statistic,
t = -2.2439/(6.2681/sqrt(41))
t = -2.2922
option D
p-value < 0.05
Reject H0
fathers have lower self-esteem than their sons
It appears that sons of fathers who display low self-esteem tend to develop low self-esteem as...
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