Question

Kuya heard that oldest children tend to be more miserable about life than their youngest siblings...

Kuya heard that oldest children tend to be more miserable about life than their youngest siblings (not taking into consideration the number of siblings in between). Kuya gathered data from 33 families and measured their scores on a misery scale. The lower the score, the more miserable the person tends to be.

MISERY SCALE SCORES
Oldest Youngest
62 62
80 67
70 62
56 66
86 71
79 63
68 64
67 64
62 73
74 71
68 70
69 67
62 63
62 69
97 68
90 62
74 70
75 76
82 72
70 64
72 69
62 72
61 68
58 69
77 68
70 65
57 65
89 63
77 71
79 66
97 61
66 74
90 81

The appropriate test for this problem is:

t test for one sample
t test for dependent samples
t test for independent samples

The obtained statistic is:

t = - 2.48
t = 2.48
t = - 4.28

t = 4.28

The associated p value is:

.091
.019
.048
.084

Decision is:

reject the null hypothesis
retain the null hypothesis

Conclusion is:

youngest children tend to be less miserable than their oldest siblings
youngest children tend to be more miserable than their oldest siblings
both groups are equally miserable
no conclusion can be drawn

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