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The variable [tex]\( df \)[/tex] is defined to be the smaller of [tex]\( n_1 - 1 \)[/tex] and [tex]\( n_2 - 1 \)[/tex].

Find [tex]\( df \)[/tex] if [tex]\( n_1 = 122 \)[/tex] and [tex]\( n_2 = 119 \)[/tex].

[tex]\[ df = \square \][/tex] (Type a whole number.)



Answer :

GinnyAnswer
To find the degrees of freedom ([tex]\(df\)[/tex]) where [tex]\(df\)[/tex] is defined as the smaller of [tex]\(n_1 - 1\)[/tex] and [tex]\(n_2 - 1\)[/tex], and we have [tex]\(n_1 = 122\)[/tex] and [tex]\(n_2 = 119\)[/tex], we can follow these steps:

1. Calculate [tex]\(n_1 - 1\)[/tex]:
[tex]\[ n_1 - 1 = 122 - 1 = 121 \][/tex]

2. Calculate [tex]\(n_2 - 1\)[/tex]:
[tex]\[ n_2 - 1 = 119 - 1 = 118 \][/tex]

3. Determine the smaller value between [tex]\(121\)[/tex] and [tex]\(118\)[/tex]:
[tex]\[ \min(121, 118) = 118 \][/tex]

Therefore, the degrees of freedom ([tex]\(df\)[/tex]) is:
[tex]\[ df = 118 \][/tex]

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