| Tag | Value |
|---|---|
| file | Inferential_Statistics_vufsw-independent_samples_means-1145-en_vufsw-independent_samples_means-1145-en |
| name | vufsw-independent samples means-1145-en |
| section | inferential statistics/parametric techniques/t-test/independent samples means |
| type | schoice |
| solution | FALSE, FALSE, TRUE, FALSE, FALSE |
| Type | calculation |
| Program | calculator |
| Language | English |
| Level | statistical literacy |
After the Eurovision Song Contest, 40 randomly selected German journalists (group 1) and 40 randomly selected Dutch journalists (group 2) are asked to indicate how they judge the quality of the song ‘Birds Falling Down’ by singer Anouk. The response scale ranges from 0 (very bad) to 10 (very good). The (fictitious) results are shown in the table below.
|
|
N | mean | standard deviation |
| group 1 | 40 | 7.50 | 0.70 |
| group 2 | 40 | 8.11 | 0.80 |
The researcher’s hypothesis is that German journalists judge the quality of the song differently than Dutch journalists. Calculate the observed t-value on the basis of the above data to test this hypothesis.
H0: µ1 = µ2 (“the two means are equal”)
H1: µ1 ≠ µ2 (“the two means are not equal”)
When the two independent samples are assumed to be drawn from populations with unequal variances (i.e., σ12 ≠ σ22), the test statistic t is computed as:
t= (mean1-mean2)/(√(s12 /n1 + s21 /n2 )
t= (7,50-8,11)/(√(0,72 /40 + 0,82 /40 ) = -3,63
If you want to know more about two idependent means , watch this clip.