The weighted mean for both samples is 6.98 if the psychologist observed a sample of 5 men (n = 5] and 8 women (n = 8]
It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
We have:
Number of men = 5
Number of women = 8
The weighted factor for men = 2.3
The weighted factor for women = 4.5
The weighted mean = (5×2.3 + 8×4.5)/(2.3+4.5)
= (11.5+36)/6.8
= 47.5/6.8
= 6.98
Thus, the weighted mean for both samples is 6.98 if the psychologist observed a sample of 5 men (n = 5] and 8 women (n = 8]
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