A cognitive psychologist was interested in the ability of men and women to multitask-a cog- nitive skill thought to engage short-term or working memory. The psychologist observed a sample of 5 men (n = 5] and 8 women (n = 8] and measured the number of tasks they could accurately complete within a short time frame. He found that men completed 2.3 tasks on average (M = 2.3), whereas women completed 4.5 tasks on average (M = 4.5). What is the weighted mean for both samples? Hint: The overall mean is not 3.4 tasks.

Respuesta :

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]

What is mean?

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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