Please consider the following information:

Sample mean (M) = 50
Population mean (µ) = µM = 47
Sample standard deviation (s) = 4
Sample size (N) = 25

Based on this information, compute the effect size measure, Cohen's d. Please include at least two decimal places when reporting your answer.

Question

Please consider the following information:

Sample mean (M) = 50
Population mean (µ) = µM = 47
Sample standard deviation (s) = 4
Sample size (N) = 25

Based on this information, compute the effect size measure, Cohen's d.  Please include at least two decimal places when reporting your answer.

BlackTom AI · Accepted Answer

The task asks for Cohen's d given the sample mean M, population mean µ, sample standard deviation s, and sample size N. 
First, Cohen's d is computed as the difference between the sample mean and the population mean, divided by the standard deviation: d = (M − µ) / s. 
From the provided values: M = 50, µ = 47, so the difference is 50 − 47 = 3. 
The standard deviation provided is s = 4. 
Now substitute these numbers into the formula: d = 3 / 4 = 0.75. 
Since the instruction asks to report at least two decimal places, we present the result as 0.75. 
Note that Cohen's d here reflects the standardized difference between the sample mean and the population mean using the sample standard deviation as the scaling factor. 
If one were to consider rounding nuances, 3 divided by 4 is exactly 0.75, so no additional rounding is necessary beyond the two decimal places requested. 
No alternative options are provided to compare, so this computation follows directly from the standard definition of Cohen's d.

Similar Questions

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