Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% c
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Answer:
0.5
Step-by-step explanation:
Solution:-
- The sample mean before treatment, μ1 = 46
- The sample mean after treatment, μ2 = 48
- The sample standard deviation σ = √16 = 4
- For the independent samples T-test, Cohen's d is determined by calculating the mean difference between your two groups, and then dividing the result by the pooled standard deviation.
Cohen's d =
- Where, the pooled standard deviation (sd_pooled) is calculated using the formula:
- Assuming that population standard deviation and sample standard deviation are same:
SD_1 = SD_2 = σ = 4
- Then,
- The cohen's d can now be evaliated:
Cohen's d =
