A population of trees within a defined neighborhood has a mean leaf length of 6.2 inches and a standard deviation of .625 inches. After a treatment is administered to the sample, the sample mean is 6.5 inches. What is the value of Cohen’s d for this sample?

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1. A population of trees within a defined neighborhood has a mean leaf length of 6.2 inches and a standard deviation of .625 inches. After a treatment is administered to the sample, the sample mean is 6.5 inches. What is the value of Cohen’s d for this sample?

2. In what circumstances is the t statistic used instead of a z-score for a hypothesis test? 

3. A sample of n = 25 score is selected from a population with a mean of μ = 73, and a treatment is administered to the sample. After treatment, the sample has M = 70 and s2 = 100. If a hypothesis test with a t statistic is used to evaluate the treatment effect, then what value will be obtained for the t-statistic?

4. A sample of n = 4 scores is selected from a population with an unknown mean. The sample has a mean of M = 40 and a variance of s2 = 16. Find the 90% confidence interval for μ?

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