A sample of n = 25 individuals is selected from a population with µ = 20. After a treatment is administered to the individuals, the sample mean is found to be M = 22 and sample variance is s2 = 125.   Which type of t-test would you conduct in this scenario? Conduct a hypothesis test to evaluate the significance of the treatment effect. Use a two-tailed test with α = .05. State the hypothesis, find the critical region, calculate your test statistic, and evaluate your hypothesis. Show all intermediary steps for your calculations. Calculate Cohen’s d to measure the size of the treatment effect. Describe whether this is a small, moderate or large effect.

MATLAB: An Introduction with Applications
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  1.  A sample of n = 25 individuals is selected from a population with µ = 20. After a treatment is administered to the individuals, the sample mean is found to be M = 22 and sample variance is s2 = 125.

 

Which type of t-test would you conduct in this scenario?

Conduct a hypothesis test to evaluate the significance of the treatment effect.

Use a two-tailed test with α = .05. State the hypothesis, find the critical region, calculate your test statistic, and evaluate your hypothesis.

Show all intermediary steps for your calculations.

Calculate Cohen’s d to measure the size of the treatment effect.

Describe whether this is a small, moderate or large effect.

 

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