Question

A sample of n = 4 is selected from a population with µ = 50. After a treatment is administered to the individuals in the sample, the mean is found to be M = 55 and the variance is s2 = 64. Conduct a one-sample t-test to evaluate the significance of the treatment effect and calculate r2 to measure the size of the treatment effect. Use a two-tailed test with α = .05. In your response, make sure to state:

1. The null and alternative hypotheses (.5 points per hypothesis)

2. The t statistic representing the critical region cutoff point (i.e., the t value you find using the t distribution table and df). (.5 points)

3. The value of the t test statistic and the value of r2. (.5 points for t and .5 points for r2)

4. Your decision about whether to reject the null hypothesis (you do not need to write an APA format statement). (.5 points)

Answer 1