1. What is the estimated standard error for a sample of n = 25 scores with SD = 60?
2. A sample of n = 36 scores has a mean of M = 40 and a variance of s2 = 144. What is the estimated standard error for the sample mean (consider the information here carefully, what about it is important and what is not)?
3. A sample with a mean of M = 40 and a variance of s2 = 44 has an estimated standard error of 2 points. How many scores are in the sample?
4. Describe in words the steps to solve problem #3 (hint, this is just a backwards algebra problem).
5. Describe the 2 characteristics that will produce the largest value for the estimated standard error?
6. If other factors are held constant, like the standard deviation and the sample mean and the population mean, and the level of alpha remains the same, what is the effect of decreasing the sample size in terms of rejecting or not rejecting the null hypothesis?
7. If alpha remains the same, what is the effect of decreasing the sample variance in terms of rejecting or not rejecting the null hypothesis?
8. A researcher conducts a one sample t test using a sample from an unknown population. If the t statistic has df = 42, how many individuals were in the sample?
9. With α = .05 and df = 8, the critical values for a two-tailed t test are t = ±2.306. If all other factors are held constant and we increased to df = 35, what would happen, in general, to the critical values for t? What would this mean for rejecting the null hypothesis? If you are unsure how to answer this question, look at the actual T table in the back of your text and see what happens to critical values of t as the df increases.