Here are summary data from a z test regarding scores on the consideration of future consequences scale (Petrocelli, 2003). The population mean (u) is 3.20 and the population standard deviation (o) is.70. Imagine that a sample of students has a mean of 3.45.
1. Calculate the test statistic for a sample of 5 students.
2. Calculate the test statistic for a sample of 1K students
3. Calculate the test statistic for a sample of 1M student
4. Explain why the test statistics varies so much even though the population mean, population standard deviation, and samplemean do not change.
5. Why might size pose a problem for hypothesis testing and the conclusion we are able to draw?