Question: A study is conducted to find out whether results of an IQ test are significantly higher after listening to Mozart than after sitting in silence. Explain what has happened in each of the following scenarios:
a. A Type 1 error was committed.
b. A Type 2 error was committed.
c. The power of the test was too low to detect the difference that actually exists.
d. The power of the test was so high that a very small difference resulted in a statistically significant finding.