For each of the following scenarios, indicate which type of statistical error could have been committed or, alternatively, that no statistical error was made. When warranted, provide a definition for the indicated statistical error.
a. Unknown to the statistical analyst, the null hypothesis is actually true.
b. The statistical analyst fails to reject the null hypothesis.
c. The statistical analyst rejects the null hypothesis.
d. Unknown to the statistical analyst, the null hypothesis is actually true and the analyst fails to reject the null hypothesis.
e. Unknown to the statistical analyst, the null hypothesis is actually false.
f. Unknown to the statistical analyst, the null hypothesis is actually false and the analyst rejects the null hypothesis.