True or False e) A type I error occurs when the test statistic falls in the rejection region of the test. f) In testing a hypothesis, when the difference between the hypothesized mean and the actual mean (shift from mu o to mu a) is increased, the power of the test will decrease. g) In testing a hypothesis, when the standard deviation is decreased, the power of the test will decrease. Solution e) Type I error occurs when the null hypothesis rejected when it is actually true, thus the given statement is false. f)In testing hypothesis if the difference between hypothesized mean and the actual mean increases the power also increases. Thus, the given statement is true. g)Power of a test is not affected by standard deviation, thus the given statement is false..