If the probability of committing a Type I error for a given

If the probability of committing a Type I error for a given test is to be decreased, then for a fixed sample size n, which of the following statements is true? a. The power of the test will increase. b. The probability of committing a Type II error will increase. c. The probability of committing a Type II error will decrease. d. A two-tailed test must be used. e. both (c) and (d) In testing H0: mu = 5 vs. Ha: mu not equal to = 5, which of the following statements is true as a result of increasing the sample size? a. The sampling distribution of the sample mean bar x has less variability. b. There is no effect on the level of significance for the test. c. There is no effect on whether the null hypothesis is true or false. d. all of these e. none of these

Solution

(3)Reject Ho. There is sufficient evidence that the alternative hypothesis is true.

(9)b. The probability of committing a Type II error will increase.

(10)d. all of these