Read and analyze each item carefully. Choose the letter of your answer. Write your answers on the answer sheet provided. 1. The value that separates a rejection region from an acceptance region is called a A. Parameter B. Hypothesis 0. critical value D. significance level 2. If the alpha level is increased from 0.01 to 0.05, then the boundaries for the critical region move farther away from the center of the distribution. A. True B. False (3. both A and B D. cannot be determined 3. In the two-tailed test, the rejection region lies on _ of the normal distribution. A. center B. left tail 0. right tail D. both tails 4. In a right-tailed test with a: = 0.01, the critical value of z is: A. 1.28 B. 1.85 C. 1.98 D. 2.33 5. What is the critical value if the population variance is unknown, n = 13, a = 0.05, and it is a one- tailed test? A. 1.\" =1.782 B. 1.\" =2.179 C. 1.\" =2.681 D. 1.\" =3.055 8. For a two-tailed test with variance unknown, n= 19, and a = 0.05, what is the critical value? A. 12.092 B. 12.101 0. 12.145 D. 12.878 7. Given the illustration at the right, which of the following is NOT TRUE? A. This is a left-tailed test. . B. This is a right-tailed test. (3. This has a critical value of 1.845. D. This has a level of significance of 0.5. 8. Which of the following is the sketch of the normal curve if z 2 1.645? A. : C. r'x. B. j . \\ 9. What test statistic will be used if the sample size is above 30? A. t-test B. z-test 0. population mean D. standard deviation 10. What test statistic can be used when the population standard deviation is unknown? A. t test B. 2 test C. population mean D. standard deviation 11. What test statistic can be used when the population standard deviation is known? A. t-test B. 2- test C. population mean D. standard deviation 12. It refers to a value calculated from sample data which is needed in deciding whether the null hypothesis is rejected or not. A. test statistics B. critical region C. null hypothesis D. alternative hypothesis 13. The Choco Toppings, Inc. is one of the manufacturers of chocolate toppings which uses a machine to dispense liquid ingredients into bottles that move along a filling line. The owner claims that the machine can dispense at an average of 50 grams with a standard deviation of 0.? grams. A sample of 35 bottles was selected and it was found out that the average amount dispensed in the sample is 49.3 grams. Test the claims of the owner of the company at 5% level of significance. Find the computed value. A. -5.916 B. -4.950 C. 4.950 D. 5.916 14. When should you use the t-test? i. When you are testing for a population mean ii. When the sampie standard deviation is given iii. When the popuiation standard deviation is given iv. When you are testing a proportion/percentage of a popuiation A. | and II B. H and III C. | and \"I D. II and IV 15. How many samples are best when dealing with z-test? A. cannot be determined C. smaller than 30 B. exactly 30 D. equal or larger than 30 16. Given: Ho: [.1 = 8.6 Ha: u > 8.6 The study has a sample mean of 9.1 and a standard deviation of 2.1 conducted among 25 respondents. Use a = 0. 05. 7. What test statistics should be used? A. t-test B. z-test 0. population mean D. standard deviation 1?. If the absolute value of the computed test statistic is greater than the critical value, then we A. retain the null hypothesis 0. reject the alternative hypothesis B. reject the null hypothesis D. do not reject the null hypothesis 18. When we failed to reject the null hypothesis, which of the following statements is true? A. The conclusion is guaranteed. B. The conclusion is not guaranteed. C. There is enough evidence to back up the claim. D. There is no enough evidence to reject the claim. 19. If the t-computed value is 1.093 and the critical value is 1.699, what will be the decision? A. Reject both hypotheses. C. Do not reject the null hypothesis. B. Reject the null hypothesis. D. Support the alternative hypothesis. 20. What does it mean when the null hypothesis is rejected? A. The null hypothesis is incorrect. B. The alternative hypothesis is correct. C. There is sufficient evidence to support the null hypothesis. D. There is sufficient evidence to disprove the null hypothesis. 21. On the given figure below, the t-computed value is 2.130. What conclusion can be drawn? A. Reject the null hypothesis. B. Fail to reject the null hypothesis. C. Reject only the alternative hypothesis. D. Reject both the null and alternative hypotheses. ii d a _1 . .. ' .. a u 22. From the given figure below, the z-computed value is 1.375. What conclusion can be drawn? A. Reject the null hypothesis. B. Failed to reject the null hypothesis. C. Reject only the alternative hypothesis. D. Reject both the null and alternative hypotheses. 23. In a right-tailed test. if the critical value is greater than the computed value. then we_ A. reject both the null and alternative hypotheses B. do not reject both the null and alternative hypotheses C. reject the null hypothesis and support the alternative hypothesis D. fail to reject the null hypothesis and the alternative hypothesis not supported 24. A drink vending machine is adjusted so that. on average, it dispenses 200ml of fruit juice with a standard deviation of 13ml into a plastic cup. However. the machine tends to go out of adjustment and periodic checks are made to determine the average amount of fruit juice being dispensed. The operator thinks that the amount dispensed is less than 200ml. So. to verify. a sample of 25 drinks is taken to test the adjustment of the machine and a mean of 195 is obtained. For a = 5%, an appropriate decision rule would be A. rejecting the null hypothesis B. not rejecting the null hypothesis C. rejecting both the null and alternative hypotheses D. supporting both the null and alternative hypotheses