MULTIPLE CHOICE. Identifying the appropriate rejection region for a given level of significance. can you please help me to answer this?and may I know the explanation/solution of each number? thanks in advance.I will mark it helpful
Identifying the Appropriate Rejection Region for a Given Level of Significance Directions: Choose the best answer to the given questions or statements. 1. In a left-tailed test with a = 0.01, the critical value of z is: A. -2.576 B. -2.330 C. -1.960 D. -1.645 2. Which of the following defines the area encompassed by the values not included in the non-rejection region or also the area of the tails of the distribution? A. critical value C. level of significance B. rejection region D. population variance 3. For a two-tailed test with variance unknown, n= 16, and a = 0.05, what is the critical value? A. +2.092 B. +2.134 C. 12.145 D. +2.145 4. For a one-tailed test with a sample of 15, the null hypothesis will not be rejected at 5% level of significance if the test statistics is: A. ts-1.761 B. tS-1.753 C. t S-1.703 D. ts -1.697 5. If the level of significance decreased from 0.1 to 0.05, then the boundaries for the critical region move farther away from the center of the distribution. A. true B. false C. both A and B D. cannot be determined 6. In a right-tailed test, the rejection lies in the tails of distribution. A. up B. left C. right D. down 7. Based on the graph, which of the following is TRUE? A. This is a two-tailed test. B. This is a right-tailed test. -1.725 C. Level of significance is 0.025. D. The rejection region is t s -1.725. 8. What is the rejection region of the given normal curve at the right? A. 2 2 1.28 B. 2 2 1.645 C. z 2 1.96 D. z $ 2.33 9. Given a left-tailed test, population standard deviation is unknown, n = 27, a = 0.01, what is the critical value? A. = -2.528 B. = -2.479 C. t= -1.706 D. t = 2479 10. What is the critical value if the population variance is known, a = 0.025, and it is a two-tailed test? A. 2 = +1.28 B. z = +1.645 C. z = +1.96 D. z = 12.33 11. Which of the following is the correct illustration of rejection region t s -1.943? 12. Which of the following is the sketch of the normal curve if z 1.645? D. 13. Given the graph of the normal curve at the right, what are the directional test of hypothesis and critical z value if a = 0.01? A. two-tailed test, $233 B. two-tailed test, + 2575 C. left-tailed test, -1.645 D. right-tailed test, 1.645 14. In the given problem below, what is the rejection region? The factory owner claimed that their bottled fruit juice has the capacity of less than an average of 280 ml. To test the claim, a group of consumers gets a sample of 80 bottles of the fruit juice, calculates the capacity, and then finds the mean capacity to be 265ml. The standard deviation is 8ml. Use a = 0.05 level of significance to test the claim. A. 25 -1.645 C. z 2 1.645 B. IS -1.28 D. z 2 2.33 15. Based on the given problem in no. 14, which is the appropriate rejection region? A. C. B. D