T - DISTRIBUTION AND PERCENTILE USING T-TABLE Directions: Encircle the letter of the best answer on your answer 1. Which of the following is NOT a characteristic of t-distribution? A. Like the normal distribution, the t-distribution has a smooth shape. B. Like the normal distribution, the t-distribution is symmetric. If you think about folding it in half at the mean, each side will be the same C. Like a standard normal distribution (or z-distribution), the t-distribution has a mean of one. D. The normal distribution assumes that the population standard deviation is known. The t-distribution does not make this assumption. 2. This refers to the measure of position with data divided into 100 parts. A. Percentiles B. Quartiles C. Deciles D. Median 3. This refers to the maximum number of logically independent values, which vary in the data sample. A. Level of significance B. Percentiles C. Degree of freedom D. Probability 4. What is the right-tailed area if the confidence interval is 75%? A. 0.05 B. 0.10 C. 0.005 D. 0.25 5. What will be the degree of freedom of the data whose sample size is 18? A. 17 B. 18 C. 19 D. 20 For number 6 to 8, use the given data below to answer the following questions. There are 9 students who will be taking up the test, the researcher sets the level of significance to 0.05. The following are the scores of the nine students: 23, 25, 25, 26, 27, 28, 30, 40, 45. 6. What will be the t-value of the given problem? A. 1.729 B. 1.456 C. 1.612 D. 1.551 7. What will be the value of 25th percentile? A. 25 B. 26 C. 27 D. 28 8. Using the t-table, give the t-value of 95th percentile? A. 1.729 B. 1.456 C. 1.612 D. 1.551 9. What will be the degree of freedom whose t-value is 0.689? A. 1 B. 2 C. 3 D. 4 10. Find the t-value of 2.5th percentile using the t-table with a degree of freedom of 6. A. 2.570 B. 4.030 C. -2.570 D. -4.030 For numbers 11-15, fill out the table below. Percentile n t 40 percentile 2 75 percentile 10 90 percentile 15 95" percentile 20 97.5" percentile 25 LLENGTH OF CONFIDENCE INTERVAL AND APPROPRIATE SAMPLE SIZE I. Choose the letter that corresponds to the correct answer. Write your answer on the space provided before the number. 1. It refers to the probability that a population parameter will fall between a set of values for a certain proportion of times. A. confidence interval B. population C. parameter D. sample 2. It pertains to a small width in relation to the length of the confidence interval. A. length of confidence interval C. parameter B. narrowness of the interval D. sample 3. It refers to the absolute difference between the upper confidence limit and the lower confidence limit. A. length of confidence interval C. parameter B. narrowness of the interval D. sample 4. Which of the following formulas is used in finding the length of confidence interval? A. LCI = UCL - LCL B. LCI = UCL + LCL C. n = (-/2 .9) D. n = (/2) 5. What is the length of the confidence interval 0.285

160 9. In a graduate college, the average length of registration time during a semester is 120 minutes with a standard deviation of 25 minutes. With the introduction of a new registration procedure, a random sample of 50 student's system took a lower average of 80 minutes with a standard deviation of 12 minutes. What is the alternative hypothesis of the problem? A. H 1: 1 = 120 B. H 1: 1 120 10. Given the problem "Bryan administered a mathematics achievement test to a random sample of 50 graduating pupils. In this sample, x" = 90a n d s = 10. The population parameters are At = 83and o = 15. Is the performance of the sample above the average?" What is the alternative hypothesis of the problem? A. H 1: 1 83 B. H 1: A 83 11. What is the rejection region of a two-tailed test with a 99% level of confidence? A. +65.1 B. 196.1 C.+2.33 D. #2.58 L 12. What is the rejection region of a left-tailed test with a 99% level of confidence? A. -2.58 B. -2.33 C. +2.33 D. +2.58 13.What is the rejection region of a right-tailed test with a 99% level of confidence? A. -2.58 B. -2.33 C. +2.33 D. +2.58 14. What is the rejection region of a two-tailed test with a 95% level of confidence? A. +65.1 B. +96 .1 C.+2.33 D. +2.58 15. What is the rejection region of a right-tailed test with a 99% level of confidence? A. -1.96 B. -1/65 C. +1.65 D. +1.96FORMULATING HYPOTHESIS Directions: Read each item carefully and write the letter of your answer on the space provided. For items 1-2, use the problem below. Myla conducted a survey to all grade 6 students and claimed that their average age is 12. -_ 1. What should be the null hypothesis? A. All 12 years old students are grade 6. B. Not all 12 years old students are grade 6. C. The average age of grade 6 students is 12. D. The average age of grade 6 students is not 12. 2. What should be the alternative hypothesis? A. All 12 years old students are grade 6. B. Not all 12 years old students are grade 6. C. The average age of grade 6 students is 12. D. The average age of grade 6 students is not 12. 3. Analyze the null hypothesis below based on the given problem and select the word/s that make/s it wrong. Problem: The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of a bottle of their product is 250 ml. Ho: The bottled drinks do not contain 250 ml per bottle. 3 4 A. 1 B. 2 C. 3 D. 4 For items 4-5, refer to the statement below. Is there a significant difference among the treatments in terms of aroma? 4. What should be the alternative hypothesis? A. There is a difference in terms of aroma B. There is no significant difference in aroma C. There is a significant difference among the treatments in terms of aroma. D. There is no significant difference among the treatments in terms of aroma. 5. What should be the null hypothesis? A. There is a difference in terms of aroma B. There is no significant difference in aroma C. There is a significant difference among the treatments in terms of aroma. D. There is no significant difference among the treatments in terms of aroma 6. Analyze the alternative hypothesis below based on the given problem and select the word/s that make/s it wrong. Problem: The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of a bottle of their product is 250 ml. Ha: The bottled drink does contain 250 ml per bottle. 4 A. 1 B. 2 C. 3 D. 4 7. What do you call a number that describes a population characteristic? A. mean B. parameter C. sample D. variable 8. What do you call the set of all people, objects, events, or ideas you want to investigate? L A. data B. population C. sample D. statistics 9. When the null hypothesis is rejected, which of the following is true? A. The conclusion is guaranteed B. The conclusion is not guaranteed C. There is a sufficient evidence to back up the decision D. There is no sufficient evidence to back up the decision. 10. Which of the following symbol refers to greater than or equal to in formulating hypothesis? A. S B. 2 C. > D. 850 C. H : p 850 C. H,: U