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act. 1 act. 2 Instruction : Choose the letter of the correct answer to the given items. Write them on a separate sheet of paper. . Which of the following statements is ALWAYS TRUE about the mean of y Assessment (Post Test) the sampling distribution A. The mean of the sampling distribution of the means is lesser than the Instruction: Choose the letter of the best answer. Write the letter which corresponds population mean. to your answer in your Statistics and Probability notebook. B. The mean of the sampling distribution of the means is greater than the population mean. 1. Which of the following statements is CORRECT? C. The mean of the sampling distribution of the means is equal to the population mean A. The mean of the sampling distribution of the means is lesser than the D. The mean of the sampling distribution of the means is not equal to the population mean. population Them B. The mean of the sampling distribution of the means is greater than the population mean. 2. A certain population has a mean of 36.5 and a standard deviation of 3.2. C. The means of the samples drawn from a population are always equal If random samples of size 15 are taken from this population, which of to the population the following statements is CORRECT? A. The mean of the sampling distribution of the sample means is equal cans of the samples drawn from a population may be equal, to 36.5. greater than or lesser than the population meant The mean of the sampling distribution 2. A certain population has a mean of 25.5 and a standard deviation of 8.4. If than 36.5. random samples of size 6 are taken from this population, which of the The standard istribution of the sample following statements is CORRECT? A. The mean of the sampling distribution of the sample means is equal D. The standard deviation of distribution of the sample to 25.5. means is equal to 3.2. B. The mean of the sampling distribution of the sample means is lesser than 25.5. . If the variance of the population is 10, what is the variance of the sampling distribution of the sample means of size 20, drawn from such C. The standard deviation of the sampling distribution of the sample population? C. 4 D. The standard deviation of the sampling dist distribution of the sample B. 2 means is equal to 8.4. 3. If the variance of the population is 24, what is the variance of the sampling . How many possible random samples of size n-5 can be drawn from a distribution of the sample means of size 8 drawn from this population? population of size N-10? C. 262 D. 8 B. 252 D. 282 . How many possible random samples of size n-2 can be drawn from a 5. What do you call the quantity, N_? population of size N=6? e population correction A. 6 C. 12 B. Finite population correction factor C. Standard error D. 15 5. Which of the following sample sizes will give the least standard error of the D. Standard error of the variance mean? . 50 C. 200 . A population consists of 3. 6, 9. 12. 15, and 18. If random samples of size 3 will be drawn from this population, what will be the mean of the B. 100 D. 1000 mple means? 6. What is the finite correction factor given that the size of the population is 500 and samples of size 50 are drawn from this population? . 8.5 D .S A. 0.91 C. 0.95 B. 0.93 D. 0.99 7. Which of the following quantities refers to the standard error of the sampling tribution of the sample means? A. of C. H D. N 7. What is the variance of the same population in problem number 6? 8. Which of the following will guarantee a good estimate of the population mean? A. 35.25 nd the standard error is small. A. The sample size is small and the standard B. 26.25 D. 4.9 B. The sample size is small and the standard error is large. C. The sample size is large and the standard error is small. . What is the finite correction factor given that the size of the population D. The sample size is large and the standard error is large. is 200 and samples of size 50 are drawn 50 are drawn from this population? B. 0.92 D. 0.99 . Which of the following refers to the standard deviation of the sampling distribution of the sample mean? 9. A population consisting of 10. 15. 18. 24. 32. 45 and 40. What is the mean of A. Infinite population correction fac the population? B. Finite population correcti A. 21.56 C. 32.45 C. Standard error of the mean B. 26.29 D. 43.20 D. Standard error of the variance 10. In aptitude test, random scores of size 50 are recorded from the national tandard deviation of 4.82. What is the scores whose mean is 28.02 with a standard deviation O. A random sample of size n-250 measurements is to be obtained from A. 3.96 n of the sampling distribution of the sample means C. 28.02 deviation is 8.2 kg. What is the standard deviation of the sampling B. 4.82 D. 50 distribution drawn from this population? hat is the standard deviation of the recorded scores from the problem in number 9? A. 0.32 C. 0.52 A. 0.68 C. 0.81 B. 0.42 . 0.62 B. 0.72 D. 0.90 For numbers 12-13, refer to the tabular presentation in finding the mean 1. Which of the following statement/s is/are TRUE about a good estimate and varian pution of the sample of the population mean? drawn from the population consisting of 5, 10, g of 5, 10, 15, 20, and 25. I. The standard error of the mean is very small Means X Probability P(X) 12.5 II. The standard error of the mean is very large. 13.75 37.81 II. The sample size is very small. 3 45 IV. The sample size is very large 16.25 A. I only Total 228 .12 B. I and I C. II only D. II and III 12. What is the mean of the sampling distribution? 2. The scores of the students D: 20 Don Mercado National High School: 475 students took the test. If the scores of this school follow the same distribution as the national s 13. What is the variance of the sampling distribution? what is the mean score of the 475 students from this school? B. 6.12 D. 1.12 A. 38.5 C. 36.4 For items 14 & 15, please refer to the problem below. B. 3.6 D. 12.96 The midterm performance in Biology of some STEM students are listed as 3. What is the standard deviation of the scores of the 475 students from Tisa National High school who took the test? follows: 86. 92. 84. 94. 86 and 88. Random samples of size 2 are taken from the list. A. 12.96 C. 3.6 B. 0.17 D. 0.41 14. What is the mean of the sampling distribution of the performance of the students? A. 88.33 C. 89.33 B. 88.67 D. 89.67 15. What is the variance of the sampling distribution of the midterm performance and variance of the sampling distribution of the sa A. 32.36 C. 28.35 drawn from the population consisting of 2, 4, 6, 8, and 10. B. 30.22 D. 24.16 Means x Probability P(X) XL - P(X) 14. What is the mean of the sampling distribution? A. 36 C. 3 B. 6 D. 1.73 15. What is the variance of the sampling distribution? A. 36 C. 3 B. 6 D. 2