10. What does a 95% confidence level mean? A. That 95% of the intervals contain the true population parameter. B. That 95% of the intervals does not contain the true population parameter. C. That 95% of the intervals contain the margin of error. D. That 95% of the intervals does not contain the margin of error. For nos. 11-13, refer to this situation: A sample poll of 100 voters chosen at random from all voters in a certain state indicated that $5% were in favour of Pres. Trump. The survey used 99% confidence level 11. What is the value of p? A. 0.10 B. 0.45 C. 0.55 D. 0.95 12. What is 4? A. 0.10 B. 0.45 C. 0.55 D. 0.95 13. Compute the confidence interval of those who were in favor of Pres. Trump. A. 0.42-0.68 B. 0.45-0.65 C. 0.48-0.62 D. 0.51-0.59 14. In a sample of 500 nursing applicants who applied for work abroad, 23% are men. What is n? A. 500 B. 385 C. 115 D. 23 15. Which of the following best describe variable that can be measured? A. Continuous B. Discrete C. Nominal D. Qualitative 16. Which of the following is a discrete random variable? A. the average amount of electricity consumed B. the number of patients in a hospital C. the amount of paint used in repainting a building D. the average weight of female athletes 17. If two coins are tossed, which is not a possible value of the random variable for the number of tails? A. 0 B. I C. 2 D. 3 18. Which formula gives the probability distribution shown by the table? X 2 3 6 P(X) 1/2 1/3 1/6 A. P(X)- /6 C. P(X)=6/x B. P(X)- X/6 D. P(X) /x 19. Which of the following can serve as the values of a probability distribution? A. P(1) = 0.42, P2) = 0.31, P(3)=0.37 B. P(1) = 9/14, P2) = 5/14, P(3)=1/14 C. P(1) = 0.08, P2) = 0.12, P(3)= 0.83 D. P(1) = 10/33, P2) = 1/3, P(3)- 12/33 20. Which of the following statements is NOT TRUE about variance? A. cannot be negative B. greater than 0 C. less than 0 D. a measure of spread for a distribution of a random variableFor numbers 21, refer to the probability distribution shown below. X 0 2 3 P(X) 1/8 3/ 8 3/8 1/8 21. What is the mean of the probability distribution? A. 1.2 C. 1.6 B. 1.5 D. 1.8 22. Which of the following statement describes variance of a discrete random variable? A. It is a weighted average of the possible values that the random variable can take. B. It is the product of mean and the square of the probability distribution of a discrete random variables C. It is obtained by getting the summation of the product of the square of the difference between the value of X and the expected value times its corresponding probability D. All of the above 23. In 50 items test, Miss Santos, a mathematics teacher claimed that most of the students' scores lie closer to 35. In this situation, score of 35 is considered as, C. Variance C. Expected Value or Mean D. Standard Deviation D. Median 24. What is the shape of a Normal Probability Distributions? A. bar B. line C. circle D. bell 25. What is the area between z = - 1.23 and z = 2? A. 0.0865 B. 0.4772 C. 0.8779 D. 0.8679 26. If the average age of retirement for the population in the Philippines is 65 years and with standard deviation of 5 years, what is the approximate age range in which 68% of people retire? A. 55 - 60 years B. 55 - 65 years C. 60 - 65 years D. 60-70 years 27. What is the sum of the area that corresponds to the right of 0 and to the left of 0? A. 0.5 B. 2 C. 1.5 D. I 28. Each player of the five teams will be randomly chosen to answer the question prior to the study. Which random sampling technique will he apply? A. systematic B. cluster C. stratified D. simpleDirections: Choose the letter that corresponds to the correct answer. Write your answer on a separate sheet. 1. The Philippine High School has 1,500 grade 10 students. Mr. Manalo, the principal, wants to obtain information from the students as to the result of the Mathematics part in NCAE. Based from 500 sample students surveyed, it was found out that the mean falls on 65.80 in the said area. What do 1500 grade 10 students signify? A. statistic B. sample C. population D. parameter 2. Which of the following statement is correct? A. The mean of the sampling distribution of the means is less than the population mean B. The mean of the sampling distribution of the means is greater than the population mean. C. The means of the samples drawn from a population may be equal, greater than or less than the population mean. D. The means of the samples drawn from a population are always equal to the population mean. 3. The mean and standard deviation of the tax value of all vehicles registered in a certain city are u = P13,525 and o = P4,180. Suppose random samples of size 100 are drawn from the population of vehicles, what is the mean #, of the sample mean? A. P13,525 B. P135.25 C. P4,180 D. P418 4. In problem no. 17, what is the standard deviation a, of the sample mean using the formula of = o/vn ? A. P418 B. P4,180 C. P41.80 D. P4.18 5. Which statements is true about the Central Limit Theorem? A. To get a good estimate of the population mean, decrease n. B. To get a good estimate of the population mean, increase n. C. To get a good estimate of the population mean, increase or decrease n. D. To get a good estimate of the population mean, lower n. 6. Which of the following statements is TRUE as n increases? A. The shape of the sampling distribution would become right-skewed. B. The shape of the sampling distribution would become more bell-shaped. C. The shape of the sampling distribution would become left-skewed. D. The shape of the sampling distribution would become rectangular. 7. A molding machine prepares a certain kind of car spare part with a target mean diameter of 40.27 mm and the machine has some variability, so the standard deviation is 0.004 mm. A sample of 6 spare parts is inspected each hour for process control purposes & records are kept of the sample mean diameter. What is the sample mean? A. 6 B. 40.27 C. 402.7 D. 0.004 8. What statistical test is applicable when a sample size is small and the standard deviation is unknown ? A. s-distribution B. t-distribution C. y-distribution D. z-distribution 9. What is the value of 99th percentile with 28 degrees of freedom? A. 1.701 B. 2.763 C. 2.771 D. 2.052