For number 11 '12. Compute the variance and standard deviation of the given probabilitv distribution below. Solve the variance and standard deviation given the formula and p1: 5.3o a? = in? ~ arm] a 2 __ 13. This theorem states that a sampling distribution of mean approaches a normal distribution as the sample size increases. h. central theorem B. central limit theorem C. sampling theorem D. binomial theorem 1.4. 1il'lihicl'i sample size gives a smaller standard error of the mean according to Central limit theomm? Fl. ll] 5. 15 C. 25 D. 35 __ 15. The standard deviation of the sampling distribution of the sample means according to the Central Limit Theorem is_ _ A. ei-cacti'vr egual to the standard deviation. B. close to the population mean if the sample size is large. C. equal to the population standard deviation divided bv the square root of the sample size. D. cannot be determined 16. Samples of size of 25 are selected from a population with a mean of sill and a standard deviation of 2.5. What is the mean of the sampling distribution of the sample means? [Use the formula: 11,. = u} a. 2.5 B. B C. 25 D. to _ 1?. Samples of size 25 are selected from a population with a mean of 40 and a standard deviation of 2.5. 1What is the standard error of the sampling distribution of sample means? (Use the formula: a. =ohln) a. as a. 1.5 C. 2.5 o. t3 _ 18. In a group of 20 randomly selected studentsr the mean is Loan and the standard deviation is 25. what is the standard deviation of the sampling distribution? {Use the formula: as. =arvn) a. 25 a. 5.59 (3.4 o. 1.25 For number 19-21, 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 signicance to (1135. The following are the scores of nine students in the test: 23, 25, 25, 2t":I 2?, 28. 3o, 4o, 45 _ 19. What t-value must be used to test the hvpothesis given problem? A. 1.229 B. 1.456 C. 1.612 D. 1.551