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Verify the Central Limit Theorem by: :1. Compute the variance (02,; )and standard deviation ( 02) 0f the POPulation b. Compute the variance (02: ) and the standard deviation (of ) of the sampling deistribution of the sample mean 0. Com!mm of and 0f TEST V: PROBLEM SOLVING. Analyze and then solve the following problems with complete solution. Use separate sheet if necessary. the table 1. Find the variance and the standard deviation of the following frequency distribution. Complete X P(X) X. P(X) Xz 0.015 X2 . P(X ) 0.025 0.100 0.150 0.040 0.050 JO CO V Q UI A WIN 0.250 0.140 0.060 0.080 0.090 H = [[x2 . P(X)] - 142 2. A population consists of seven values ( 3, 4 , 5, 6, 7, 8, 9 ). A sample of size 2 is to be taken from this population. Compute for the variance and standard deviation of the sampling distribution of the sample mean. 3. A variable is normally distributed with u = 120 and o = 10. Find the z - score corresponding to the following raw scores. Raw scores Z- score 1. 85 2. 95 3. 100 4. 125 5. 130