housing structures. The researcher divided the city Into neighborhoods, randomly sample 10 neighborhoods, and then randomly sample 20 households from those neighborhoods. D. Perform and answer the following questions, completely. 27-28. A researcher wants to study Academic Performance In Mathematic of students. The school has 12,000 population. If the researcher allows 5% margin of error, how many students must his samples? 29-30. Solve for the sample variance of the following heights of plants (in centimeters)A. Determine whether the statement is TRUE or FALSE, ( 1. In a probability distribution, the total area is 100 2. The standard normal distribution is a normal distribution with a mean of 1 (one) and a standard deviation of 1 (one). 3. The z-score that corresponds to PBO is not the same z-score that corresponds to an area of 0.80. 4. The z- score can be determined based on area only. 5. The data of normal probability distribution is clustered closely around the center. 6. Percentiles can be a value that is unobserved in the dataset. B. Choose the letter of the correct answer and write before each number. Write "e" if the answer is not among the choices. 7-8. Find the z-score for shaded region (Area= 0.7400) under the standard normal distribution. a. Z=0.63 b. Z= 0.64 C. 2= 0.65 d. Z=0.66 9-10. Find the z-score for shaded region (Area= 0.4000) under the standard normal distribution. a. Z=-1.08 b. Z=-1.18 c. Z=-1.28 d. Z=-1.38 11-12. Determine the percentile of z-score =0. 25 b. 50 C. 75 d. 100 C. Perform and answer the following questions, completely. 13-14. If a random variable that is normally distributed has a mean of 28 and a standard deviation of 4, convert x= 48 to a z-score. Round to two decimal places, if necessary. 15-16. Suppose IQ scores in a large sample have a mean of 98 and a standard deviation of 12. Find the IQ score that correspond to the following z= 0.68. Round each to the nearest whole number. 17-18. The results of a common standardized test used in psychology research is designed so that the population mean is 160 and the standard deviation is 50. A subject earns a score of 310, Find the z- score for this raw score. _19-20. Suppose that the scores on a statewide standardized test are normally distributed with a mean of 68 and a standard deviation of 3. Estimate the percentage of scores that were above 71. For Numbers 21-26. Determine the appropriate sampling method used in the selection of participant or samples. Select answer from the table and write the answer before each number Systematic Simple Random/ Stratified Cluster Multi- Stage Lottery 21. A criminologist interviews every 25th25th prisoner In a randomly selected jail in Canada. 22. In a study, the sample is chosen by writing everyone's name on a playing card, shuffling the deck, then choosing the top 20 cards. 23. In a study, the sample is chosen by dividing the population by Gender, and choosing 30 people of each gender. 24. From each region, 5 representative counties are selected. (In total, all the claims originating from 35 counties are examined.) 25. A class consists of 17 sophomores and 11 juniors. The names of all the students in the class are listed on separate pieces of paper. The teacher places the names of all the juniors in one hat, all the names of the sophomores in another hat, and mixes them thoroughly before reaching in to draw seven names from each hat. 26. In order to find out which subjects U.S. school children preferred you divide the population of US school children into states and take a simple random sample of states, Then, a simple random sample of schools from within those states. Finally, perform simple random sampling on the students within the schools to get your final sample. D. Perform and answer the following questions, completely