1. Find the indicated z-score in the graph to the right. Area = 0.5871 (Round two decimal places if needed) 2. Find the z-score that has 2.5% of the distribution's area to the left. The Z score is_____. (Round two decimal places if needed) 3. In a survey of men in a certain country (ages 20 -29), the mean height was 64.6 inches with a standard deviation of 2.7 inches. (a) What height represents the 80th percentile? (Round two decimal places if needed) (b) What height represents the first quartile? (Round two decimal places if needed) 4. A population has a mean 79 and a standard deviation 27. Find the mean AND standard deviation of a sampling distribution of sample means with sample size n=81. 5. The heights of fully grown trees of a specific species are normally distributed, with a mean of 78.0 feet and a standard deviation of 6.75 feet. Random samples of size 19 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. (ROUND TWO DECIMAL PLACES IF NEEDED FOR STANDARD ERROR) 6. A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1452 and the standard deviation was 317. The test scores of three students selected at random are 1890, 1170, and 2170. Find the z-scores that correspond to each value and determine if that value would be considered unusual. (MUST SHOW WORK ON THIS QUESTION) a. Find the z-score for 1890. b. Find the z-score for 1170. c. Find the z-score for 2170 Please answer the above 6 questions. Please know what you are doing. Round decimals if needed. I will check all answers prior to releasing payment. QUESTION 6 YOU MUST SHOW THE WORK PERFORMED. Due Sunday June 25, 2017 by 12:00PM (CST) USE A STANDARD NORMAL TABLE TO GET RESULTS. SEE ATTACHED FILE