1) A population has parameters / = 138.1 and of = 22.8. You intend to draw a random sample of size n = 201. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) Of = 2) A particular fruit's weights are normally distributed, with a mean of 447 grams and a standard deviation of 7 grams. If you pick 10 fruits at random, then 4% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram. 3) Adult female height is normally distributed with a mean of 65.1 inches and a standard deviation of 2.35 inches. If an adult female is randomly selected, what is the probability that the adult female has a height between 60.9 and 64.9 inches? Round your final answer to four decimal places.4) A population of values has a normal distribution with / = 149.1 and o = 55.9. You intend to draw a random sample of size n = 19. Find the probability that a single randomly selected value is greater than 187.6. P(X > 187.6) = Find the probability that a sample of size n = 19 is randomly selected with a mean greater than 187.6. P(M > 187.6) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. 5) Adult female height is normally distributed with a mean of 65.3 inches and a standard deviation of 2.3 inches. If an adult female is randomly selected, what is the probability that the adult female has a height greater than 63.7 inches? Round your final answer to four decimal places.6 On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 104 and a standard deviation of 17. Suppose one individual is randomly chosen. Let X = IQ of an individual. Round all your answers to 2 decimal places if necessary. a. What is the distribution of X? X - N b. Find the probability that a randomly selected person's IQ is over 102. C. A school offers special services for all children in the bottom 7% for IQ scores. What is the highest IQ score a child can have and still receive special services? d. Find the Inter Quartile Range (IQR) for IQ scores. Q1: Q3: IOR:7) The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1600 and the standard deviation is $55. 1435 1490 1545 1600 1655 1710 1765 Distribution of Prices Q What is the approximate percentage of buyers who paid between $1600 and $1710? What is the approximate percentage of buyers who paid between $1545 and $1655? What is the approximate percentage of buyers who paid between $1435 and $1600? What is the approximate percentage of buyers who paid more than $1710? What is the approximate percentage of buyers who paid between $1600 and $1655? What is the approximate percentage of buyers who paid less than $1435? 8) The combined SAT scores for the students at a local high school are normally distributed with a mean of 840 and a standard deviation of 151. The local college requires a minimum SAT score of 849 before students are considered for admision. What percentage of students from this school have SAT scores that do not satisfy the local college's admission requirement? Enter your answer as a percent accurate to 2 decimal places.9) The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days and a standard deviation of 15 days. In what range would you expect to find the middle 95% of most pregnancies? Between and If you were to draw samples of size 53 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample? Between and Enter your answers as numbers. Your answers should be accurate to 1 decimal places. 10) A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.9 inches, and standard deviation of 2.7 inches. If 34 items are chosen at random, what is the probability that their mean length is greater than 20.2 inches? (Round answer to four decimal places) 11) A population has parameters /4 = 138.1 and o = 22.8. You intend to draw a random sample of size n = 201. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) Of =