The weights for newborn babies is approximately normally distributed with a mean of 6.3 pounds and a standard deviation of 1.9 pounds. Consider a group of 1500 newborn babies: 1. How many would you expect to weigh between 4 and 9 pounds? 2. How many would you expect to weigh less than 8 pounds? 3. How many would you expect to weigh more than 6 pounds? 4. How many would you expect to weigh between 6.3 and 10 pounds? The combined SAT scores for the students at a local high school are normally distributed with a mean of 848 and a standard deviation of 162. The local college requires a minimum SAT score of 870 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. % Adult male height is normally distributed with a mean of 69.2 inches and a standard deviation of 2.28 inches. If an adult male is randomly selected, what is the probability that the adult male has a height greater than 69.4 inches? Round your final answer to four decimal places. Adult male height is normally distributed with a mean of 69.4 inches and a standard deviation of 2.33 inches. If an adult male is randomly selected, what is the probability that the adult male has a height between 65.6 and 73.7 inches? Round your final answer to four decimal places. A population has parameters = 181.4 and = 75.4. You intend to draw a random sample of size n = 203. What is the mean of the distribution of sample means? x = What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) A particular fruit's weights are normally distributed, with a mean of 687 grams and a standard deviation of 32 grams. If you pick 2 fruits at random, then 16% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram. A population of values has a normal distribution with = 165.3 and = 7.5. You intend to draw a random sample of size n = 12. Find the probability that a single randomly selected value is greater than 159.2. P(X > 159.2) = Find the probability that a sample of size n = 12 is randomly selected with a mean greater than 159.2. P(M> 159.2) = 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. A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5.7 inches, and standard deviation of 1.2 inches. If 39 items are chosen at random, what is the probability that their mean length is greater than 5.8 inches? (Round answer to four decimal places) The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days and a standard deviation of 12 days. In what range would you expect to find the middle 98% of most pregnancies? Between and If you were to draw samples of size 36 from this population, in what range would you expect to find the middle 98% 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. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.8 years, and standard deviation of 0.6 years. If 10 items are picked at random, 7% of the time their mean life will be less than how many years? Give your answer to one decimal place.