Suppose paper bag width measurements are approximately normally distributed with a mean of 20.1 inches, and standard deviation of 2.3 inches. What is the probability that the height of a randomly chosen paper bag is between 14.85 and 22.25 inches? Do not round until you get your your final answer, and then round to 3 decimal places. The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.912 g and a standard deviation of 0.286 g. Find the probability of randomly selecting a cigarette with 0.34 g of nicotine or less. Give your answer as a number accurate to 3 decimal places. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.6 years, and standard deviation of 1.3 years. The 5% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tacks used for college admitance Scores on the SAT tosA manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.6 years, and standard deviation of 1.3 years. The 5% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.6 years, and standard deviation of 1.3 years. The 5%% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. For a standard normal distribution, find: P(z > 0.05) Express the probability as a decimal rounded to 4 decimal places.test are mean of 19.5 and a standard deviation of 4.5. It is assumed that the two tests measure the same aptitude, but use different scales. If a student gets an SAT score that is the 67- percentile, find the actual SAT score. Round to a whole number A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1095 and a standard deviation of 203. Scores on the ACT test are normally distributed with a mean of 19.5 and a standard deviation of 4.5. It is assumed that the two tests measure the same aptitude, but use different scales. If a student gets an SAT score that is the 67- percentile, find the actual SAT score. Round to a whole number A particular fruit's weights are normally distributed, with a mean of 478 grams and a standard deviation of 9 grams. If you pick one fruit at random, what is the probability that it will weigh between 447 grams and 457 grams?It is assumed that the two tests sure the same aptitude, but use different scales. If a student gets an SAT score that is the 67- entile, find the actual SAT score. Round to a whole number For a standard normal distribution, find: P(z > 0.05) Express the probability as a decimal rounded to 4 decimal places. A particular fruit's weights are normally distribubed, with a mean of 478 grams and a standard deviation of 9 grams. If you pick one fruit at random, what is the probability that it will weigh between 447 grams and 457 grams?to 4 decimal places. A particular fruit's weights are normally distributed, with a mean of 478 grams and a standard deviation of 9 grams. A particular fruit's weights are normally distributed, with a mean of 478 grams and a standard deviation of If you pick one fruit at random, what is the probability that it will weigh between 447 grams and 457 grams? The heaviest 15% of fruits weigh more than how many grams? The average price of a college math textbook is $158 and the standard deviation is $29. Suppose that 15 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? & - N b. For the group of 15, find the probability that the average price is between $164 and $173. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary . NoO YesThe average price of a college math textbook is $158 and the standard deviation is $29. Suppose that 15 The average price of a college math textbook is $158 and the standard deviation is $29. Suppose that 15 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. For the group of 15, find the probability that the average price is between $164 and $173 c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes A population of proportions has a distribution with p = 0.3 and o = 0.458. You intend to draw a random sample of size n = 11. According to the Central Limit Theorem: What is the mean of the distribution of sample means? P = What is the standard deviation of the distribution of sample means?According to the Central Limit Theorem: What is the mean of the distribution of sample means? A population of proportions has a distribution with p = 0.3 and o = 0.458. You intend to draw a random sample of size n - 11. According to the Central Limit Theorem: What is the mean of the distribution of sample means? p = What is the standard deviation of the distribution of sample means? (Report answer accurate to 3 decimal places.) Op Whether or not one randomly selected person is left-handed will not affect whether or n randomly selected person is left-handed Op = 10% remains constant from one randomly selected person to another There is not a fixed number of person(s) Whether or not one randomly selected person is left-handed will affect whether or not another randomly selected person is left-handed37543 selected people. Approximately 10% of all people are left-handed ("11 little-known facts," 2013). Consider 16 randomly a.) Explain why this is a binomial experiment. Check all that apply. O Whether or not one randomly selected person is left-handed will not affect whether or not another randomly selected person is left-handed Op = 10% remains constant from one randomly selected person to another There is not a fixed number of person(s) Whether or not one randomly selected person is left-handed will affect whether or not another randomly selected person is left-handed O There are only two outcomes for each person(s) O There are more than two outcomes for each person(s) There are a fixed number of person(s) Find the probability, to 4 decimal places: b. ) exactly none are left-handed. c.) exactly 8 are left-handed.d. ) at least 5 are left-handed. e.) at most 7 are left-handed. f.) at least 6 are left-handed. g.) Is 6 an unusually high number of left-handed people in a group of 16? Yes because P(X>=6)>0.05 Yes because P(X0.05 O No because P(X>=6)0.05 O Yes because P(X=6) >0.05g.) Is 6 an unusually high number of left-handed people in a group of 16? Yes because P(X>=6)>0.05 O Yes because P(X0.05 O No because P(X>=6)0.05 O Yes because P(X=6) >0.05 Yes because P(X>=6)=6)>0.05 O No because P(X=6) >0.05 Yes because P(X=6)