0 Question 1 v IZ 011 pt '0 3 8 19 6) Details The following problems relate to the Normal Distribution. You may use the Normalcdf and InvNorm features in your calculator. A manufacturer knows that their items have a normally distributed length, with a mean of 15.1 inches, and standard deviation of 0.7 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long? 0 Question 10 v lz 0/1 pt '0 3 8 19 6) Details The following problems relate to the Central Limit Theorem. Don't forget to use the adjusted formulas for z-scores and standard deviation! A population of values has a normal distribution with p : 231.3 and a : 23.9. You intend to draw a random sample of size n : 117. What is the mean of the distribution of sample means? #i : ' ' What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) owl l 0 Question 11 v IZ 0/1 pt '0 3 2 19 G) Details The following problems relate to the Central Limit Theorem. Don't forget to use the adjusted formulas for z-scores and standard deviation! A manufacturer knows that their items have a lengths that are skewed right, with a mean of 10.5 inches, and standard deviation of 1 inches. If 46 items are chosen at random, what is the probability that their mean length is greater than 10.2 inches? (Round answer to three decimal places) 0 Question 12 V I3 0/1 pt '0 3 3 19 0 Details The following problems relate to the Central Limit Theorem. Don't forget to use the adjusted formulas for z-scores and standard deviation! A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.9 years, and standard deviation of 1.5 years. If you randomly purchase 25 items, what is the probability that their mean life will be longer than 4 years? 0 Question 13 v IZ 0/1 pt '0 3 8 19 G) Details The following problems relate to the Central Limit Theorem. Don't forget to use the adjusted formulas for Z-scores and standard deviation! A particular fruit's weights are normally distributed, with a mean of 270 grams and a standard deviation of 31 grams. If you pick 19 fruit at random, what is the probability that their mean weight will be between 287 grams and 292 grams 0 Question 14 v B 0/1 pt '0 3 2 19 6) Details The following problems relate to the Central Limit Theorem. Don't forget to use the adjusted formulas for 2-scores and standard deviation! A manufacturer knows that their items have a normally distributed length, with a mean of 7.3 inches, and standard deviation of 1.8 inches. If 10 items are chosen at random, what is the probability that their mean length is less than 8.5 inches? 0 Question 15 v E 0/1 pt '0 3 8 19 6) Details This problem uses a combination of strategies from this week. Read carefully. CNNBC recently reported that the mean annual cost of auto insurance is 957 dollars. Assume the standard deviation is 256 dollars and that the population is normally distributed. You take a simple random sample of 72 auto insurance policies. Find the probability that a single randomly selected value is less than 988 dollars. P(X IZ 0/1 pt '0 3 2:3 19 6) Details The following problems relate to the Normal Distribution. You may use the Normalcdf and InvNorm features in your calculator. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.4 years, and standard deviation of 4.2 years. If you randomly purchase one item, what is the probability it will last longer than 27 years? 0 Question 3 v E 0/1 pt '0 3 8 19 6) Details The following problems relate to the Normal Distribution. You may use the Normalcdf and InvNorm features in your calculator. A particular fruit's weights are normally distributed, with a mean of 752 grams and a standard deviation of 27 grams. If you pick one fruit at random, what is the probability that it will weigh between 738 grams and 760 grams 0 Question 4 v Iz 0/1 pt '0 3 8 19 6) Details The following problems relate to the Normal Distribution. You may use the Normalcdf and InvNorm features in your calculator. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.8 years, and standard deviation of 1.5 years. The 8% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. 0 Question 5 v IZ 0/1 pt '0 3 2 19 6) Details The following problems relate to the Normal Distribution. You may use the Normalcdf and InvNorm features in your calculator. A particular fruit's weights are normally distributed, with a mean of 495 grams and a standard deviation of 26 grams. The heaviest 10% of fruits weigh more than how many grams? Give your answer to the nearest gram. 0 Question 6 v B 0/2 pts '0 3 8 19 6) Details The following problems relate to the Normal Distribution. You may use the Normalcdf and InvNorm features in your calculator. In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.8 inches, and standard deviation of 3.2 inches. A) What is the probability that a randomly chosen child has a height of less than 57.5 inches? Answer=' ' (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 53.5 inches? Answer=' ' (Round your answer to 3 decimal places.) 0 Question 7 v C4 0/1 pt '0 3 8 19 6) Details The following problems relate to the Normal Distribution. You may use the Normalcdf and InvNorm features in your calculator. The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 39 liters, and standard deviation of 3 liters. A) What is the probability that daily production is between 32.2 and 34.1 liters? Do not round until you get your your final answer. Answer=' ' (Round your answer to 4 decimal places.) 0 Question 8 v IZ 0/1 pt '0 3 8 19 6) Details The following problems relate to the Normal Distribution. You may use the Normalcdf and InvNorm features in your calculator. The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.9 grams with a standard deviation of 0.2 grams. For parts (a) through (c), enter your responses as a decimal with 4 decimal places. a) What is the probability that a randomly chosen mouse has a mass of less than 20.66 grams? ' ' b) What is the probability that a randomly chosen mouse has a mass of more than 21.15 grams? ' ' c) What proportion of mice have a mass between 20.79 and 21.02 grams?' ' d) 10% of all mice have a mass of less than ' ' grams. 0 Question 9 v IZ 0/2 pts '0 3 8 19 6) Details The following problems relate to the Normal Distribution. You may use the Normalcdf and InvNorm features in your calculator. The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 39.6 seconds and a standard deviation of 6.9 seconds. a) What is the probability that a randomly chosen student completes the activity in less than 33.2 seconds? b) What is the probability that a randomly chosen student completes the activity in more than 44 seconds? c) What proportion of students take between 33.8 and 43.1 seconds to complete the activity?' ' d) 70% of all students finish the activity in less than ' 'seconds