0 Question 5 E 011 pt '0 3 2:3 96 CD Details For a standard normal distribution, find: P(z > c) = 0.2965 Find c rounded to two decimal places. Submit Question Refresher: A percentile for a value, x, is the percentage of values that is less than x. See Module 2, HW 2.3 for review. I Question 6 B 011 pt '0 3 3 99 (0 Details 2 = -1 is what percentile? ' ' percentile State your answer to the nearest tenth of a percent. Submit Question 0 Question 7 8 0:1 pt '0 3 8 99 CD Details A smartphone manufacturer knows that their phone battery's have a normally distributed lifespan, with a mean of 2.8 years, and standard deviation of 0.6 years. If you randomly purchase one phone, what is the probability the battery will last longer than 3 years? Round answer to three decimal places Question Help: El Video Submit Question 0 Question 8 I14 on pt '0 3 Z 99 Details In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.5 inches, and standard deviation of 7.3 inches. What is the probability that the height of a randomly chosen child is between 54.65 and 63.25 inches? Do not round until you get your your final answer, and then round to 3 decimal places. Answer=| ' {Round your answer to 3 decimal places.) Submit Question 0 Question 9 IE on pt '0 3 Z 99 Details Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 5.7-in and a standard deviation of 0.9-in. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 2.1% or largest 2.1%. What is the minimum head breadth that will fit the clientele? min = ' 'inches What is the maximum head breadth that will fit the clientele? min = ' 'inches Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. Question Help: El Video Submit Question 0 Question 10 Iii/on pt '0 3 Z 99 Details The scores on a standardized test are normally distributed with a mean of 90 and standard deviation of 5. What test score is 0.5 standard deviations below the mean? Question Help: [2 Written ExampLe Submit Question 0 Question 11 E on pt '0 3 8 99 (D Details The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 119 and standard deviation of 23 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. 96 b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue! people c. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1? % d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places. lbs Question Help: El Video 1 El Video 2 Submit Question 0 Question 12 E 011 pt '0 3 Z 99 (9 Details A manufacturer knows that their items have a normally distributed length, with a mean of 18.8 inches, and standard deviation of 4.7 inches. If one item is chosen at random, what is the probability that it is less than 13.3 inches long? Question Help: E| Video Submit Question 0 Question 13 E4 on pt '0 3 B 99 6) Details A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.4 years, and standard deviation of 2 years. The 8% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. Question Help: El Video Submit Question 0 Question 14 E4 on pt '0 3 B 99 6) Details A particular fruit's weights are normally distributed, with a mean of 745 grams and a standard deviation of 19 grams. The heaviest 16% of fruits weigh more than how many grams? Give your answer to the nearest gram. Question Help: El Video Submit Question 0 Question 15 E4 on pt '0 3 B 99 6) Details In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.9 inches, and standard deviation of 6.5 inches. A) What is the probability that a randomly chosen child has a height of less than 51.65 inches? Answer=l l (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 54.5 inches? Answer=l l (Round your answer to 3 decimal places.) Question Help: El Video Submit Question 0 Question 15 a on pt '0 3 B 99 CD Details The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 38 liters, and standard deviation of 6.7 liters. A} What is the probability that daily production is between 26.5 and 33.9 liters? Do not round until you get your your final answer. Answer: l (Round your answer to 4 decimal places.) Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table. Submit Question 0 Question 17 E on pt '0 3 3 99 CD Details A distribution of values is normal with a mean of 184 and a standard deviation of 10.1. Find the probability that a randomly selected value is less than 174.9. P(X 128.9-cm)=l l Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. Submit Question 0 Question 19 B on pt '0 3 8 99 (9 Details The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.53 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? I =l l b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. c} If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? 2 =l l d) What percentage of women are TALLER than 5 feet 1 1 inches? Round to nearest tenth of a percent. e} Who is relatively taller: a 6'3\" American man or a 5'11" American woman? Defend your choice in a meaningful sentence. Submit