8:39 .I '5' C} G myopenmath.com 7.3 Central Limit Theorem: Finding X Value The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 12 days. In what range would you expect to find the middle 98% of most pregnancies? (Use a single sample) Ci Sm If you were to draw samples of size 46 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 [3 and [:] days. Use 1 decimal place. Question Help: F5\"! Read 1 F5\"! Read 2 8 Message instructor Submit Question 4:28 II 6:? E' G myopenmath.com 0 Question 7 v E 0/1 pt '0 3 8 98 G) Details 7.3 Central Limit Theorem: Finding Probability A population of values has a normal distribution with u = 77.3 and or = 95.5. You intend to draw a random sample of size n = 175. a.) Find the probability that a single randomly selected value is between 79.5 and 82.4. p(79.5 B 0/1 pt '0 3 :3 99 G) Details 7.3 Central Limit Theorem: Finding X Value 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 6.9-in and a standard deviation of 1.1-in. In what range would you expect to find the middle 50% of most head breadths? Between [:] and C] inches. If you were to draw samples of size 48 from this population, in what range would you expect to find the middle 50% of most averages for the breadths of male heads in the sample? Between [3 and [:] inches. Use 2 decimal places. Question Help: E] Read 1 F5"! Read 2 8 Message instructor Submit Question 4:28 myopenmath.com Question 8 > 0/1 pt 9 3 98 0 Details 7.3 Central Limit Theorem: Finding Probability A population of values has a normal distribution with u = 151.9 and o = 73.5. You intend to draw a random sample of size n = 187. Find the probability that a sample of size n = 187 is randomly selected with a mean greater than 165.9. P(M > 165.9) = Enter your answers as numbers accurate to 4 decimal places. Question Help: Read 1 B Read 2 Message instructor Submit Question4:28 I ? E} G myopenmath.com E 0/1 pt '0 3 8 99 G) Details 7.3 Central Limit Theorem: Finding Probability A manufacturer knows that their items have a normally distributed length, with a mean of 13.6 inches, and standard deviation of 4.1 inches. If 17 items are chosen at random, what is the probability that their mean length is less than 14.5 inches? Round to 4 decimal places [3 Question Help: IQ Read 1 [Q Read 2 8 Message instructor Submit Question 4:28 I ? [E' G myopenmath.com 'WbJWTIII ' \\ E 0/1 pt '0 3 8 99 G) Details 7.3 Central Limit Theorem: Finding X Value The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 12 days. In what range would you expect to find the middle 98% of most pregnancies? (Use a single sample) D Em If you were to draw samples of size 46 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 [3 and C] days. Use 1 decimal place. Question Help: [9 Read 1 [9 Read 2 8 Message instructor Submit