8337 .III 2* E} E myopenmath.com Let X represent the full length of a certain species of newt. Assume that X has a normal probability distribution with mean 45.5 inches and standard deviation 5.5 inches. You intend to measure a random sample of n = 183 newts. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. 0'53: Hint: The middle number represents the mean and the outer values are 2 standard deviations away from the mean. Question Help: IQ Read El Message instructor I Submit Question 8:38 II 6:? E' G myopenmath.com 7.3 Central Limit Theorem: Finding Probability A population of values has a normal distribution with u = 151.3 and a = 32.2. You intend to draw a random sample of size n = 140. a.) Find the probability that a single randomly selected value is greater than 144. P(X > 144) = [:] b.) Find the probability that a sample of size n = 140 is randomly selected with a mean greater than 144. P(M > 144) = [3 (Here M is the mean of the sample) Enter your answers as numbers accurate to 4 decimal places. Hint: First calculate the Z-score with the formula Z a? _ M 0' (5) Then use the standard normal distribution table to find the probability. For part a.), a single value means n = 1. Question Help: [3 Read 1 [Q Read 2 El Message instructor Submit Question 8337 .III "5' E} B myopenmath.com '\" Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 216.1 ft and standard deviation 9.6 ft. You intend to measure a random sample of n = 119 trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis is the standard error (standard deviation) of the sampling distribution. Complete the indicated boxes, correct to two decimal places. '2: HI || 0'53: Hint: The middle number represents the mean and the outer values are 2 standard deviations away from the mean. Question Help: IQ Read 8 Message instructor Submit Question 8:37 II ? E} B myopenmath.com 0 Question 3 v E 0/1 pt '0 3 8 99 G) Details 7.3 Central Limit Theorem Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 248.1 ft and standard deviation 68.4 ft. You intend to measure a random sample of n = 206 trees. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. t HI || 0'53: Hint: The end values represent 2 standard deviations less and more than the mean. Question Help: IQ Read El Message instructor Submit Question 8:36 ..:g: a :1 (5 AA 9 myopenmathcom Task 2: Homework 3C Score: 0/19 0/19 answered Progress saved Done (SJ VE' 0 Question 1 v E 0/1 pt '0 3 8 99 (9 Details 7.1 Central Limit Theorem: Mean and Standard Deviation A population of values has a normal distribution with ,u = 32 and a = 27. You intend to draw a random sample of size n = 179. a.) What is the mean of the distribution of sample means? MD b.) What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) [:1 Question Help: E] Read 8 Message instructor Submit