0 Question 1 [:4 0/1 pt '0 3 8 99 (D Details Fill in the blanks: The Central Limit Theorem (CLT) tells us that the distribution of sample :] becomes approximately E, as long as our sample size is at least :, or the distribution of the :] is known to be normally distributed. Submit Question 0 Question 2 B 0/1 pt '0 3 :3 99 6) Details 'Fill in the blanks: The standard error of the mean is the same thing as the :] of all possible sample means. This standard error can be calculated by taking the :] standard deviation divided by the square root of S. Submit Question 0 Question 4 B 0/1 pt '0 3 8 99 (9 Details A population has parameters ,u = 200.1 and 0' = 39.4. You intend to draw a random sample of size n = 177. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) 0'5: Submit Question 0 Question 5 E 0/1 pt '0 3 8 99 0 Details A population of values has a normal distribution with p = 130.7 and 0' = 87.9. You intend to draw a random sample of size n = 22. Find the probability that a single randomly selected value is greater than 82. Find the probability that a sample of size n = 22 is randomly selected with a mean greater than 82. P(:E > 32) =[:] Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. 0 Question 6 I3 011 pt '0 3 23 99 (9 Details A manufacturer knows that their items have a lengths that are skewed right, with a mean of 7.4 inches, and standard deviation of 1.8 inches. If 48 items are chosen at random, what is the probability that their mean length is greater than 7.8 inches? (Round answer to four decimal places) [: Question Help: El Video Submit Question 0 Question 7 E 0/1 pt '0 3 23 99 0 Details A particular fruit's weights are normally distributed, with a mean of 321 grams and a standard deviation of 40 grams. If you pick 18 fruits at random, then 11% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram. l:] Question Help: El Video Q Written Example Submit Question 0 Question 8 E 0/1 pt '0 3 23 99 0 Details The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of 14 days. In what range would you expect to find the middle 68% of most pregnancies? Between [3 days and If you were to draw samples of size 44 from this population, in what range would you expect to find the middle 68% of most averages for the lengths of pregnancies in the sample? Between [3 days and Enter your answers as numbers to the nearest whole days. days. D days. U Question Help: Q Written Example Submit Question 0 Question 9 B 0/1 pt '0 3 8 99 (9 Details A population of values has a normal distribution with ,u, = 111 and a = 78.6. You intend to draw a random sample of size n = 223. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) 0'5: Question Help: El Video Submit Question 0 Question 10 B 0/1 pt '0 3 8 99 (9 Details A population of values has a normal distribution with p. = 121.6 and 0' = 61.3. You intend to draw a random sample of size n = 108. Find the probability that a single randomly selected value is less than 114.5. P(X 545.3) = [3 Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. If 19 of the men are randomly selected, find the probability that their mean score is at least 545.3. PM > 545.3) = [:J Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. If the random sample of 19 men does result in a mean score of 545.3, is there strong evidence to support the claim that the course is actually effective? 0 No. The probability indicates that is is possible by chance alone to randomly select a group of students with a mean as high as 545.3. 0 Yes. The probability indicates that is is (highly?) unlikely that by chance, a randomly selected group of students would get a mean as high as 545.3. 0 Question 15 IE 0/1 pt '0 3 8 99 6) Details Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 176.3 ft and standard deviation 7.5 ft. You intend to measure a random sample of n = 46 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. NOTE: Find values that are TWO standarard deviations above and below the mean. I: a: II a}: Let X represent the full length of a certain species of newt. Assume that X has a normal probability distribution with mean 168.1 inches and standard deviation 6.1 inches. You intend to measure a random sample of n = 46 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 Question 17 B 0/1 pt '0 3 ('3 99 G Details A manufacturer knows that their items have a normally distributed length, with a mean of 13.8 inches, and standard deviation of 3.4 inches. If 10 items are chosen at random, what is the probability that their mean length is less than 14.9 inches? Submit Question 0 Question 18 8 0/1 pt '0 3 23 99 (D Details A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.5 years, and standard deviation of 3 years. If you randomly purchase 10 items, what is the probability that their mean life will be longer than 10 years? [:1 0 Question 19 B 0/1 pt '0 3 23 99 6 Details A particular fruit's weights are normally distributed, with a mean of 206 grams and a standard deviation of 37 grams. If you pick 21 fruit at random, what is the probability that their mean weight will be between 180 grams and 189 grams Submit Question 0 Question 20 E4 011 pt '0 3 ('3 99 (9 Details A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.3 years, and standard deviation of 0.8 years. If 21 items are picked at random, 8% of the time their mean life will be less than how many years? Give your answer to one decimal place. [:1 0 Question 21 I3 0/1 pt '0 3 8 99 0 Details A particular fruit's weights are normally distributed, with a mean of 459 grams and a standard deviation of 11 grams. If you pick 7 fruits at random, then 2% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram. Submit Question 0 Question 22 B 0/1 pt '0 3 Z 99 0 Details On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 430 pounds and a standard deviation of 56 pounds. The cow transport truck holds 15 cows and can hold a maximum weight of 6630. If 15 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 6630? (This is the same as asking what is the probability that their mean weight is over 442.) (Give answer correct to at least three decimal places.)