H wamap.org 0 Question 15 v E 0/8 pts '0 5 8 99 6) Details Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 134000 dollars. Assume the population standard deviation is 34000 dollars, and that the population is normally distributed. Suppose you take a simple random sample of 66 graduates. Find the probability that a single randomly selected salary is at most 139000 dollars. Find the probability that a sample of size n = 66 is randomly selected with a mean that is at most 139000 dollars. Answer = [2 Enter your answer as a number accurate to 4 decimal places. Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations. Tip: Use the Desmos calculator... 57' main abc func C] DEG H wamap.org Score: 0/188 0/22 answered Progress saved Add Work Q (E) 15' 0 Question 14 v E 0/8 pts '0 5 8 99 (D Details Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 78 ft and standard deviation 81 ft. You intend to measure a random sample of n = 121 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. First, give these values: 0:? l:J Then, fill in the boxes below: -2crm ,u + -2crm Question Help: IE] Video D Post to forum 7:48 1 5GEO wamap.org HW5 Score: 0/ 188 0/22 answered Progress saved Add Work Vo Question 18 0/8 pts 9 5 99 0 Details A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 121.2-cm and a standard deviation of 1.3-cm. For shipment, 15 steel rods are bundled together. Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 121.9-cm. P(ac > 121.9-cm) = Enter your answer as a number accurate to 4 decimal places. Tip: Use the Desmos calculator... main abc func DEG cle a2 b lal 7 8 9 V 4 5 6 XH wamap.org Progress saved Add Work Q (E) 15' 0 Question 17 v E 0/8 pts '0 5 8 99 (D Details CNNBC recently reported that the mean annual cost of auto insurance is 955 dollars. Assume the standard deviation is 262 dollars. You take a simple random sample of 57 auto insurance policies. Assume the population is normally distributed. Find the probability that a single randomly selected value is more than 975 dollars. P(X > 975) = C] Enter your answer as a number accurate to 4 decimal places. Find the probability that a sample of size n = 57 is randomly selected with a mean that is more than 975 dollars. P(s': > 975) = C] Enter your answer as a number accurate to 4 decimal places. Tip. Use the Desmos calculator... ET' main abc func a2 ab '0' EEEE: \\/ (7 7: EEE l Reader View Available core: I " answere Progress saved Add Work a (E) VE' 0 Question 16 v E 0/8 pts '0 5 8 99 6) Details A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 39 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 39 weeks and that the population standard deviation is 4 weeks. Suppose you would like to select a random sample of 36 unemployed individuals for a follow-up study. Assume the population is normally distributed. Find the probability that a single randomly selected value is less than 40. p(x.4o,.:] Find the probability that a sample of size n = 36 is randomly selected with a mean less than 40. P(a':