The manager of a computer help desk operation has collected enough data to conclude that the distribution of time per call is normally distributed with a mean equal to 8.21 minutes and a standard deviation of 2.14 minutes. A call is randomly selected. a) b) c) What is the probability a call will exceed 8.5 min? What is the probability a call will be between 6 and 10 min? The manager has decided to have a signal system attached to the phone so that after a certain period of time, a sound will occur on her employees' phone if she exceeds the time limit. The manager wants to set the time limit at a level such that it will sound on only 10 percent of all calls. What should the time limit be?

Suppose the mean grade for a statistic midterm was 7.5 with Standard Deviation of 10.  Assume that the grades are normally distributed.   a) What perventage of students received at least a 90? b) What perentage of students reveived an 84? c) What percentage of students received a grade between 60 and 79?

17).

Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6. a) b) c)

An elevator has a placard stating that the maximum capacity is 4400 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4400/29 = 152 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 152 lb is ☐ (Round to four decimal places as needed.)

3. An article by S. M. Berry titled “Drive for Show and Putt for Dough (Chance, Vol 12(4), pg 50-54)” discussed driving distances of PGA players. The mean distance for tee shots on the 1999 men’s PGA tour is 272.2 yards with a standard deviation of 8.12 yards. Assuming that the 1999 tee-shot distances are normally distributed, find the percentage of such tee shots that went a. between 260 and 280 yards. b. more than 300 yards. 4. Do Exercise 6.103 on page 288 in the textbook. Show work. (image attached) 5. Refer to question 3 in this homework. The article “Drive for Show and Putt for Dough (Chance, Vol 12(4), pg 50-54)” discussed driving distances of PGA players. The mean distance for tee shots on the 1999 men’s PGA tour is 272.2 yards with a standard deviation of 8.12 yards. Assuming that the 1999 tee-shot distances are normally distributed answer the following questions: a. Determine the quartiles of the driving distances b. Find the 95th percentile.  c. Obtain the third decile (i.e.…

Given a Normal Distribution with a population mean test score of 500 and a population standard deviation of 100.  A.)For a sample of 81 test takers, calculate the standard error of the mean to 2 decimals. B.)What is the probability a sample of 81 test takers will provide a sample mean test score within 20 points of the population mean?

The U.S. Department of Transportation reported recently that all commuters in the New York City area average 120 minutes on the road travelling to and from work each workday. Assume that the standard deviation for the amount of time all commuters in the New York City area travel to and from work each workday equals 30 minutes. a) If a random sample of 36 commuters in the New York City area is selected, calculate the associated standard error of the mean.. b) What is the probability that mean travel time for the commuters in the sample is between 113.5 and 122.5 minutes?

3) Assume that SAT scores are normally distributed (bell-shaped) with a mean of 1300 and standard In order to score among the highest 20%, what must Lights Out Larry score on the SAT? C. deviation of 225. Also, assume that ACT scores are normally distributed (bell-shaped) with a mean of 18 and standard deviation of 3. a. Sketch and label bell-shaped distributions for the SAT and the ACT scores. (Use technology to create the distributions, then copy and paste them here. Or if you handdraw them, make sure they are drawn to scale). d. Suzy wants to follow Larry and attend the same university. In order to do this, she will need to earn an academic scholarship. To be illegible for such a scholarship, she must score at least 25 on the ACT. By the deadline, Suzy will only have taken only the SAT. What score must she have on the SAT in order to argue that she should qualify for the scholarships? Explain your answer. b. Lights Out Larry hopes to attend a small private university in Northeast…