Consumer Reports rated airlines and found that 89% of the flights involved in the study arrived on time (i.e., within 15 minutes of scheduled arrival time). Assuming that the on-time arrival rate is representative of the entire commercial airline industry,consider a random sample of 205 flights. (Round your answers to two decimal places.)What is the expected number that will arrive on time?What is the standard deviation of this distribution?

Answered: Consumer Reports rated airlines and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is greater than 8?
Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 55 minutes. Assume that the arrival times follow a normal distribution. (a) At what time after the doors open will 89% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.) minutes after doors open(b) At what time after the doors open will only 13% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.) minutes after doors open(c) Do you think the probability distribution of arrival times for Friday might be different from the distribution of arrival times for Saturday? Explain your answer.
Consider an exam with a mean of 76 and a standard deviation of 5 points. What is the probability that a randomly chosen student scored got a B or better on the exam (scored an 80 or better)? A. 0.3561 B. 0.7881 C. 0.4511 D. 0.2119
Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 52 minutes. Assume that the arrival times follow a normal distribution. (a) At what time after the doors open will 92% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.) (b) At what time after the doors open will only 14% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.) (c) Do you think the probability distribution of arrival times for Friday might be different from the distribution of arrival times for Saturday? Explain your answer.
Business Weekly conducted a survey of graduates from several top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $124,000. Assume the standard deviation is $42,000. Suppose you take a simple random sample of 17 graduates. Round all answers to four decimal places if necessary What is the standard deviation of ¯¯¯XX¯? For a single randomly selected graduate, find the probability that her salary is between $111,920 and $125,213. For a simple random sample of 17 graduates, find the probability that the average salary is between $111,920 and $125,213.
Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is less than 8?
The cost of textbooks is normally distributed with a mean of $222. You do not know the population standard deviation, but you know the sample standard deviation is $46.What is the probability that from a sample of 15 textbooks, their average cost will be less than $230? (Report answer accurate to three decimal places.)
In a local university, 80% of the students live in the dormitories. A random sample of 64 students is selected for a particular study. The standard deviation of p-bar is a. 64 b. 0.05 c. 1.6 d. 0.16 e. 0.5
The salary of a recent graduate from a northeast university with an MBA follows a normal distribution with a mean starting salary of $78,000 with a standard deviation of $15,000. You apply the normal model and discover that approximately 7.1% receive a starting salary of more than $100,000. A university administrator surveyed a random sample of 450 of their recent graduates that earned an MBA. How many of these graduates would you expect to receive a starting salary of more than $100,000? Explain.
Consumer Reports rated airlines and found that 82% of the flights involved in the study arrived on time (i.e., within 15 minutes of scheduled arrival time). Assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of 190 flights. (Round your answers to two decimal places.) What is the expected number that will arrive on time? What is the standard deviation of this distribution?
Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is greater than 8.5?

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