The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.0 minutes and standard deviation 1.7 minutes. Suppose that a random sample of $ n = 50 $ customers is observed. Find the probability that the average time waiting in line for these customers is(a) Less than 10 minutes(b) Between 5 and 10 minutes(c) Less than 6 minutesRound your answers to four decimal places (e.g. 0.9876).(a) The probability is[Input Box](b) The probability is[Input Box](c) The probability is[Input Box]

Given information: μ=8σ=1.7n=50 Here, n≥30, as per CLT, the sampling distribution of the sample mean…

Answered: The amount of time that a customer…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean μ = 7.5 minutes and a standard deviation o=3.6 minutes. If a random sample of 81 customers is observed, find the probability that their mean time at the teller's window is (a) at most 6.7 minutes; (b) more than 7.9 minutes; (c) at least 7.5 minutes but less than 8.1 minutes. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability that the mean time is at most 6.7 minutes is (Round to four decimal places as needed.) (b) The probability that the mean time is more than 7.9 minutes is (Round to four decimal places as needed.) (c) The probability that the mean time is between 7.5 minutes and 8.1 minutes is (Round to four decimal places as needed.) 4
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 149000 dollars. Assume the standard deviation is 44000 dollars. Suppose you take a simple random sample of 63 graduates.Find the probability that a single randomly selected salary is at least 144000 dollars.P(X > 144000) = 0.5438 wrong toFind the probability that a sample of size n=63n=63 is randomly selected with a mean that is at least 144000 dollars.P(M > 144000) = 0.8159 it is wrong is> no >or equal please
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 500 and a standard deviation of 170. The grading process of this year's exam has just begun. The average score of the 35exams graded so far is 512. What is the probability that a sample of 35 exams will have a mean score of 512 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 170. The grading process of this years exam has just begun. The average score of the 40 exams graded so far is 490. What is the probability that a sample of 40 exams will have a mean score of 490 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
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 124000 dollars. Assume the standard deviation is 43000 dollars. Suppose you take a simple random sample of 54 graduates. Find the probability that a single randomly selected salary is more than 116000 dollars. P(X > 116000) = Find the probability that a sample of size n = 54 is randomly selected with a mean that is more than 116000 dollars. P(M > 116000) = Enter your answers as numbers accurate to 4 decimal places. Question Help: Video Submit Question 0 a $ h hp
The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
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A statistician wishing to test a hypothesis that students score at most 75% on the final exam in an introductory statistics course decides to randomly select 20 students in the class and have them take the exam early. The average score of the 20 students on the exam is 72% and the standard deviation in the population is known to be = 15%. The statistician calculates the test statistic to be –0.8944. If the statistician chose to do a two-sided alternative, the P-value would be calculated by: a. finding the area to the right of –0.8944 and doubling it. b. finding the area to the left of –0.8944 and doubling it. c. finding the area to the right of the absolute value of –0.8944 and dividing it by two. d. finding the area to the left of –0.8944
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