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The time taken for customers to decide when using the restaurant menu is normally distributed with mean u minutes and standard deviation 1.9 minutes. It requires having a 95% confidence interval for u with a total width of less than 2.0. Find the least number of observations needed to achieve this.

The time taken for customers to decide when using the restaurant menu is normally distributed with mean u minutes and standard deviation 1.9 minutes. It requires having a 95% confidence interval for u with a total width of less than 2.0. Find the least number of observations needed to achieve this.

MATLAB: An Introduction with Applications
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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Question 3: The number of vehicles that arrives at a toll booth in a certain exit road in t minutes us known to follow a Poisson distribution with man 0.0125t. a. Find the probability that at least 3 vehicles arrive in any 20 minutes period. b. The probability that the number of vehicles arrive at the tool booth in q minutes is 0.9. Find the value of q. The time measured in minutes taken by users at in ATM machine is a random variable which is normally distributed with mean u and standard deviation 2.4. If this result from a sample of 90 users is used to construct a 98% interval for u. Find the width of this interval. d. The time taken for customers to decide when using the restaurant menu is normally distributed with mean u minutes and standard deviation 1.9 minutes. It requires having a 95% confidence interval for u with a total width of less than 2.0. Find the least number of observations needed to c. achieve this.
Transcribed Image Text:Question 3: The number of vehicles that arrives at a toll booth in a certain exit road in t minutes us known to follow a Poisson distribution with man 0.0125t. a. Find the probability that at least 3 vehicles arrive in any 20 minutes period. b. The probability that the number of vehicles arrive at the tool booth in q minutes is 0.9. Find the value of q. The time measured in minutes taken by users at in ATM machine is a random variable which is normally distributed with mean u and standard deviation 2.4. If this result from a sample of 90 users is used to construct a 98% interval for u. Find the width of this interval. d. The time taken for customers to decide when using the restaurant menu is normally distributed with mean u minutes and standard deviation 1.9 minutes. It requires having a 95% confidence interval for u with a total width of less than 2.0. Find the least number of observations needed to c. achieve this.
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