Answered: Heather runs a successful lawn-mowing…

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

Heather runs a successful lawn-mowing business. She would like to estimate the true mean amount of time it takes for her employees to mow a lawn. To do so, she selects a random sample of 30 customers and records the time it takes the employees to mow their lawns. The 90% confidence interval for the true mean time it takes her employees to mow a lawn is 40 to 55 minutes. Which of these statements is a correct interpretation of the confidence level?

A) Approximately 90% of the customers have lawns that take between 40 and 55 minutes to mow.

B) There is a 90% probability that the true mean time it takes for her employees to mow a lawn is between 40 and 55 minutes.

C) If many random samples of size 30 are selected from the population of all customers, approximately 90% of the sample mean times for her employees to mow the lawns will be between 40 and 55 minutes.

D) If many random samples of size 30 are selected from the population of all customers, approximately 90% of the constructed intervals would capture the true mean time it takes for her employees to mow a lawn.

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