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%
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%
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Heather runs a successful lawn-mowing business. She would like to estimate the true
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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