. The city of Edmonton, Canada recently completed an audit of abandoned bank accounts. An account is considered abandoned if it has not been accessed in the last 20 years. A random sample of 50 such accounts was collected and a 95% confidence interval for the true mean abandoned account balance was found to be (267.43, 1455.00) dollars. Which of the following statements is a correct interpretation of the 95 percent confidence level? (A) If many such samples of size 50 were taken, we would expect 95% of the intervals constructed to contain the mean balance of all abandoned bank accounts in Edmonton. (B) There is a 95% chance that the constructed confidence interval contains the mean balance of all abandoned bank accounts in Edmonton. (C) If another random sample of 50 abandoned bank accounts were taken, we would be 95% confident that the sample mean balance would fall between $267.43 and $1455.00. (D) If many such samples of 50 abandoned bank accounts were taken, we would expect 95% of the intervals constructed to contain the sample mean balance. (E) There is a 95% chance that the sample mean balance of these 50 abandoned bank accounts in Edmonton lies between $267.43 and $1455.00.

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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. The city of Edmonton, Canada recently completed an audit of abandoned bank accounts. An account
is considered abandoned if it has not been accessed in the last 20 years. A random sample of 50 such
accounts was collected and a 95% confidence interval for the true mean abandoned account balance
was found to be (267.43, 1455.00) dollars. Which of the following statements is a correct
interpretation of the 95 percent confidence level?
(A) If many such samples of size 50 were taken, we would expect 95% of the intervals constructed
to contain the mean balance of all abandoned bank accounts in Edmonton.
(B) There is a 95% chance that the constructed confidence interval contains the mean balance of all
abandoned bank accounts in Edmonton.
(C) If another random sample of 50 abandoned bank accounts were taken, we would be 95%
confident that the sample mean balance would fall between $267.43 and $1455.00.
(D) If many such samples of 50 abandoned bank accounts were taken, we would expect 95% of the
intervals constructed to contain the sample mean balance.
(E) There is a 95% chance that the sample mean balance of these 50 abandoned bank accounts in
Edmonton lies between $267.43 and $1455.00.
Transcribed Image Text:. The city of Edmonton, Canada recently completed an audit of abandoned bank accounts. An account is considered abandoned if it has not been accessed in the last 20 years. A random sample of 50 such accounts was collected and a 95% confidence interval for the true mean abandoned account balance was found to be (267.43, 1455.00) dollars. Which of the following statements is a correct interpretation of the 95 percent confidence level? (A) If many such samples of size 50 were taken, we would expect 95% of the intervals constructed to contain the mean balance of all abandoned bank accounts in Edmonton. (B) There is a 95% chance that the constructed confidence interval contains the mean balance of all abandoned bank accounts in Edmonton. (C) If another random sample of 50 abandoned bank accounts were taken, we would be 95% confident that the sample mean balance would fall between $267.43 and $1455.00. (D) If many such samples of 50 abandoned bank accounts were taken, we would expect 95% of the intervals constructed to contain the sample mean balance. (E) There is a 95% chance that the sample mean balance of these 50 abandoned bank accounts in Edmonton lies between $267.43 and $1455.00.
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