A study reports that recent college graduates from New Hampshire face the highest average debt of $31,813 (The Boston Globe, M 27, 2012). A researcher from Connecticut wants to determine how recent undergraduates from that state fare. He collects data on d from 40 recent undergraduates. A portion of the data is shown in the accompanying table. Assume that the population standard deviation is $5,000. [You may find it useful to reference the z table.) Debt 24,042 31,921 19,157 31,531 26,757 Debt 34,212 31,923 14,629 31,527 29,866 34,210 37,413 14,629 22,269 24,371 29,873 31,014 37,417 20,112 22,265 22,087 33,845 21,675 17,478 14,952 28,238 22,705 30,056 23,520 35,137 26,214 25,120 23,718 22,928 24,036 28,912 23.638 19,159 26,764 29,332 Dpicture Click here for the Excel Data Eile a. Construct the 95% confidence interval for the mean debt of all undergraduates from Connecticut. (Do not round intermediate calculations. Round "" value to 3 decimal places and final answers to 2 decimal places.) Confidence interval to

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A study reports that recent college graduates from New Hampshire face the highest average debt of $31,813 (The Boston Globe, May
27, 2012). A researcher from Connecticut wants to determine how recent undergraduates from that state fare. He collects data on debt
from 40 recent undergraduates. A portion of the data is shown in the accompanying table. Assume that the population standard
deviation is $5,000. [You may find it useful to reference the z table.)
Debt
Debt
24,042 31,921
19,157 31,531
34,212
14,629
29,866
26,757
31,923
31,527
34,210 37,413
22,269
29, H73
37,417
22,265
33,845
14,629
24,371
31,014
20,112
22,087
21,675 17,478
28,238
14,952
22,705
30,056
23,520
35,137
26,214
25,120
23,718
22,928
24,036 28,912
19,159
23,638
26,764 29,332
Doicture Click here for the Excel Data Ele
a. Construct the 95% confidence interval for the mean debt of all undergraduates from Connecticut. (Do not round intermediate
calculations. Round "z" value to 3 decimal places and final answers to 2 decimal places.)
Confidence interval
to
Transcribed Image Text:A study reports that recent college graduates from New Hampshire face the highest average debt of $31,813 (The Boston Globe, May 27, 2012). A researcher from Connecticut wants to determine how recent undergraduates from that state fare. He collects data on debt from 40 recent undergraduates. A portion of the data is shown in the accompanying table. Assume that the population standard deviation is $5,000. [You may find it useful to reference the z table.) Debt Debt 24,042 31,921 19,157 31,531 34,212 14,629 29,866 26,757 31,923 31,527 34,210 37,413 22,269 29, H73 37,417 22,265 33,845 14,629 24,371 31,014 20,112 22,087 21,675 17,478 28,238 14,952 22,705 30,056 23,520 35,137 26,214 25,120 23,718 22,928 24,036 28,912 19,159 23,638 26,764 29,332 Doicture Click here for the Excel Data Ele a. Construct the 95% confidence interval for the mean debt of all undergraduates from Connecticut. (Do not round intermediate calculations. Round "z" value to 3 decimal places and final answers to 2 decimal places.) Confidence interval to
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