You may need to use the appropriate appendix table or technology to answer this question. The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed private and public colleges. Data are in thousands of dollars. Private Colleges 51.8 42.2 44.0 32.3 29.6 44.8 36.8 50.5 44.0 43.0 Public Colleges 20.3 22.0 28.2 15.6 24.1 28.5 18.5 25.6 14.4 21.8 22.8 25.8

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 22PFA
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You may need to use the appropriate appendix table or technology to answer this question.
The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Tim
private and public colleges. Data are in thousands of dollars.
Private Colleges
51.8
29.6
42.2 44.0 32.3 44.0
44.8 36.8 50.5 43.0
(a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges
sample mean
$41.9
thousand
sample standard deviation
7.14
x thousand
Public Colleges
20.3 22.0 28.2 15.6 24.1 28.5
22.8 25.8 18.5 25.6 14.4 21.8
Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges.
sample mean
sample standard deviation
$26.4 X thousand
7.14
X thousand
(b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private - Publi
$19.6
thousand
Interpret this value in terms of the annual cost (in dollars) of attending private and public colleges.
We estimate that the mean annual cost to attend private colleges is $ 19600
X thousand
✓
more than the mean annual cost to
(c) Develop a 95% confidence interval (in thousand dollars) of the difference between the mean annual cost of attending privat
one decimal place.)
$22.3 x thousand to $4.53
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Tim private and public colleges. Data are in thousands of dollars. Private Colleges 51.8 29.6 42.2 44.0 32.3 44.0 44.8 36.8 50.5 43.0 (a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges sample mean $41.9 thousand sample standard deviation 7.14 x thousand Public Colleges 20.3 22.0 28.2 15.6 24.1 28.5 22.8 25.8 18.5 25.6 14.4 21.8 Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. sample mean sample standard deviation $26.4 X thousand 7.14 X thousand (b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private - Publi $19.6 thousand Interpret this value in terms of the annual cost (in dollars) of attending private and public colleges. We estimate that the mean annual cost to attend private colleges is $ 19600 X thousand ✓ more than the mean annual cost to (c) Develop a 95% confidence interval (in thousand dollars) of the difference between the mean annual cost of attending privat one decimal place.) $22.3 x thousand to $4.53
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