The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.com). The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. 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 Private Colleges 52.8 42.2 45.0 343 44.0 29.5 44.8 38.8 50.5 42.0 (a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges (Round the standard deviation to two decimal places.) sample mean sample standard deviation $423 $ 42.58 X thousand X thousand Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges (Round the standard deviation to two decimal places) x thousand sample mean $423 sample standard deviation $18.01 x thousand (b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private-Public) $ 202 X thousand Interpret this value in terms of the annual cost (in dollars) of attending private and public colleges bate more than the mean annual cost to attend public college
The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.com). The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. 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 Private Colleges 52.8 42.2 45.0 343 44.0 29.5 44.8 38.8 50.5 42.0 (a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges (Round the standard deviation to two decimal places.) sample mean sample standard deviation $423 $ 42.58 X thousand X thousand Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges (Round the standard deviation to two decimal places) x thousand sample mean $423 sample standard deviation $18.01 x thousand (b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private-Public) $ 202 X thousand Interpret this value in terms of the annual cost (in dollars) of attending private and public colleges bate more than the mean annual cost to attend public college
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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Transcribed Image Text:You may need to use the appropriate appenduk table of technology to answer the question.
The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time.com). The following random samples show the annual
cost of attending private and public colleges. Data are in thousands of dollars.
Public Colleges
20.3 22.0 26.2 15.6 24.1 28.5
258 18.5 25.6 14.4 21.81
Private Colleges
52.8 42.2 45.0 34.3 44.0
29.6
44:8 38.8 50.5 42.0
(a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decimal
places.)
sample mean
sample standard deviation
$423
$4258
22.8
sample mean
sample standard deviation. $18.01
X thousand
X thousand
Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decimal places.)
x thousand
$ 423
x
thousand
(b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private Public.)
$ 202
x 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 s
more than the mean annual cost to attend public college
(c) Develop a 95% confidence interval (in thousand dollars) of the difference between the mean annual cost of attending private and public colleges. (Use Private-Public Round
your answers to one decimal place.)
thousand to s
thousand
C
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