The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college-age children.t At private colleges, the average annual cost is equal to about 60% of the typical family's income. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. Private Colleges Public Colleges 52.8 42.2 45.0 33.3 45.0 20.3 22.0 28.2 15.6 24.1 28.5 31.6 45.8 36.8 50.5 43.0 22.8 25.8 18.5 25.6 14.4 21.8 (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 thousand sample standard deviation $ 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.) sample mean thousand sample standard deviation thousand (b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private - Public.) 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 $ more than the mean annual cost to attend public college
The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college-age children.t At private colleges, the average annual cost is equal to about 60% of the typical family's income. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. Private Colleges Public Colleges 52.8 42.2 45.0 33.3 45.0 20.3 22.0 28.2 15.6 24.1 28.5 31.6 45.8 36.8 50.5 43.0 22.8 25.8 18.5 25.6 14.4 21.8 (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 thousand sample standard deviation $ 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.) sample mean thousand sample standard deviation thousand (b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private - Public.) 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 $ 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
Related questions
Question
100%

Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question.
The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college-age children.t At private
colleges, the average annual cost is equal to about 60% of the typical family's income. The following random samples show the annual cost of attending private and public colleges. Data are in thousands
of dollars.
Private Colleges
Public Colleges
52.8
42.2
45.0
33.3
45.0
20.3
22.0
28.2
15.6
24.1
28.5
31.6
45.8
36.8
50.5
43.0
22.8
25.8
18.5
25.6
14.4
21.8
(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
thousand
sample standard deviation
$
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.)
sample mean
$
thousand
sample standard deviation
thousand
(b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private – Public.)
$
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 $
more than the mean annual cost to attend public college
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