10. The average annual cost to attend a public college takes a third of the annual income of a typical family with college children. At private colleges, the average annual cost is equal to 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. Assume the population standard deviation of private college is $5000 and population standard deviation of public college is $4000.
10. The average annual cost to attend a public college takes a third of the annual income of a typical family with college children. At private colleges, the average annual cost is equal to 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. Assume the population standard deviation of private college is $5000 and population standard deviation of public college is $4000.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Question
a. Compute the sample mean and sample standard deviation for private and public colleges.
b. Construct a 95% confidence interval of the difference between the two population means. Interpret the result.
Transcribed Image Text:10. The average annual cost to attend a public college takes a third of the annual income of
a typical family with college children. At private colleges, the average annual cost is equal
to 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. Assume the
population standard deviation of private college is $5000 and population standard
deviation of public college is $4000.
Transcribed Image Text:Private Colleges
52.8
43.2
45.0
33.3
44.0
30.6
45.8
37.8
50.5
42.0
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
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