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. 10. The average annual cost to attend a public college takes a third of the annual income ofa typical family with college children. At private colleges, the average annual cost is equalto 60% of the typical family's income. The following random samples show the annual costof attending private and public colleges. Data are in thousands of dollars. Assume thepopulation standard deviation of private college is $5000 and population standarddeviation of public college is $4000. Private Colleges52.843.245.033.344.030.645.837.850.542.0Public Colleges20.322.028.215.624.128.522.825.818.525.614.421.8

In statistical inference, there are two types of estimation, Point estimation and Interval…

Answered: 10. The average annual cost to attend a…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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.

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.

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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