Annual Cost of College. The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed in many publications including Money magazine. The Excel file "CollegeCosts" shows random samples of the annual cost of attending private and public colleges. Data are in thousands of dollars. a. Do you use a T or a normal distribution? (Hint: Do you know the population standard deviation of annual costs for both types of colleges?) b. Are the samples matched or independent? (Hint: Are the samples made up of the same set of students?) c. At the 5% level of significance, test whether there is a difference between the mean annual cost of attending private and public colleges. (Hint: notice you are testing for difference, not an increase or decrease. That should tell you whether you are to do a two-tail or one-tail test

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Annual Cost of College. The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed in many publications including Money magazine. The Excel file "CollegeCosts" shows random samples of the annual cost of attending private and public colleges. Data are in thousands of dollars.

a. Do you use a T or a normal distribution? (Hint: Do you know the population standard deviation of annual costs for both types of colleges?)

b. Are the samples matched or independent? (Hint: Are the samples made up of the same set of students?)

c. At the 5% level of significance, test whether there is a difference between the mean annual cost of attending private and public colleges. (Hint: notice you are testing for difference, not an increase or decrease. That should tell you whether you are to do a two-tail or one-tail test).

Private
52.8
43.2
45.0
33.3
44.0
30.6
45.8
37.8
50.5
42.0
Public
20.3
22.0
28.2
15.6
24.1
28.5
22.8
25.8
18.5
25.6
14.4
21.81
Transcribed Image Text:Private 52.8 43.2 45.0 33.3 44.0 30.6 45.8 37.8 50.5 42.0 Public 20.3 22.0 28.2 15.6 24.1 28.5 22.8 25.8 18.5 25.6 14.4 21.81
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