State the null and the alternative hypotheses
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%
State the null and the alternative hypotheses
![X
+
5. 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
(Money, April 2012). At private colleges, the average annual cost is equal to about 60% of the
and public colleges. Data are in thousands of dollars.
typical family's income. The following random samples show the annual cost of attending private
Private 52.8 43.2 45
33.3 44
30.6 45.8 37.8 50.5 42
Public 20.3 22
28.2 15.6 24.1 28.5 22.8 25.8 18.5 25.6 14.4 21.8
We want to conduct a hypothesis test to determine whether the cost of attending private colleges
is significantly higher than the cost of attending public colleges. Use a = 0.05. A portion of EXCEL
outputs is displayed in the following table.
t-Test: Two-Sample Assuming Unequal
Variances
Private
Public
42.5
22.3
Mean
48.7
20.5
Variance
12
10
Observations
Hypothesized Mean
Difference
df
t Stat
0
15
COC
MacBook Pro](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F703a50ff-8f5d-40ba-8eea-f13205fb216a%2F5447b1c4-1afb-47cb-a8e8-98d46148d0f3%2Fb11wdfc.jpeg&w=3840&q=75)
Transcribed Image Text:X
+
5. 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
(Money, April 2012). At private colleges, the average annual cost is equal to about 60% of the
and public colleges. Data are in thousands of dollars.
typical family's income. The following random samples show the annual cost of attending private
Private 52.8 43.2 45
33.3 44
30.6 45.8 37.8 50.5 42
Public 20.3 22
28.2 15.6 24.1 28.5 22.8 25.8 18.5 25.6 14.4 21.8
We want to conduct a hypothesis test to determine whether the cost of attending private colleges
is significantly higher than the cost of attending public colleges. Use a = 0.05. A portion of EXCEL
outputs is displayed in the following table.
t-Test: Two-Sample Assuming Unequal
Variances
Private
Public
42.5
22.3
Mean
48.7
20.5
Variance
12
10
Observations
Hypothesized Mean
Difference
df
t Stat
0
15
COC
MacBook Pro
![Hypothesized Mean
Difference
df
t Stat
P(T<=t) one-tail
P(T<=t) two-tail
0
15
--
0.000000525
0.000001005](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F703a50ff-8f5d-40ba-8eea-f13205fb216a%2F5447b1c4-1afb-47cb-a8e8-98d46148d0f3%2Fkg8k3eh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Hypothesized Mean
Difference
df
t Stat
P(T<=t) one-tail
P(T<=t) two-tail
0
15
--
0.000000525
0.000001005
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