Compute the test statistic

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Compute the test statistic 

Hypothesized Mean
Difference
df
t Stat
P(T<=t) one-tail
P(T<=t) two-tail
0
15
--
0.000000525
0.000001005
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
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
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
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