3. A professor is interested in whether there is a relationship or not between a student's major and amount of sleep. The numbers for each are below. Test if there is a relationship using the .05 level of significance. CV=5.991 Psychology Nursing Other Less than 5 hours 20 30 25 More than 5 hours 15 15 10

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 23PFA
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Use the .05 level of significance. Solve for the appropriate test statistic
(0 – E)²
E(x – x)²
ΣΟ
x² =
s' =
E
п — 1
X, - X,
n,(n, +1).
U, = n,n, +
2
Vn, -1' n, -1
n, (п, +1)
U, = n,n, +
ED
t =
μΣ D2_(Σ D)2
n-1
Source
S
df
MS
F
Between Groups
ng-1
SsB/dfB
msB/msw
(B)
= ass
s$w = Ex-x)²
Within Groups (W)
N-ng
sSw/dfw
Total (T)
SSg+ SSw
N-1
Source
df
MS
F
Ec² G²
ssc
Between Conditions (C)
с-1
ssc/dfc msc/msR
S
CS
G²
Between Subjects (S)
SSs =
s-1
CS
Residual (R)
SSR = SST-SSc-sSs
(c-1)(s-1)
sSR/dfR
G²
SS7 = EX²
Total (T)
cs-1
CS
Transcribed Image Text:(0 – E)² E(x – x)² ΣΟ x² = s' = E п — 1 X, - X, n,(n, +1). U, = n,n, + 2 Vn, -1' n, -1 n, (п, +1) U, = n,n, + ED t = μΣ D2_(Σ D)2 n-1 Source S df MS F Between Groups ng-1 SsB/dfB msB/msw (B) = ass s$w = Ex-x)² Within Groups (W) N-ng sSw/dfw Total (T) SSg+ SSw N-1 Source df MS F Ec² G² ssc Between Conditions (C) с-1 ssc/dfc msc/msR S CS G² Between Subjects (S) SSs = s-1 CS Residual (R) SSR = SST-SSc-sSs (c-1)(s-1) sSR/dfR G² SS7 = EX² Total (T) cs-1 CS
3. A professor is interested in whether there is a relationship or not between a student's major and
amount of sleep. The numbers for each are below. Test if there is a relationship using the .05 level of
significance. CV=5.991
Psychology
Nursing
Other
Less than 5 hours
20
30
25
More than 5 hours
15
15
10
Transcribed Image Text:3. A professor is interested in whether there is a relationship or not between a student's major and amount of sleep. The numbers for each are below. Test if there is a relationship using the .05 level of significance. CV=5.991 Psychology Nursing Other Less than 5 hours 20 30 25 More than 5 hours 15 15 10
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