An official wants to compare the effectiveness rating of an old training method compared to the rating of a new training method for 12 employees. Effectiveness ratings from the old training method vs the new training methods is listed below. Test the hypothesis that the new training method is more effective than the old training method. CV=7 -ld ning chod New Training Method 14 13 7 15 15 16 7 19 11 22 10 11

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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
4. An official wants to compare the effectiveness rating of an old training method compared to the rating
of a new training method for 12 employees. Effectiveness ratings from the old training method vs the
new training methods is listed below. Test the hypothesis that the new training method is more
effective than the old training method. CV=7
Old
New
Training
Method
Training
Method
14
13
15
15
16
7
19
11
22
10
11
Transcribed Image Text:4. An official wants to compare the effectiveness rating of an old training method compared to the rating of a new training method for 12 employees. Effectiveness ratings from the old training method vs the new training methods is listed below. Test the hypothesis that the new training method is more effective than the old training method. CV=7 Old New Training Method Training Method 14 13 15 15 16 7 19 11 22 10 11
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