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| Subject:
Analysis of Variance - Statistics
Category: Miscellaneous Asked by: wrench234-ga List Price: $30.00 |
Posted:
22 Mar 2005 17:52 PST
Expires: 31 Mar 2005 16:41 PST Question ID: 498902 |
An experiment is conducted to study the effects of two sales
approaches ? high pressure (H) and low-pressure (L) ? and to study the
effects of two sales pitches (1 and 2) on the weekly sales of a
product. The data are obtained be using a completely randomized design
and the out of a two-way ANOVA of the sales experiment data.
a. Perform graphical analysis to check for interaction between sales
pressure and sales pitch
b. Test for interactions by setting = .05
c. Test for differences in the effects of the levels of sales pressure
by setting = .05. that is test the significance of sales pressure
effects with = .05
d. Calculate and interpret a 95 percent individual confidence interval for
uh - uL.
e. Test for differences in the effects of the levels of sales pitch by
setting = .05. That is, test the significance of sales pitch
effects with = .05
f. Calculate and interpret a 95 per cent individual confidence
interval for U1-U2
g. Calculate a 95 per cent individual confidence interval for mean
sales when high sales pressure and sales pitch 1. Interpret t his
interval.
Results of Sales approach
Sales PRESSURE Sales Pitch
1 2
H 32 32
29 30
30 28
L 28 25
25 24
23 23
Two-Way Anova Sales Approach
Summary one two total
H
Count 3 3 6
Summary 91 90 181
Average 30.33333 30 30.16667p
Variance 2.333333 4 2.566667
L
Count 3 3 6
Summary 76 72 148
Average 25.33333 24 24.66667q
Variance 6.333333 1 3.466667
Total
Count 6 6
Summary 167 162
Average 27.83333r 27s
Variance 10.96667 12.8
ANOVA Source
of Variation ss df MS F p_value F Crit
Pressure 90.75a 1 90.75f 26.56098j 0.00087k 5.317645
Pitch 2.083333b 1 2.083333b 0.609756i 0.457362m 5.317645
Interaction 0.75c 1 0.75h 0.219512n 0.651913o 5.317645
Within 27.33333d 8 3.416667i
Total 120.9167o 11
aSS(1) bSS(2) cSS(int) dSSE eSSTO fMS(1) gMS(2) hMS(int) iMSE jF(1)
kp-value for F(1) lF(2) mp-value for F(2) nF(int) op-value for F(int
p_ q_
xh xL r_ r_
x1 s_ x1
x2 |
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