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Q: Analysis of Variance - Statistics ( No Answer,   0 Comments )
Question  
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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