Source DF SS MS Factor 81.11 40.56 15.61 0.000 Error 14 36.37 2.60 Total 16 117.48 S = 1.612 R-Sq = 69.04% R-Sq (adj) = 64.62% Level Utility Stocks 5 Retail Stocks Banking Stocks 6 Mean StDev 16.520 1.611 11.492 15.547 0.378 2.249 6. Utility Stocks subtracted from: Upper -7.121 -5.028 -2.935 Lower Center Retail Stocks Banking Stocks -3.066 -0.972 1.121 -------+- Retail Stocks Banking Stocks -------) (-----*-----) ------- -7.0 -3.5 0.0 3.5 Retail stocks subtracted from: Lower Center Upper 4.056 6.051 Banking Stocks 2.060 Banking Stocks (-----+----) -7.0 -3.5 0.0 3.5

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A stock analyst wants to determine whether there is a difference in the mean rate of return for 3 types of stock (utility, retail, banking). Using the 0.05 level of significance; 

  • What is the critical value? 
  • What is the test statistic? 
  • Can the analyst conclude there is a difference between the mean rates of return for utility & retail stocks? For utility & banking stocks? For banking and retail stocks? (negative value should be indicated by a minus sign) 
Source
DF
SS
MS
Factor
81.11
40.56
15.61
0.000
Error
14
36.37
2.60
Total
16
117.48
S = 1.612
R-Sq = 69.04%
R-Sq (adj) = 64.62%
Level
Utility Stocks 5
Retail Stocks
Banking Stocks 6
Mean
StDev
16.520
1.611
11.492
15.547
0.378
2.249
6.
Utility Stocks subtracted from:
Upper
-7.121 -5.028 -2.935
Lower Center
Retail Stocks
Banking Stocks -3.066 -0.972
1.121
-------+-
Retail Stocks
Banking Stocks
-------)
(-----*-----)
-------
-7.0
-3.5
0.0
3.5
Retail stocks subtracted from:
Lower Center Upper
4.056 6.051
Banking Stocks 2.060
Banking Stocks
(-----+----)
-7.0
-3.5
0.0
3.5
Transcribed Image Text:Source DF SS MS Factor 81.11 40.56 15.61 0.000 Error 14 36.37 2.60 Total 16 117.48 S = 1.612 R-Sq = 69.04% R-Sq (adj) = 64.62% Level Utility Stocks 5 Retail Stocks Banking Stocks 6 Mean StDev 16.520 1.611 11.492 15.547 0.378 2.249 6. Utility Stocks subtracted from: Upper -7.121 -5.028 -2.935 Lower Center Retail Stocks Banking Stocks -3.066 -0.972 1.121 -------+- Retail Stocks Banking Stocks -------) (-----*-----) ------- -7.0 -3.5 0.0 3.5 Retail stocks subtracted from: Lower Center Upper 4.056 6.051 Banking Stocks 2.060 Banking Stocks (-----+----) -7.0 -3.5 0.0 3.5
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