We asked UST employees to tell us how many megabytes of memory (RAM) they have on their computer.  We would like to test to see if the mean amount of memory is the same for three different academic departments.  We have the memory amounts for six faculty members' machines in the three departments shown below.                                         Dept. 1       Dept. 2    Dept. 3                               1           2048          4096       4096                               2           1024          2048       4096                               3           1024          2048       8192      computer   4           2048          4096       8192                               5           1024          2048       4096                               6            2048          8192       2048    Here is the ANOVA table: Source DF Adj SS Adj MS F-Value P-Value Factor x 39263346 19631673 x.xx 0.025 Error xx 61691221 4112748     Total xx 100954567   After ANOVA, assume that we want to do all of the pairwise comparisons between the means and construct confidence interval estimates for the size of the difference between means.  Tukey Pairwise Comparisons: Grouping Information Using the Tukey Method and 95% Confidence Factor N Mean Grouping dept 3 6 5120 A   dept 2 6 3755 A B dept 1 6 1536   B Means that do not share a letter are significantly different. Construct a 95% confidence interval estimate for the difference between the mean for department 1 and the mean for department 2.  Start by subtracting x bar 1 from x bar 2 to get a positive difference.  You may use a t* multiplier of 2.13.  Choose the interval here that matches most closely the interval you constructed.   Answers: 1. 1990 to 5519 2. -820 to 5257 3. 546 to 6622 4. -1673 to 4404

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We asked UST employees to tell us how many megabytes of memory (RAM) they have on their computer.  We would like to test to see if the mean amount of memory is the same for three different academic departments.  We have the memory amounts for six faculty members' machines in the three departments shown below.

                                        Dept. 1       Dept. 2    Dept. 3

                              1           2048          4096       4096

                              2           1024          2048       4096

                              3           1024          2048       8192

     computer   4           2048          4096       8192

                              5           1024          2048       4096

                              6            2048          8192       2048   

Here is the ANOVA table:

Source

DF

Adj SS

Adj MS

F-Value

P-Value

Factor

x

39263346

19631673

x.xx

0.025

Error

xx

61691221

4112748

 

 

Total

xx

100954567

 

After ANOVA, assume that we want to do all of the pairwise comparisons between the means and construct confidence interval estimates for the size of the difference between means. 

Tukey Pairwise Comparisons: Grouping Information Using the Tukey Method and 95% Confidence

Factor

N

Mean

Grouping

dept 3

6

5120

A

 

dept 2

6

3755

A

B

dept 1

6

1536

 

B

Means that do not share a letter are significantly different.

Construct a 95% confidence interval estimate for the difference between the mean for department 1 and the mean for department 2.  Start by subtracting x bar 1 from x bar 2 to get a positive difference.  You may use a t* multiplier of 2.13.  Choose the interval here that matches most closely the interval you constructed.  

Answers:

1. 1990 to 5519

2. -820 to 5257

3. 546 to 6622

4. -1673 to 4404

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