A researcher wants to investigate different weigh loss options in rats. He divides 24 rats (equal weights) into 3 groups: Control (do not receive any physical exercise), Exercise (receive 6 weeks of physical exercise), and Pill(take diet pill for 6 weeks). He then measures their weight in grams after the 6 week period.  What is your conclusion?   Question 21 options:   There is no evidence to suggest a difference in weights between the three groups.   The exercise group weighed less than the pill group. No other significant differences.   The exercise group weighed less than the pill group and the control group. No other other significant differences.    The exercise group weighed the least, followed by the pill group and the control group weighed the most.

MATLAB: An Introduction with Applications
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A researcher wants to investigate different weigh loss options in rats. He divides 24 rats (equal weights) into 3 groups: Control (do not receive any physical exercise), Exercise (receive 6 weeks of physical exercise), and Pill(take diet pill for 6 weeks). He then measures their weight in grams after the 6 week period. 

What is your conclusion?
 

Question 21 options:

 
There is no evidence to suggest a difference in weights between the three groups.
 
The exercise group weighed less than the pill group. No other significant differences.
 
The exercise group weighed less than the pill group and the control group. No other other significant differences. 
 
The exercise group weighed the least, followed by the pill group and the control group weighed the most. 
Weight
Control
Exercised
Pill
Total
Weight
N
Between Groups
Within Groups
Total
Mean
8
419.187
8 322.875
8 373.113
24 371.725
Sum of
Squares
37127.492
751.492
37878.985
Std. Deviation Std. Error
6.1578
2.1771
6.0422
2.1362
5.7385
2.0288
40.5822
8.2838
ANOVA
df
2
Descriptives
21
23
Mean Square
18563.746
35.785
95% Confidence Interval for
Mean
Lower Bound Upper Bound
424.336
327.926
377.910
388.861
414.039
317.824
368.315
354.589
F
518.753
Sig.
.000
Minimum Maximum
408.8
428.6
312.4
330.4
364.6
382.5
312.4
428.6
Transcribed Image Text:Weight Control Exercised Pill Total Weight N Between Groups Within Groups Total Mean 8 419.187 8 322.875 8 373.113 24 371.725 Sum of Squares 37127.492 751.492 37878.985 Std. Deviation Std. Error 6.1578 2.1771 6.0422 2.1362 5.7385 2.0288 40.5822 8.2838 ANOVA df 2 Descriptives 21 23 Mean Square 18563.746 35.785 95% Confidence Interval for Mean Lower Bound Upper Bound 424.336 327.926 377.910 388.861 414.039 317.824 368.315 354.589 F 518.753 Sig. .000 Minimum Maximum 408.8 428.6 312.4 330.4 364.6 382.5 312.4 428.6
Dependent Variable: Weight
Tukey HSD
(1) Group
Control
Std. Error
2.9910
Pill
2.9910
Control
2.9910
Pill
2.9910
Control
2.9910
Exercised
2.9910
*. The mean difference is significant at the 0.05 level.
Exercised
Pill
Multiple Comparisons
(J) Group
Exercised
Mean
Difference (1-
J)
96.3125
46.0750
-96.3125
-50.2375*
-46.0750
50.2375*
Sig.
.000
.000
.000
.000
.000
.000
95% Confidence Interval
Lower Bound
88.773
38.536
-103.852
-57.777
-53.614
42.698
Upper Bound
103.852
53.614
-88.773
-42.698
-38.536
57.777
Transcribed Image Text:Dependent Variable: Weight Tukey HSD (1) Group Control Std. Error 2.9910 Pill 2.9910 Control 2.9910 Pill 2.9910 Control 2.9910 Exercised 2.9910 *. The mean difference is significant at the 0.05 level. Exercised Pill Multiple Comparisons (J) Group Exercised Mean Difference (1- J) 96.3125 46.0750 -96.3125 -50.2375* -46.0750 50.2375* Sig. .000 .000 .000 .000 .000 .000 95% Confidence Interval Lower Bound 88.773 38.536 -103.852 -57.777 -53.614 42.698 Upper Bound 103.852 53.614 -88.773 -42.698 -38.536 57.777
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