In: Advanced Math
Use SPSS .....
A pool of participants was randomly divided into four treatment groups. The groups were administered daily doses of vitamin C over a 12-month period. The data in the table represents severity of cold and flu viruses reported as a function of virus concentration in the blood. In other words, the higher the concentration of virus, the more severe the symptoms.Assume the sample sizes are large and that the instrumentation to measure virus activity, used an appropriate measurement. Determine if differing doses of vitamin C affects the severity of viral infections. If there are any differences, where are they? Type your interpretation in a text box on the results page. 25 pts.
0mg250mg500mg1000mg
6334
5431
3540
2423
6322
ANSWER :
The given information is
SPSS used to compare the 4 groups.
Ho: µ1= µ2= µ3= µ4
H1: At least one of the mean is different from the others
SPSS command
ONEWAY Severity BY Group
/STATISTICS DESCRIPTIVES
/MISSING ANALYSIS
/POSTHOC=TUKEY ALPHA(0.05).
SPSS output:
Descriptives |
||||||||
Severity |
||||||||
N |
Mean |
Std. Deviation |
Std. Error |
95% Confidence Interval for Mean |
Minimum |
Maximum |
||
Lower Bound |
Upper Bound |
|||||||
0mg |
5 |
4.4000 |
1.81659 |
0.81240 |
2.1444 |
6.6556 |
2.00 |
6.00 |
250mg |
5 |
3.8000 |
0.83666 |
0.37417 |
2.7611 |
4.8389 |
3.00 |
5.00 |
500mg |
5 |
2.8000 |
0.83666 |
0.37417 |
1.7611 |
3.8389 |
2.00 |
4.00 |
1000mg |
5 |
2.0000 |
1.58114 |
0.70711 |
0.0368 |
3.9632 |
0.00 |
4.00 |
Total |
20 |
3.2500 |
1.55174 |
0.34698 |
2.5238 |
3.9762 |
0.00 |
6.00 |
ANOVA |
|||||
Severity |
|||||
Sum of Squares |
df |
Mean Square |
F |
Sig. |
|
Between Groups |
16.950 |
3 |
5.650 |
3.139 |
0.055 |
Within Groups |
28.800 |
16 |
1.800 |
||
Total |
45.750 |
19 |
Calculated F=3.139, P=0.055 which is > 0.05 level of significance.
The null hypothesis is not rejected.
The data indicate there is no significant difference among the four group means.