A program was developed to improve nutrition among low-income residents in New York City. This program was evaluated by comparing NYC residents who were randomly assigned to the intervention group vs. residents assigned to the control group. The intervention was a 1-hour session with a nutritionist. One of the outcomes was the score on a dietary knowledge test administered 1 month after the program. The test had 6 multiple choice items that were scored as incorrect (0 points) or correct (1 point) each, with a total score ranging from 0 to 6.
The results from the test are as follows:
|
Group
|
Sample size
|
Mean
|
Standard deviation
|
|
Intervention
|
165
|
5.08
|
1.15
|
|
Control
|
212
|
4.33
|
1.16
|
a. Based on the data above, do you think these data are normally distributed? Why or why not?