In: Statistics and Probability
A criminologist conducts a survey of residents concerning their sense of safety when walking alone in their neighborhoods. She uses a 7-point scale from 1 = very unsafe to 7 = very safe. Using the chart below, answer the following questions. For A and B, you may want to consult the previous assignment.
| 
 Perceptions of Safety  | 
 f  | 
| 
 1  | 
 28  | 
| 
 2  | 
 34  | 
| 
 3  | 
 42  | 
| 
 4  | 
 56  | 
| 
 5  | 
 46  | 
| 
 6  | 
 24  | 
| 
 7  | 
 20  | 
| 
 Total  | 
 N = 250  | 
1.) Construct a 99% confidence interval and interpret it (note: this would involve you writing a sentence explaining what the two values tell you). (0.5 point).
Given:
A criminologist conducts a survey of residents concerning their sense of safety when walking alone in their neighborhoods.
She uses a 7-point scale from 1 = very unsafe to 7 = very safe.
| xi | fi | fi × xi | fixi2 | 
| 1 | 28 | 28 | 28 | 
| 2 | 34 | 68 | 136 | 
| 3 | 42 | 126 | 378 | 
| 4 | 56 | 224 | 896 | 
| 5 | 46 | 230 | 1150 | 
| 6 | 24 | 144 | 864 | 
| 7 | 20 | 140 | 980 | 
| N = 250 |  fixi
= 960 | 
   fixi2
= 4432 | 

Therefore when the n sample of sample size is a drawn from normally distributed population then there is 99% chance that true population parameter will fall within (3.5587, 4.1213)