statistics problem 9 please show all work and graphs as need
statistics problem 9.) please show all work and graphs as needed.
10
| 10 | |
| 11 | |
| 10.5 | |
| 11 | |
| 10 | |
| 12 | |
| 13 | |
| 10 | |
| 10 | |
| 10.5 | |
| 11.5 | |
| 14 | |
| 10 | |
| 9 | |
| 9.5 | |
| 10 | |
| 10 | |
| 10.5 | |
| 11 | |
| 11.5 | |
| 9 | |
| 13 | |
| 10 | |
| 10.5 | |
| 9 | |
| 13 | |
| 10 | |
| 10.5 | |
| 11 | |
| 10 | |
Solution
Getting the sample standard deviation,
s = As              
               
 df = n - 1 =    29          
 alpha = (1 - confidence level)/2 =    0.025          
               
 Then the critical values for chi^2 are              
               
 chi^2(alpha/2) =    45.7222858          
 chi^2(alpha/2) =    16.0470717          
               
 Thus, as              
               
 lower bound = (n - 1) s^2 / chi^2(alpha/2) =    0.990764114          
 upper bound = (n - 1) s^2 / chi^2(1 - alpha/2) =    2.822944948          
               
 Thus, the confidence interval for the variance is              
               
 (   0.990764114   ,   2.822944948   ) [ANSWER]


