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]

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
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

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