1use alpha001 and determine the chi-square value and come

Question

1.Use α=0.01, and Determine the Chi-Square value, and come to the appropriate conclusion concerning this goodness of fit procedure.

*From the Table of Random Numbers...all have a probability of 1/10 "numbers from 0-9"    

            Observed                  Expected

0                      5                                  10

1                      15                               10

2                      10                               10

3                      8                                  10

4                      12                               10

5                      15                               10

6                      5                                  10

7                      10                               10

8                      10                               10

9                      10                               10

                        100                             100

2. Construct a confidence interval for σ² using the following values of the variable, X. You may assume that the variable itself is normally distributed.

X

30

32

28

25

31

34

30

20

40

A. let alpha be 0.01, and construct the confidence interval.

B. Now let alpha be 0.10, and again construct the confidence interval.

C. Why did we have to assume that the variable itself was normally distributed?