In: Statistics and Probability
sample of n = 17 produces a sample variance of 101.
At the 10% level, can you conclude population variance = 97?
1. |
Yes |
|
2. |
No |
Here we have to test that
n = 17, ,
Test statistic:
(Round to 2 decimal)
Test statistic = 16.66
Level of significance = alpha = 10% = 0.1
Test is two tailed test.
Critical value for alpha/2 = 0.1/2 = 0.05 and degrees of freedom = n - 1 = 17 - 1 = 16 is
Critical value = 26.30 (From table of chi square values)
Here Test statistic = 16.66 < critical value = 26.30
So we do not reject H0.
Conclusion: At 10% level we can conclude that Population variance is 97