A lumber mill is tested for consistency by measuring the var

A lumber mill is tested for consistency by measuring the variance of board thickness. The target accuracy is a variance of 0.0035 square inches or less. If 24 measurements are made and their variance is 0.006 square inches, is there enough evidence to reject the claim that the standard deviation is within the limit at = .01?

A) No, since the 2 test value 39.43 is less than the critical value 41.638.

B) Yes, since the 2 test value 8.22 is less than the critical value 41.638.

C) No, since the 2 test value 39.43 is less than the critical value 42.980.

D) Yes, since the 2 test value 8.22 is less than the critical value 42.980.

Solution

Answer is a. No, since the ?2 test value 39.43 is less than the critical value 41.638. There is not enough evidence to reject the claim that the standard deviation is within the limit