Question

sample of n = 17 produces a sample variance of 101.

At the 10% level, can you conclude population variance = 97?

	1.	Yes
	2.	No

Answer 1

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