Question

In: Statistics and Probability

sample of n = 17 produces a sample variance of 101. At the 10% level, can...

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

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

1.

Yes

2.

No

Solutions

Expert Solution

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


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