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A study found that the variance in the number of vehicles owned or leased by subscribers...

A study found that the variance in the number of vehicles owned or leased by subscribers to a magazine is .094. Assume a sample of 12 subscribers to another magazine provided the following data on the number of vehicles owned or leased: 1,1,1,0,3,2,1,1,2,1,0, and 1

a) Compute the sample variance in the number of vehicles owned or leased by the  subscribers (to 4 decimals).

b)Test the hypothesis   to determine whether the variance in the number of vehicles owned or leased by subscribers of the other magazine differs from .

Calculate the value of the test statistic (to 3 decimals).

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Answer #1

a) The sample mean is

The sample variance is

b)The hypotheses are

We have the distribution of sample variance is such that . Here

The sample test statistic is

The critical values are ()

Since the test statistic is greater than critical value , we reject the null hypothesis.

We are 99% confident that the variance is different from .094.

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