The flow of water through soil depends on the porosity of the soli which is assumed...

The flow of water through soil depends on the porosity of the soli which is assumed to be normally distributed. To compare two types of sandy soil n1=16 measurements are to be taken on the porosity of soil A and n2=21 measurements are to be taken on soil B Assume that the two sample variances S12= 0.01, S22= 0.02.

(a) construct a 95% confidence interval for ratio of variances (variance2/variance1). Is there any evidence that two population variances are qual.

(b) Find the probability that the difference between the sample means will be within 0.005 units of the difference between the population means. Use the result in (a) to decide whether a pooled variance should be used.

(c)If \overline{X} - \overline{Y}=0.03 . Construct 95% confidence interval for difference of population means. Use the results in (a) to decide whether a polled variance should be used.

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orchestra answered 1 year ago

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