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This exercise is a "what if analysis" designed to determine what happens to the test statistics and interval estimates when elements of the statistical inference change. This can be solved manually or on Excel with Test statistics or Estimators workbook.

Random samples from two normal populations produced the following statistics:

S2 over1 = 350 n1 = 30 S2 over 2 = 700 n2 = 30

a) Can we infer at the 5% significance level that the two population variances differ?

b) Repeat part a changing the sample sizes to n1 = 15 and n2 = 15.

c) Describe what happens to the test statistic when the sample sizes decrease.

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Neat, step-by-step solution are provided. Solutions in Excel are also provided.

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(a) p- value = 0.06688 > 0.05. Therefore we fail to reject H0.

There is no sufficient evidence to infer that ...

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