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Please help with the following statistics question: An economist wants to randomly collect the US monthly unemployment rate. She collected 11 samples from 2020. The

Please help with the following statistics question:

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An economist wants to randomly collect the US monthly unemployment rate. She collected 11 samples from 2020. The average monthly unemployment rate of the 2020 samples was 8.5, with a standard deviation of 3.5. She also collected 3 samples from 2021, which were 6.3 for Jan, 6.2 for Feb, and 6 for Mar. (a) Test whether the population variances of monthly unemployment rate are significantly higher in 2020 than in 2021 at 5% level. Please write down (1) the value of test statistics, (2) critical values and (3) make conclusion based on rejection region. (b) Test whether the population standard deviation of monthly unemployment rate in 2020 is different from 3 at 5% level. Please write down (1) the value of test statistics, (2) critical values and (3) make conclusion based on rejection region

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