The economy faltered during the first few months of 2020.  Investors anticipated that the downturn would have a negative effect on the earnings of companies in the United States during the third quarter of 2020.  A sample of 14 American companies was surveyed to determine whether earnings indeed collapsed following the crisis.  A comparison of earnings per share showed that the average change between the third quarter of 2019 and the third quarter of 2020 was -0.22 with a standard deviation of 0.33.  (We assume that the difference in earnings is normally distributed).  Did earnings really decrease after the crisis?  Conduct a hypothesis test at a 0.05 level of significance and obtain the critical value(s).  What is your conclusion?

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The economy faltered during the first few months of 2020.  Investors anticipated that the downturn would have a negative effect on the earnings of companies in the United States during the third quarter of 2020.  A sample of 14 American companies was surveyed to determine whether earnings indeed collapsed following the crisis.  A comparison of earnings per share showed that the average change between the third quarter of 2019 and the third quarter of 2020 was -0.22 with a standard deviation of 0.33.  (We assume that the difference in earnings is normally distributed).  Did earnings really decrease after the crisis?  Conduct a hypothesis test at a 0.05 level of significance and obtain the critical value(s).  What is your conclusion?

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