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Independent random samples of 31 people living on the west side of a city and 25 people living on the east side of a city

Independent random samples of 31 people living on the west side of a city and 25 people living on the east side of a city were taken to determine if the income levels of west side residents are greater than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are greater than the income levels of east side residents, at the 2% significance level.

  • H0:we Ha:w>e
  • t0=0.511
  • t0.02=2.104

Select the correct answer below:

  1. Yes; the test statistic is greater than the critical value.
  2. No; the test statistic is greater than the critical value.
  3. No; the test statistic is less than the critical value.
  4. Yes; the test statistic is less than the critical value.

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