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A local newspaper reported that the average amount of time that a French person spends eating lunch at a restaurant is 22 minutes. It is

A local newspaper reported that the average amount of time that a French person spends eating lunch at a restaurant is 22 minutes. It is claimed that on average American spends less time eating lunch when compared to persons from French. Conduct a hypothesis test to prove the claim. The following table list data representing the time, measured in minutes, that random selected French and American people spent at lunch. Assume that the populations' variances are not equal, and set population 1 to be the lunch time of American people.

AmericanFrench

2124

1718

1720

2028

1818

1629

1917

16

After conducting the hypothesis test, assuming that the significance level is given to be a=0.05, we can conclude that:

  1. Because the p-value is smaller than the significance level of 0.05, we reject the null hypothesis and conclude that all French persons spend more time than Americans eating lunch.
  2. Because the p-value is larger than the significance level of 0.05, we reject the null hypothesis and conclude that on average French persons spend more time than Americans eating lunch.
  3. Because the p-value is larger than the significance level of 0.05, we fail to reject the null hypothesis and conclude that on average French persons spend less time than Americans eating lunch.
  4. Because the p-value is smaller than the significance level of 0.05, we reject the null hypothesis and conclude that on average French persons spend more time than Americans eating lunch.

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