A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Karen took bus 14 during peak hours on 18 different occasions. Her mean waiting time was 7.4 minutes. Assume that the standard deviation has been historically known to be 2.2 minutes. At the .05 significance level, test the claim that the mean waiting time is less than 10 minutes.     State the null hypothesis H0: _____________ State the alternative hypothesis H1: _____________ What is the test statistic used for the test (z or t) and its value (round to 2 places) State the significance or alpha (α) level Determine the p-value. (round to 4 places) Do you or do you not reject the null hypothesis? Why? Write a clear conclusion using a complete sentence.

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A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Karen took bus 14 during peak hours on 18 different occasions. Her mean waiting time was 7.4 minutes. Assume that the standard deviation has been historically known to be 2.2 minutes. At the .05 significance level, test the claim that the mean waiting time is less than 10 minutes.

 

 

  1. State the null hypothesis H0: _____________
  2. State the alternative hypothesis H1: _____________
  3. What is the test statistic used for the test (z or t) and its value (round to 2 places)
  4. State the significance or alpha (α) level
  5. Determine the p-value. (round to 4 places)
  6. Do you or do you not reject the null hypothesis? Why?
  7. Write a clear conclusion using a complete sentence.
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