he time taken to complete a particular task is normally distributed with a standard deviation of 15 minutes. A random sample of 8 people is selected and they complete the task in the following times (in minutes):  83 95 123 92 76 92 55 95 We use a 5% level of significance to test the claim that the mean time for completion of the task is 1 hour and 20 minutes.

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The time taken to complete a particular task is normally distributed with a standard deviation of 15 minutes. A random sample of 8 people is selected and they complete the task in the following times (in minutes): 

83 95 123 92 76 92 55 95

We use a 5% level of significance to test the claim that the mean time for completion of the task is 1 hour and 20 minutes.

  1. The null and alternate hypotheses are : 
  2. Which one from here is the value of the test statistic :

    z = -1.67 
    t = -1.67
    z = 1.67
    t = 1.67
     

     

  3. The p-value is  

     

    p-value > 0.05  or  p-value < 0.05

    Based on this evidence, what is the best conclusion 

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