A certain pain-reliever is supposed to deliver 70 minutes of pain relief when given to a 150-160 lbs patient. A doctor claims that the medicine provides the average relief time that is greater than 70 minutes per take. A simple random sample of 26 patients shows the following relief times: 77.8 60.8 67.8 71.7 71.1 75.2 68.4 57.9 76.6 75.9 86.1 73.9 66.5 65.1 74.3 69.7 80.7 69.3 70.1 65.9 73.7 71.3 64.9 70.5 61.8 80.1         At the 5% significance level, test the doctor's claim assuming that the population standard deviation of pain-relieving times is 6 minutes. You may also assume that the sample is from a normal population. (Note: The average and the standard deviation of the data are respectively 71.04 minutes and 6.49 minutes.) Procedure:       Assumptions: (select everything that applies) Population standard deviation is unknown Population standard deviation is known Sample size is greater than 30 Simple random sample The number of positive and negative responses are both greater than 10 Normal population

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A certain pain-reliever is supposed to deliver 70 minutes of pain relief when given to a 150-160 lbs patient. A doctor claims that the medicine provides the average relief time that is greater than 70 minutes per take. A simple random sample of 26 patients shows the following relief times:
77.8 60.8 67.8 71.7 71.1
75.2 68.4 57.9 76.6 75.9
86.1 73.9 66.5 65.1 74.3
69.7 80.7 69.3 70.1 65.9
73.7 71.3 64.9 70.5 61.8
80.1        
At the 5% significance level, test the doctor's claim assuming that the population standard deviation of pain-relieving times is 6 minutes. You may also assume that the sample is from a normal population. (Note: The average and the standard deviation of the data are respectively 71.04 minutes and 6.49 minutes.)

Procedure:      

Assumptions: (select everything that applies)

  • Population standard deviation is unknown
  • Population standard deviation is known
  • Sample size is greater than 30
  • Simple random sample
  • The number of positive and negative responses are both greater than 10
  • Normal population
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