Question

The director of research and development is testing a new drug. She wants to know if...

The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 318 minutes. For a sample of 44 patients, the mean time the drug stayed in the system was 323 minutes. Assume the population standard deviation is 18. Find the P-value of the test statistic.

Homework Answers

Answer #1

Null hypothesis  

       
          
Alternative hypothesis

       
          
We have given,          
Population mean for given example =318  
Sample mean=323  
Population standard deviation =   18  
Sample size for given example =   44  
Level of significance =0.05  
Z test statistic formula

          
          
  
P value = 0.0327............................by using 1-NORMSDIST(1.843) in Excel.   

P value is 0.0327 < 0.05

Therefore, we reject H0.

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