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A medical researcher wants to determine if the average hospital stay after a certain procedure is...

A medical researcher wants to determine if the average hospital stay after a certain procedure is less than 14.97 days. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 14.97, Alternative Hypothesis: μ < 14.97. If the researcher randomly samples 20 patients that underwent the procedure and determines their average hospital stay was 15.74 days with a standard deviation of 7.811 days, what is the test statistic and p-value of this test?

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Answer #1

We have for given sample,                      
Population mean for given sample=14.97      
Sample mean=15.74              
Sample standard deviation= s=   7.811          
Sample size =n=   20

t test statistic formula is                      
エー
  15.74 – 14.97 7.811 20
=0.441              

P value = 0.3321..................by using Excel =TDIST(0.441,19,1)
              
                      
          
                      
                      
                      

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