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In: Statistics and Probability

Question 1. The heart rate of 20 randomly selected adults was on average 85 beats per...

Question 1. The heart rate of 20 randomly selected adults was on average 85 beats per minute (bpm) with a standard deviation of 5 bpm. Build a 95% confidence interval for the mean heart rate of adults in the population. Interpret the interval you have created

Solutions

Expert Solution

We have given that,              
              
Sample mean =85 beats per minute      
Sample standard deviation = 5 beats per minute  
Sample size =20      
Level of significance=1-0.95=0.05      
Degree of freedom =19      
              
t critical value is (by using t table)=2.093      
              
Confidence interval formula is               


=(82.66,87.34)          
              
              
Lower confidence limit=   82.66 beats per minute      
              
Upper confidence limit=   87.34 beats per minute      

We are 95% confident that population mean  heart rate of adults is between 82.66 bpm to 87.34 bpm



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