Question

In: Statistics and Probability

A random sample of 18 college​ men's basketball games during the last season had an average...

A random sample of 18 college​ men's basketball games during the last season had an average attendance of 5,059 with a sample standard deviation of 1,774

a. Construct an 80​% confidence interval to estimate the average attendance of a college​ men's basketball game during the last season.

The 80​% confidence interval to estimate the average attendance of a college​ men's basketball game during the last season is from a lower limit of_______

to an upper limit of _______​(Round to the nearest whole​ numbers.)

Solutions

Expert Solution

We have given that,          
          
Sample mean =5059  
Sample standard deviation =1774
Sample size =18  
Level of significance=1-0.80=0.2  
Degree of freedom =17  
          
t critical value is (by using t table)=   1.3334  
          
Confidence interval formula is   


=(4501.47,5616.53)      
          
          
          
Lower confidence limit=   4502  
          
Upper confidence limit=   5617  
The 80​% confidence interval to estimate the average attendance of a college​ men's
basketball game during the last season is from a lower limit of 4502 to an upper limit of 5617


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