Answer to Question #212655 in Statistics and Probability for mumine yarar

Question #212655

The distance a basketball player runs during a game is one of the many variables used for assessing the performance of the players. 79 players are followed for a game each and the average distance ran by them is found to be 3457 meters (m) with a standard deviation of 147 m. Then the lower limit for the 95% confidence interval for the true mean is 


1
Expert's answer
2021-07-16T08:35:04-0400

The critical value for α=0.05\alpha=0.05 and df=n1=791=78df=n-1=79-1=78  degrees of freedom is tc=z1α/2,n1=1.990847.t_c=z_{1-\alpha/2, n-1}=1.990847.  

The corresponding confidence interval is computed as shown below:


CI=(xˉtc×sn,xˉ+tc×sn)CI=(\bar{x}-t_c\times\dfrac{s}{\sqrt{n}}, \bar{x}+t_c\times\dfrac{s}{\sqrt{n}})

=(34571.990847×14779,3457+1.990847×14779)=(3457-1.990847\times\dfrac{147}{\sqrt{79}}, 3457+1.990847\times\dfrac{147}{\sqrt{79}})

=(3424.074,3489.926)=(3424.074, 3489.926)

The lower limit for the 95% confidence interval for the true mean is 3424.074 m.




Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog