In: Statistics and Probability
Hip surgery: In a sample of
120
hip surgeries of a certain type, the average surgery time was
136.3
minutes, with a standard deviation of
22.3
minutes.
Part: 0 / 2
0 of 2 Parts Complete
Part 1 of 2
Construct a 95% confidence interval for the mean surgery time for this procedure. Round the answers to one decimal place. A95% confidence interval for the mean surgery time for this procedure is |
Solution:
Given:Mean,=136.3
Standard deviation, s=22.3
Sample size,n=120
Level of significance,=1-0.05=0.05
Degree of freedom,df=n=120
For df=120 and =0.05, the value to t/2=t0.05/2=0.025=1.98
Formula to find 95% confidence interval for the mean surgery time for this procedure is given by t/2*
=136.31.98*(22.3/120)
=136.34
=132.3 and 140.3
Therefore 95% confidence interval for the mean surgery time for this procedure is in between 132.3 and 140.3.