Answer:
135 to 143 minutes.
Step-by-step explanation:
Standard deviation (s) = 22.6 minutes
Sample size (n) = 123
Sample average (X) = 139 minutes
The lower and upper bounds of a confidence interval are given by:
Lower bound:
![L= X-z*\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=L%3D%20X-z%2A%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
Upper bound:
![U= X+z*\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=U%3D%20X%2Bz%2A%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
For a confidence interval of 95%, the z-score value is 1.96.
Therefore, the 95% confidence interval for the mean surgery time is:
Lower bound:
![L= 139-1.96*\frac{22.6}{\sqrt{123}}\\L=135](https://tex.z-dn.net/?f=L%3D%20139-1.96%2A%5Cfrac%7B22.6%7D%7B%5Csqrt%7B123%7D%7D%5C%5CL%3D135)
Upper bound:
![U= 139+1.96*\frac{22.6}{\sqrt{123}}\\U=143](https://tex.z-dn.net/?f=U%3D%20139%2B1.96%2A%5Cfrac%7B22.6%7D%7B%5Csqrt%7B123%7D%7D%5C%5CU%3D143)
The 95% confidence interval is 135 to 143 minutes.
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Answer:
90
Step-by-step explanation:
5 x -9 x -2
5 x 18
90