Answer:
d
Step-by-step explanation:
Answer:
The answers is "
Option B".
Step-by-step explanation:
![CI=\hat{Y}\pm t_{Critical}\times S_{e}](https://tex.z-dn.net/?f=CI%3D%5Chat%7BY%7D%5Cpm%20t_%7BCritical%7D%5Ctimes%20S_%7Be%7D)
Where,
predicted value of lead content when traffic flow is 15.
![\to df=n-1=8-1=7](https://tex.z-dn.net/?f=%5Cto%20df%3Dn-1%3D8-1%3D7)
![95\% \ CI\ is\ (463.5, 596.3) \\\\\hat{Y}=\frac{(463.5+596.3)}{2}\\\\](https://tex.z-dn.net/?f=95%5C%25%20%5C%20CI%5C%20%20is%5C%20%20%28463.5%2C%20596.3%29%20%5C%5C%5C%5C%5Chat%7BY%7D%3D%5Cfrac%7B%28463.5%2B596.3%29%7D%7B2%7D%5C%5C%5C%5C)
Calculating thet-critical value
The lower predicted value ![=529.9-2.365(Se)](https://tex.z-dn.net/?f=%3D529.9-2.365%28Se%29)
![463.5=529.9-2.365(Se)\\\\529.9-463.5=2.365(Se)\\\\66.4=2.365(Se)\\\\Se=\frac{66.4}{2.365} \\\\Se=28.076](https://tex.z-dn.net/?f=463.5%3D529.9-2.365%28Se%29%5C%5C%5C%5C529.9-463.5%3D2.365%28Se%29%5C%5C%5C%5C66.4%3D2.365%28Se%29%5C%5C%5C%5CSe%3D%5Cfrac%7B66.4%7D%7B2.365%7D%20%5C%5C%5C%5CSe%3D28.076)
When
of CI use as the expected lead content:
![\to 529.9\pm t_{0.005,7}\times 28.076 \\\\=(529.9 \pm 3.499 \times 28.076)\\\\=(529.9 \pm 98.238)\\\\=(529.9-98.238, 529.9+98.238)\\\\=(431.662, 628.138)\\\\=(431.6, 628.1)](https://tex.z-dn.net/?f=%5Cto%20529.9%5Cpm%20t_%7B0.005%2C7%7D%5Ctimes%2028.076%20%5C%5C%5C%5C%3D%28529.9%20%5Cpm%203.499%20%5Ctimes%2028.076%29%5C%5C%5C%5C%3D%28529.9%20%5Cpm%2098.238%29%5C%5C%5C%5C%3D%28529.9-98.238%2C%20529.9%2B98.238%29%5C%5C%5C%5C%3D%28431.662%2C%20628.138%29%5C%5C%5C%5C%3D%28431.6%2C%20628.1%29)
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Answer:
D
Step-by-step explanation: