The chief of the emergency response services claims that their team responds to emergency distress calls within a 5 km radius in 360 seconds. An independent investigator wishes to test whether or not the presence of a thousand extra cars within the 5 km radius affects the emergency response time by 8.65 seconds. He randomly selects 100 distress calls and estimates the following regression: ;= 345 + 0.23X;, where ŷ, denotes the predicted response time measured in seconds for the 1th emergency call and X; denotes the number of cars (in thousands) on the road within a 5 km radius at the time of the th i emergency call. If B₁ is the slope coefficient, which of the following options states the investigator's null and alternative hypotheses? A. Ho B₁>8.65 and H₁: B₁ ≤8.65. B. Ho B₁0.23 and H₁: B₁ ≤0.23. C. Ho₁ =8.65 and H₁: B₁ # 8.65. D. Ho B₁ =0.23 and H₁: B₁ #0.23. Suppose act associated with the test the investigator wishes to conduct is 2.21. The p-value will be (Round your answer to three decimal places.) If the pre-specified significance level of the test was 5%, the calculated p-value suggests that we the null hypothesis.

The chief of the emergency response services claims that their team responds to emergency distress calls within a 5 km radius in 360 seconds. An independent investigator wishes to test whether or not the presence of a thousand extra cars within the 5 km radius affects the emergency response time by 8.65 seconds. He randomly selects 100 distress calls and estimates the following regression: ;= 345 + 0.23X;, where ŷ, denotes the predicted response time measured in seconds for the 1th emergency call and X; denotes the number of cars (in thousands) on the road within a 5 km radius at the time of the th i emergency call. If B₁ is the slope coefficient, which of the following options states the investigator's null and alternative hypotheses? A. Ho B₁>8.65 and H₁: B₁ ≤8.65. B. Ho B₁0.23 and H₁: B₁ ≤0.23. C. Ho₁ =8.65 and H₁: B₁ # 8.65. D. Ho B₁ =0.23 and H₁: B₁ #0.23. Suppose act associated with the test the investigator wishes to conduct is 2.21. The p-value will be (Round your answer to three decimal places.) If the pre-specified significance level of the test was 5%, the calculated p-value suggests that we the null hypothesis.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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