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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please answer number 6 correctly.
Transcribed Image Text: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.
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