The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 14 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 196 flights per hour. 175 207 219 198 203 178 181 209 201 210 174 192 202 214 185 177 189 189 184 200 222 193 175 206 224 201 211 192 188 181 Click here for the Excel Data File (a) Set up a right-tailed decision rule at a = .025 to decide whether there has been a significant increase in the mean number of arrivals per hour. Choose the appropriate hypothesis. a. H₁: > 195, reject H₁ if z < 1.960 b. H₁: μ< 195, reject H₁ if z> 1.960 c. He: z 195, reject He if z < 1.960 d. He: us195, reject He if z > 1.960 Oa Ob с Od (b-1) Calculate the test statistic. (Round your answer to 2 decimal places.)
The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 14 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 196 flights per hour. 175 207 219 198 203 178 181 209 201 210 174 192 202 214 185 177 189 189 184 200 222 193 175 206 224 201 211 192 188 181 Click here for the Excel Data File (a) Set up a right-tailed decision rule at a = .025 to decide whether there has been a significant increase in the mean number of arrivals per hour. Choose the appropriate hypothesis. a. H₁: > 195, reject H₁ if z < 1.960 b. H₁: μ< 195, reject H₁ if z> 1.960 c. He: z 195, reject He if z < 1.960 d. He: us195, reject He if z > 1.960 Oa Ob с Od (b-1) Calculate the test statistic. (Round your answer to 2 decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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calculate the test statistic.
![**Transcription for Educational Website**
**Introduction:**
The mean arrival rate of flights at O'Hare Airport in marginal weather is typically 195 flights per hour, with a historical standard deviation of 14 flights. To enhance arrivals, a new air traffic control procedure is implemented. Over the next 30 days of marginal weather, the mean arrival rate is recorded at 196 flights per hour.
**Data Observed Over 30 Days:**
```
175, 207, 219, 198, 202, 214, 185, 177, 189, 192
203, 178, 181, 209, 184, 200, 222, 193, 175
201, 210, 174, 206, 224, 201, 211, 192, 188, 181
```
**Hypothesis Testing:**
(a) **Setting Up a Right-Tailed Decision Rule:**
The task is to decide if there has been a significant increase in the mean number of arrivals per hour by using a right-tailed decision rule at α = 0.025. Choose the appropriate hypothesis:
- **a.** \( H_1: \mu > 195, \) reject \( H_1 \) if z < 1.960
- **b.** \( H_1: \mu < 195, \) reject \( H_1 \) if z > 1.960
- **c.** \( H_0: \mu \geq 195, \) reject \( H_0 \) if z < 1.960
- **d.** \( H_0: \mu \leq 195, \) reject \( H_0 \) if z > 1.960
**Correct Choice:** **d**
(b-1) **Calculate the Test Statistic:**
(Instructions: Round your answer to two decimal places.)
**[Note:** Click the link provided to access the Excel Data File for more detailed analysis.]
**Diagram Explanation:**
The image does not contain any graphs or diagrams. It primarily consists of numerical data and hypothesis testing options related to the flight arrival rate analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a44212c-b8b1-4ff0-bde6-3e570916b708%2F1e37fdaa-edce-4fb7-bcc0-0cb4111959b5%2Fwl9ubes_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
**Introduction:**
The mean arrival rate of flights at O'Hare Airport in marginal weather is typically 195 flights per hour, with a historical standard deviation of 14 flights. To enhance arrivals, a new air traffic control procedure is implemented. Over the next 30 days of marginal weather, the mean arrival rate is recorded at 196 flights per hour.
**Data Observed Over 30 Days:**
```
175, 207, 219, 198, 202, 214, 185, 177, 189, 192
203, 178, 181, 209, 184, 200, 222, 193, 175
201, 210, 174, 206, 224, 201, 211, 192, 188, 181
```
**Hypothesis Testing:**
(a) **Setting Up a Right-Tailed Decision Rule:**
The task is to decide if there has been a significant increase in the mean number of arrivals per hour by using a right-tailed decision rule at α = 0.025. Choose the appropriate hypothesis:
- **a.** \( H_1: \mu > 195, \) reject \( H_1 \) if z < 1.960
- **b.** \( H_1: \mu < 195, \) reject \( H_1 \) if z > 1.960
- **c.** \( H_0: \mu \geq 195, \) reject \( H_0 \) if z < 1.960
- **d.** \( H_0: \mu \leq 195, \) reject \( H_0 \) if z > 1.960
**Correct Choice:** **d**
(b-1) **Calculate the Test Statistic:**
(Instructions: Round your answer to two decimal places.)
**[Note:** Click the link provided to access the Excel Data File for more detailed analysis.]
**Diagram Explanation:**
The image does not contain any graphs or diagrams. It primarily consists of numerical data and hypothesis testing options related to the flight arrival rate analysis.
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