The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more. A company that is running a career fair decides to take a random sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127. Do the data provide statistically significant evidence at the α = 0.05 level that the average teaching salary in the metro Atlanta area is greater than the state average? Type I error: The company convincing evidence that the metro Atlanta area has the state average, when in reality the average teaching salaries are the same. Consequence: People who are applying for teaching jobs and do not live in the metro Atlanta area may choose because they will get paid . The move will likely in the end.
The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more. A company that is running a career fair decides to take a random sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127. Do the data provide statistically significant evidence at the α = 0.05 level that the average teaching salary in the metro Atlanta area is greater than the state average? Type I error: The company convincing evidence that the metro Atlanta area has the state average, when in reality the average teaching salaries are the same. Consequence: People who are applying for teaching jobs and do not live in the metro Atlanta area may choose because they will get paid . The move will likely in the end.
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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Question
The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more. A company that is running a career fair decides to take a random sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127. Do the data provide statistically significant evidence at the α = 0.05 level that the average teaching salary in the metro Atlanta area is greater than the state average?
- Type I error:
The company convincing evidence that the metro Atlanta area has the state average, when in reality the average teaching salaries are the same.
- Consequence:
People who are applying for teaching jobs and do not live in the metro Atlanta area may choose because they will get paid . The move will likely in the end.
![The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more. A company that is running a career fair decides to take a random sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127. Do the data provide statistically significant evidence at the α = 0.05 level that the average teaching salary in the metro Atlanta area is greater than the state average?
- **Type I error:**
The company [incorrectly finds] convincing evidence that the metro Atlanta area has [a higher average salary than] the state average, when in reality the average teaching salaries are the same.
- **Consequence:**
People who are applying for teaching jobs and do not live in the metro Atlanta area may choose [to move there] because they will get paid [more]. The move will likely [not be beneficial] in the end.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c6d136e-2074-4849-9b3d-0df6994baeb8%2F84e678e3-0e57-4a63-850e-aab886692879%2F38qzihv_processed.png&w=3840&q=75)
Transcribed Image Text:The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more. A company that is running a career fair decides to take a random sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127. Do the data provide statistically significant evidence at the α = 0.05 level that the average teaching salary in the metro Atlanta area is greater than the state average?
- **Type I error:**
The company [incorrectly finds] convincing evidence that the metro Atlanta area has [a higher average salary than] the state average, when in reality the average teaching salaries are the same.
- **Consequence:**
People who are applying for teaching jobs and do not live in the metro Atlanta area may choose [to move there] because they will get paid [more]. The move will likely [not be beneficial] in the end.
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