Help! **Testing Salary Differences: Tampa vs. Dallas Nurses**An article published by The Florida Tribune claimed that nurses in Tampa earn more than nurses in Dallas. As a manager at a Tampa hospital, you are interested in testing this claim at a significance level of $ \alpha = 0.05 $. You conducted a survey with a sample of 41 nurses in Tampa and 50 nurses in Dallas. Here are the findings:- The Tampa sample: - Average salary: $63,200 - Standard deviation: $5,300- The Dallas sample: - Average salary: $60,700 - Standard deviation: $4,800### Hypotheses- **Null Hypothesis (H₀):** $ \mu_{1} - \mu_{2} = 0 $ - There is no difference in the average salaries between nurses in Tampa and Dallas.- **Alternative Hypothesis (Hₐ):** $ \mu_{1} - \mu_{2} > 0 $ - Nurses in Tampa earn more than nurses in Dallas.*Note: In this setup, Sample 1 (Tampa) and Sample 2 (Dallas).*### Questions:a) **What is the test statistic?**b) **What is the p-value?**c) **State your conclusion (in the context of the problem).**### Detailed ExplanationTo test this hypothesis, we use a two-sample t-test to determine if there is a statistically significant difference between the salaries of nurses in both locations. Calculate the test statistic (a), the p-value (b), and then draw a conclusion based on these results (c). This test helps you make an informed decision about the claim made by The Florida Tribune regarding nurse salaries in Tampa and Dallas.

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The Florida Tribune published an article that claimed that nurses in Tampa earn more than nurses in Dallas. You are a manager at a Tampa hospital and want to test the claim of the Tribune. You wish to test the claim at a significance level of a=0.05. So you conduct a follow up survey of 41 nurses in Tampa and 50 nurses in Dallas. You find that the sample from Tampa showed an average salary of $63200 with a standard deviation of 5300, and the sample from Dallas showed an average salary of $60700 with a standard deviation of 4800. Our claims are: Ho: µ1 – H2 = 0 Ha: H1 – Hz > 0 (in this setup, sample 1 is the group of nurses from Tampa and sample 2 is the group of nurses from Dallas) a) What is the test statistic? b) What is the p-value? c) State your conclusion (in the context of the problem).

The Florida Tribune published an article that claimed that nurses in Tampa earn more than nurses in Dallas. You are a manager at a Tampa hospital and want to test the claim of the Tribune. You wish to test the claim at a significance level of a=0.05. So you conduct a follow up survey of 41 nurses in Tampa and 50 nurses in Dallas. You find that the sample from Tampa showed an average salary of $63200 with a standard deviation of 5300, and the sample from Dallas showed an average salary of $60700 with a standard deviation of 4800. Our claims are: Ho: µ1 – H2 = 0 Ha: H1 – Hz > 0 (in this setup, sample 1 is the group of nurses from Tampa and sample 2 is the group of nurses from Dallas) a) What is the test statistic? b) What is the p-value? c) State your conclusion (in the context of the problem).

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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Concept explainers

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

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Help!

**Testing Salary Differences: Tampa vs. Dallas Nurses**

An article published by The Florida Tribune claimed that nurses in Tampa earn more than nurses in Dallas. As a manager at a Tampa hospital, you are interested in testing this claim at a significance level of $ \alpha = 0.05 $. You conducted a survey with a sample of 41 nurses in Tampa and 50 nurses in Dallas. Here are the findings:

- The Tampa sample:
- Average salary: $63,200
- Standard deviation: $5,300

- The Dallas sample:
- Average salary: $60,700
- Standard deviation: $4,800

### Hypotheses
- **Null Hypothesis (H₀):** $ \mu_{1} - \mu_{2} = 0 $
- There is no difference in the average salaries between nurses in Tampa and Dallas.
- **Alternative Hypothesis (Hₐ):** $ \mu_{1} - \mu_{2} > 0 $
- Nurses in Tampa earn more than nurses in Dallas.

*Note: In this setup, Sample 1 (Tampa) and Sample 2 (Dallas).*

### Questions:
a) **What is the test statistic?**

b) **What is the p-value?**

c) **State your conclusion (in the context of the problem).**

### Detailed Explanation

To test this hypothesis, we use a two-sample t-test to determine if there is a statistically significant difference between the salaries of nurses in both locations. Calculate the test statistic (a), the p-value (b), and then draw a conclusion based on these results (c). This test helps you make an informed decision about the claim made by The Florida Tribune regarding nurse salaries in Tampa and Dallas.

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