Home Runs Two mples of Hai Baseball players wer selected and of home runs hit were recorded. One sample was obtained from the National League, and the other sample was obtained from the American League. At a = 0.10, is there a difference in the means? Use the P-value method with a TI-83 Plus/TI-84 Plus calculator. olo National League American League 18 4 2 9 18 12 25 4 6 5 24 12 Send data to Excel Use μ₁ for the mean number of home runs from the National League. Assume the variables are normally distributed and the variances are unequal. Part: 0/4 Part 1 of 4 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) ▼ H₁: (Choose one) This hypothesis test is a (Choose one) test.
Home Runs Two mples of Hai Baseball players wer selected and of home runs hit were recorded. One sample was obtained from the National League, and the other sample was obtained from the American League. At a = 0.10, is there a difference in the means? Use the P-value method with a TI-83 Plus/TI-84 Plus calculator. olo National League American League 18 4 2 9 18 12 25 4 6 5 24 12 Send data to Excel Use μ₁ for the mean number of home runs from the National League. Assume the variables are normally distributed and the variances are unequal. Part: 0/4 Part 1 of 4 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) ▼ H₁: (Choose one) This hypothesis test is a (Choose one) test.
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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Please help. State the hypothesis and identify the critical and z-values.

Transcribed Image Text:### Home Runs Analysis
**Objective:**
We aim to determine if there is a significant difference in the mean number of home runs hit by players from the National League and the American League. To do this, we will use the P-value method with an alpha level (\(\alpha\)) of 0.10, and perform the analysis using a TI-83 Plus/TI-84 Plus calculator.
#### Data Samples:
- **National League:** 18, 4, 2, 9, 6, 5
- **American League:** 18, 12, 25, 4, 24, 12
You can also export the data to Excel for further analysis by clicking the "Send data to Excel" button.
#### Instructions:
Use \(\mu_1\) for the mean number of home runs from the National League. Assume the variables are normally distributed and the variances are unequal.
### Hypothesis Testing:
**Step 1: State the Hypotheses**
- **Null Hypothesis (\(H_0\)):** There is no difference in the mean number of home runs between the National League and the American League.
- **Alternative Hypothesis (\(H_1\)):** There is a difference in the mean number of home runs between the National League and the American League.
**Step 2: Identify the Correct Test**
- **Test Type:** Two-sample t-test for unequal variances (Welch’s t-test).
### Interactive Component:
1. **Question:** State the hypotheses and identify the claim with the correct hypothesis.
- **\(H_0\):** (Choose one)
- **\(H_1\):** (Choose one)
The hypothesis test is a (Choose one) test.
2. **Answer Submission:**
Complete the four parts of the hypothesis test to interpret the results.
**Part 0 / 4**: You will start with a score of 0 and progress as you correctly identify and input the required information. Each part will guide you through the process systematically, ensuring a thorough understanding of the hypothesis testing involved.
This interactive approach helps you practice and understand the application of hypothesis testing in real-world scenarios, specifically in comparing means from two different samples with potentially unequal variances.
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