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
icon
Related questions
Question

Please help. State the hypothesis and identify the critical and z-values.

### 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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman