In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.2 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and H₂? A. D. Ho:μ ≥37 Ha:μ<37 Ho: μ = 37 Ha: μ#37 Find the test statistic. B. O E. Ho: μ = 37 Ha: μ<37 Ho: μ#37 Ha: μ = 37 t= (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. р (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject Ho. Choose the correct answer below. Ho: μ>37 C. Ha: μ≤37 O F. Ho: μ = 37 Ha: μ>37
In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.2 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and H₂? A. D. Ho:μ ≥37 Ha:μ<37 Ho: μ = 37 Ha: μ#37 Find the test statistic. B. O E. Ho: μ = 37 Ha: μ<37 Ho: μ#37 Ha: μ = 37 t= (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. р (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject Ho. Choose the correct answer below. Ho: μ>37 C. Ha: μ≤37 O F. Ho: μ = 37 Ha: μ>37
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
T and p value please
![Below is the educational website formatting for the given content:
---
### Hypothesis Testing: Finding the Test Statistic and P-Value
#### Task:
Find the test statistic and p-value from your data.
1. **Calculate the Test Statistic (t):**
- **Input:** Type an integer or decimal rounded to two decimal places as needed.
- **Field:** `t = [____]`
2. **Calculate the P-Value (p):**
- **Input:** Type an integer or decimal rounded to three decimal places as needed.
- **Field:** `p = [____]`
#### Decision:
Determine whether to reject or not reject the null hypothesis (H₀). Choose the correct option:
- **Option A:**
- **Action:** Reject H₀.
- **Reasoning:** The population mean is definitely not 37 inches based on the data at a significance level of 0.05.
- **Option B:**
- **Action:** Reject H₀.
- **Reasoning:** There is reason to believe that 37 inches is not the population mean at a significance level of 0.05.
- **Option C:**
- **Action:** Do not reject H₀.
- **Reasoning:** There is no reason to believe that 37 inches is not the population mean at a significance level of 0.05.
- **Option D:**
- **Action:** Do not reject H₀.
- **Reasoning:** The population mean is definitely 37 inches based on the data at a significance level of 0.05.
---
Make sure to complete your calculations to determine which option to select based on your data analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24cab7c0-6f2e-4f27-9ff2-6438353b4e66%2Fa23838dd-9754-4354-a917-dd87c8132c4a%2F73ba6bt_processed.png&w=3840&q=75)
Transcribed Image Text:Below is the educational website formatting for the given content:
---
### Hypothesis Testing: Finding the Test Statistic and P-Value
#### Task:
Find the test statistic and p-value from your data.
1. **Calculate the Test Statistic (t):**
- **Input:** Type an integer or decimal rounded to two decimal places as needed.
- **Field:** `t = [____]`
2. **Calculate the P-Value (p):**
- **Input:** Type an integer or decimal rounded to three decimal places as needed.
- **Field:** `p = [____]`
#### Decision:
Determine whether to reject or not reject the null hypothesis (H₀). Choose the correct option:
- **Option A:**
- **Action:** Reject H₀.
- **Reasoning:** The population mean is definitely not 37 inches based on the data at a significance level of 0.05.
- **Option B:**
- **Action:** Reject H₀.
- **Reasoning:** There is reason to believe that 37 inches is not the population mean at a significance level of 0.05.
- **Option C:**
- **Action:** Do not reject H₀.
- **Reasoning:** There is no reason to believe that 37 inches is not the population mean at a significance level of 0.05.
- **Option D:**
- **Action:** Do not reject H₀.
- **Reasoning:** The population mean is definitely 37 inches based on the data at a significance level of 0.05.
---
Make sure to complete your calculations to determine which option to select based on your data analysis.
![In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.2 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below.
---
**a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05.**
Which of the following correctly states \( H_0 \) and \( H_a \)?
- A. \( H_0: \mu \geq 37 \)
\( H_a: \mu < 37 \)
- B. \( H_0: \mu = 37 \)
\( H_a: \mu < 37 \)
- C. \( H_0: \mu > 37 \)
\( H_a: \mu \leq 37 \)
- D. \( H_0: \mu = 37 \)
\( H_a: \mu \ne 37 \)
- E. \( H_0: \mu \ne 37 \)
\( H_a: \mu = 37 \)
- F. \( H_0: \mu = 37 \)
\( H_a: \mu > 37 \)
*(Option D is selected)*
**Find the test statistic.**
\( t = \) [ ]
(Type an integer or decimal rounded to two decimal places as needed.)
**Find the p-value.**
\( p = \) [ ]
(Type an integer or decimal rounded to three decimal places as needed.)
**Reject or do not reject \( H_0 \). Choose the correct answer below.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24cab7c0-6f2e-4f27-9ff2-6438353b4e66%2Fa23838dd-9754-4354-a917-dd87c8132c4a%2Fj3w2ys_processed.png&w=3840&q=75)
Transcribed Image Text:In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.2 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below.
---
**a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05.**
Which of the following correctly states \( H_0 \) and \( H_a \)?
- A. \( H_0: \mu \geq 37 \)
\( H_a: \mu < 37 \)
- B. \( H_0: \mu = 37 \)
\( H_a: \mu < 37 \)
- C. \( H_0: \mu > 37 \)
\( H_a: \mu \leq 37 \)
- D. \( H_0: \mu = 37 \)
\( H_a: \mu \ne 37 \)
- E. \( H_0: \mu \ne 37 \)
\( H_a: \mu = 37 \)
- F. \( H_0: \mu = 37 \)
\( H_a: \mu > 37 \)
*(Option D is selected)*
**Find the test statistic.**
\( t = \) [ ]
(Type an integer or decimal rounded to two decimal places as needed.)
**Find the p-value.**
\( p = \) [ ]
(Type an integer or decimal rounded to three decimal places as needed.)
**Reject or do not reject \( H_0 \). Choose the correct answer below.**
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