Use the information provided to answer the questions. Population Sample Size 15 13 Sample Mean 34.9 32.3 Sample Variance 4.6 5.6 A USE SALT State the null and alternative hypotheses for testing for a significant difference in means. O Ho: (u, - u2) = 0 versus H,: (4, - 42) > 0 O H,: (u, - u,) = 0 versus H: (u, - 4,) < 0 O H,: (4, - 42) = 0 versus H,: (4, - 42) # 0 O Ho: (4, - 42) < 0 versus H,: (4, - 42) > 0 O H,: (4, - 4,) * 0 versus H: (u, - H2) = 0 Calculate the pooled estimate of o?, the associated degrees of freedom, and the observed value of the t statistic. (Round s? and your t statistic to three decimal places s2 = 0.727 df = 26 t = 3.049 What is the rejection region using a = 0.05? (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
Use the information provided to answer the questions. Population Sample Size 15 13 Sample Mean 34.9 32.3 Sample Variance 4.6 5.6 A USE SALT State the null and alternative hypotheses for testing for a significant difference in means. O Ho: (u, - u2) = 0 versus H,: (4, - 42) > 0 O H,: (u, - u,) = 0 versus H: (u, - 4,) < 0 O H,: (4, - 42) = 0 versus H,: (4, - 42) # 0 O Ho: (4, - 42) < 0 versus H,: (4, - 42) > 0 O H,: (4, - 4,) * 0 versus H: (u, - H2) = 0 Calculate the pooled estimate of o?, the associated degrees of freedom, and the observed value of the t statistic. (Round s? and your t statistic to three decimal places s2 = 0.727 df = 26 t = 3.049 What is the rejection region using a = 0.05? (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
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
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3. solve for
s2 =
t =
t >
t <
![Use the information provided to answer the questions.
| Population | 1 | 2 |
|------------|-----|-----|
| Sample Size | 15 | 15 |
| Sample Mean | 34.9 | 32.3 |
| Sample Variance | 4.6 | 5.6 |
**State the null and alternative hypotheses for testing for a significant difference in means.**
- \( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) > 0 \)
- \( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) < 0 \)
- **\( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) \neq 0 \)**
- \( H_0: (\mu_1 - \mu_2) < 0 \) versus \( H_a: (\mu_1 - \mu_2) > 0 \)
- \( H_0: (\mu_1 - \mu_2) \neq 0 \) versus \( H_a: (\mu_1 - \mu_2) = 0 \)
**Calculate the pooled estimate of \( \sigma^2 \), the associated degrees of freedom, and the observed value of the \( t \) statistic.**
\[
s^2 = 0.727 \quad \text{❌}
\]
\[
df = 26 \quad \text{✔️}
\]
\[
t = 3.049 \quad \text{❌}
\]
**What is the rejection region using \( \alpha = 0.05 \)?** (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
- \( t > 2.056 \quad \text{❌} \)
- \( t < 2.056 \quad \text{✔️} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0043636e-317e-482a-b701-46e9ae6bab2e%2Fc50ee98b-c7c9-4a8b-83fe-ff08b8e762b9%2Fj3ptyxj_processed.png&w=3840&q=75)
Transcribed Image Text:Use the information provided to answer the questions.
| Population | 1 | 2 |
|------------|-----|-----|
| Sample Size | 15 | 15 |
| Sample Mean | 34.9 | 32.3 |
| Sample Variance | 4.6 | 5.6 |
**State the null and alternative hypotheses for testing for a significant difference in means.**
- \( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) > 0 \)
- \( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) < 0 \)
- **\( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) \neq 0 \)**
- \( H_0: (\mu_1 - \mu_2) < 0 \) versus \( H_a: (\mu_1 - \mu_2) > 0 \)
- \( H_0: (\mu_1 - \mu_2) \neq 0 \) versus \( H_a: (\mu_1 - \mu_2) = 0 \)
**Calculate the pooled estimate of \( \sigma^2 \), the associated degrees of freedom, and the observed value of the \( t \) statistic.**
\[
s^2 = 0.727 \quad \text{❌}
\]
\[
df = 26 \quad \text{✔️}
\]
\[
t = 3.049 \quad \text{❌}
\]
**What is the rejection region using \( \alpha = 0.05 \)?** (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
- \( t > 2.056 \quad \text{❌} \)
- \( t < 2.056 \quad \text{✔️} \)
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