Consider the following hypothesis statement using a = 0.05 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b. Hoi khi không đọ x₁ = 14.8 H₁ H₁ H₂ #0 x₂ = 12.0 $₂= 3.3 $₁ = 2.8 n₁ = 20 n₂=17 a. Calculate the appropriate test statistic and interpret the result. The test statistic is (Round to two decimal places as needed.)
Consider the following hypothesis statement using a = 0.05 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b. Hoi khi không đọ x₁ = 14.8 H₁ H₁ H₂ #0 x₂ = 12.0 $₂= 3.3 $₁ = 2.8 n₁ = 20 n₂=17 a. Calculate the appropriate test statistic and interpret the result. The test statistic is (Round to two decimal places as needed.)
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
b.) Determine the critical values
c.) Determine the p-value
![**Hypothesis Testing with Independent Samples**
Consider the following hypothesis statement using a significance level of α = 0.05 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b.
**Hypotheses:**
- Null Hypothesis (H₀): μ₁ - μ₂ = 0
- Alternative Hypothesis (H₁): μ₁ - μ₂ ≠ 0
**Sample Data:**
- Sample 1:
- Mean (x̄₁) = 14.8
- Standard Deviation (s₁) = 2.8
- Sample Size (n₁) = 20
- Sample 2:
- Mean (x̄₂) = 12.0
- Standard Deviation (s₂) = 3.3
- Sample Size (n₂) = 17
**Task a:**
Calculate the appropriate test statistic and interpret the result.
**Prompt:**
The test statistic is [_____].
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1edf6bab-4728-4898-93c7-8c180c68b645%2Fcdd23ec0-a7d4-460d-ad8c-90aebb856a28%2F0wt4nz1s_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing with Independent Samples**
Consider the following hypothesis statement using a significance level of α = 0.05 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b.
**Hypotheses:**
- Null Hypothesis (H₀): μ₁ - μ₂ = 0
- Alternative Hypothesis (H₁): μ₁ - μ₂ ≠ 0
**Sample Data:**
- Sample 1:
- Mean (x̄₁) = 14.8
- Standard Deviation (s₁) = 2.8
- Sample Size (n₁) = 20
- Sample 2:
- Mean (x̄₂) = 12.0
- Standard Deviation (s₂) = 3.3
- Sample Size (n₂) = 17
**Task a:**
Calculate the appropriate test statistic and interpret the result.
**Prompt:**
The test statistic is [_____].
(Round to two decimal places as needed.)
Expert Solution
Step 1
given data
equal variance assumption :
df =
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