Statistics 1. Ho: μ = 50 Hypothesis Testing One Sample H₂: o=5 n = 36 xbar = 49 significance level = 0.05 __crit = _stat = α = pvalue= tail

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# Statistics: Hypothesis Testing One Sample

## 1. Hypothesis Test

**Null Hypothesis (H₀):** μ = 50  
**Alternative Hypothesis (Hₐ):**  

- **Sample size (n):** 36  
- **Sample mean (x̄):** 49  
- **Population standard deviation (σ):** 5  
- **Significance level:** 0.05  

### Graph

The graph displays a bell-shaped normal distribution curve.

### Test Details

|               |      |  
|---------------|------|  
| **Critical value (__crit):** |  |  
| **Alpha (α):**          |  |  
| **Test statistic (__stat):** |  |  
| **P-value:**            |  |  

## 2. Hypothesis Test

**Null Hypothesis (H₀):** μ ≥ 170  
**Alternative Hypothesis (Hₐ):**  

- **Sample size (n):** 16  
- **Sample mean (x̄):** 165  
- **Sample standard deviation (s):** 10  
- **Significance level:** 0.10  

### Graph

The graph displays a bell-shaped normal distribution curve.

### Test Details

|               |      |  
|---------------|------|  
| **Critical value (__crit):** |  |  
| **Alpha (α):**          |  |  
| **Test statistic (__stat):** |  |  
| **P-value:**            |  |
Transcribed Image Text:# Statistics: Hypothesis Testing One Sample ## 1. Hypothesis Test **Null Hypothesis (H₀):** μ = 50 **Alternative Hypothesis (Hₐ):** - **Sample size (n):** 36 - **Sample mean (x̄):** 49 - **Population standard deviation (σ):** 5 - **Significance level:** 0.05 ### Graph The graph displays a bell-shaped normal distribution curve. ### Test Details | | | |---------------|------| | **Critical value (__crit):** | | | **Alpha (α):** | | | **Test statistic (__stat):** | | | **P-value:** | | ## 2. Hypothesis Test **Null Hypothesis (H₀):** μ ≥ 170 **Alternative Hypothesis (Hₐ):** - **Sample size (n):** 16 - **Sample mean (x̄):** 165 - **Sample standard deviation (s):** 10 - **Significance level:** 0.10 ### Graph The graph displays a bell-shaped normal distribution curve. ### Test Details | | | |---------------|------| | **Critical value (__crit):** | | | **Alpha (α):** | | | **Test statistic (__stat):** | | | **P-value:** | |
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