Calculate the missing values in the Stata output (SKIP E!!!). Two-sample t test with A variances X y combined diff Obs Ho: diff=0 49 30 79 diff = mean(x) Ha: diff < 0 Pr(T |t|) = G E 39.62126 C F degrees of freedom = 44.06702 42.72811 1.6996 77 Ha: diff > 0 Pr{T > t) = H

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**Exercise for Two-Sample t-Test Analysis**

**Task:** Calculate the missing values in the Stata output (SKIP E!!!).

**Two-sample t test with [A] variances**

|          | Obs | Mean | Std. Err. | Std. Dev. | [95% Conf. Interval] |
|----------|-----|------|-----------|-----------|----------------------|
| x        | 49  | 42.2 | [B]       | 6.5       | 40.33298             | 44.06702 |
| y        | 30  | 39.5 | 1.351049  | 7.4       | [C]                  |
| combined | 79  | 41.17468 | 0.7802838 | 6.935314 | 39.62126 | 42.72811 |
| diff     |     | [D]  | 1.588642  | [E]       | [F]                  |

**Further Details:**
- The difference (diff) is calculated as `mean(x) - mean(y)`.
- Null hypothesis (H0): `diff = 0`
- Test statistic (t): `1.6996`
- Degrees of freedom: `77`

**Hypotheses and Significance Levels:**
- **Ha: diff < 0**  
  Pr(T < t) = 0.9534

- **Ha: diff ≠ 0**  
  Pr(|T| > |t|) = [G]

- **Ha: diff > 0**  
  Pr(T > t) = [H]

**Instructions:** Identify and calculate the missing values indicated by the placeholders [A], [B], [C], [D], [F], [G], and [H], except for placeholder [E] which is to be skipped.
Transcribed Image Text:**Exercise for Two-Sample t-Test Analysis** **Task:** Calculate the missing values in the Stata output (SKIP E!!!). **Two-sample t test with [A] variances** | | Obs | Mean | Std. Err. | Std. Dev. | [95% Conf. Interval] | |----------|-----|------|-----------|-----------|----------------------| | x | 49 | 42.2 | [B] | 6.5 | 40.33298 | 44.06702 | | y | 30 | 39.5 | 1.351049 | 7.4 | [C] | | combined | 79 | 41.17468 | 0.7802838 | 6.935314 | 39.62126 | 42.72811 | | diff | | [D] | 1.588642 | [E] | [F] | **Further Details:** - The difference (diff) is calculated as `mean(x) - mean(y)`. - Null hypothesis (H0): `diff = 0` - Test statistic (t): `1.6996` - Degrees of freedom: `77` **Hypotheses and Significance Levels:** - **Ha: diff < 0** Pr(T < t) = 0.9534 - **Ha: diff ≠ 0** Pr(|T| > |t|) = [G] - **Ha: diff > 0** Pr(T > t) = [H] **Instructions:** Identify and calculate the missing values indicated by the placeholders [A], [B], [C], [D], [F], [G], and [H], except for placeholder [E] which is to be skipped.
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