Ho: H1 – 42 = 0 Ha: H1 – 42 +0 following results are for two independent samples taken from two populations. el File: data10-03.xlsx Sample 1 Sample 2 nį = 80 n2 = 70 = 104 E2 = 106 01 = 8.4 02 = 7.6

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Consider the following hypothesis test.

The following results are for two independent samples taken from two populations.

### Hypothesis Test Example

Consider the following hypothesis test:

- Null Hypothesis (\(H_0\)): \(\mu_1 - \mu_2 = 0\)
- Alternative Hypothesis (\(H_a\)): \(\mu_1 - \mu_2 \neq 0\)

The following results are for two independent samples taken from two populations.

**Excel File:** [data10-03.xlsx](#)

#### Sample Data
- **Sample 1:**
  - \( n_1 = 80 \)
  - \( \bar{x}_1 = 104 \)
  - \( \sigma_1 = 8.4 \)

- **Sample 2:**
  - \( n_2 = 70 \)
  - \( \bar{x}_2 = 106 \)
  - \( \sigma_2 = 7.6 \)

#### Questions
Enter negative values as negative numbers.

a. What is the value of the test statistic? (to 2 decimals)  
[Input Field]

b. What is the \( p \)-value? (to 4 decimals)  
[Input Field]

c. With \(\alpha = 0.05\), what is your hypothesis testing conclusion?  
[Dropdown Menu: - Select your answer -]
Transcribed Image Text:### Hypothesis Test Example Consider the following hypothesis test: - Null Hypothesis (\(H_0\)): \(\mu_1 - \mu_2 = 0\) - Alternative Hypothesis (\(H_a\)): \(\mu_1 - \mu_2 \neq 0\) The following results are for two independent samples taken from two populations. **Excel File:** [data10-03.xlsx](#) #### Sample Data - **Sample 1:** - \( n_1 = 80 \) - \( \bar{x}_1 = 104 \) - \( \sigma_1 = 8.4 \) - **Sample 2:** - \( n_2 = 70 \) - \( \bar{x}_2 = 106 \) - \( \sigma_2 = 7.6 \) #### Questions Enter negative values as negative numbers. a. What is the value of the test statistic? (to 2 decimals) [Input Field] b. What is the \( p \)-value? (to 4 decimals) [Input Field] c. With \(\alpha = 0.05\), what is your hypothesis testing conclusion? [Dropdown Menu: - Select your answer -]
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