According to an estimate, the average price of homes in Martha's Vineyard, Massachusetts, was $650,000 in 2011 (USA TODAY, August 11, 2011). Arecent random sample of 70 homes from Martha's Vineyard showed that their average price is $680,000 with a standard deviation of $100,000. Using a 2% significance level, can you conclude that the current average price of homes in Martha's Vineyard is different from $650,000? Use both the p-value and critical-value approaches. Use the p-value approach. Use the t distribution table to find a range for the p-value. Enter the exact values for the range.

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Chapter1: Combinatorial Analysis
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According to an estimate, the average price of homes in Martha’s Vineyard, Massachusetts, was $650,000 in 2011 (USA TODAY, August 11, 2011). A recent random sample of 70 homes from Martha’s Vineyard showed that their average price is $680,000 with a standard deviation of $100,000. Using a 2% significance level, can you conclude that the current average price of homes in Martha’s Vineyard is different from $650,000? Use both the p-value and critical-value approaches.

**Instructions:**

- Use the **p-value approach**. Use the t distribution table to find a range for the p-value. Enter the exact values for the range.
  - [Info Button] < p-value < [Info Button]

- Use the **critical-value approach**. Enter the critical values with 3 decimal places in increasing order. Round your observed value to four decimal places.
  - Observed value = [Info Button]
  - Critical value 1 = 
  - Critical value 2 = 

**Conclusion:** 

We conclude that the current average price of homes in Martha’s Vineyard is [Dropdown: equal to/different from] $650,000.

**Interactive Elements:**

- **Info Buttons**: Provide guidance or tips when hovered over or clicked.
- **Dropdown Menu**: Offers options to conclude if the average price is equal to or different from $650,000.

**Supporting Materials:**

- **eTextbook and Media**: Resources for additional learning and context.
Transcribed Image Text:According to an estimate, the average price of homes in Martha’s Vineyard, Massachusetts, was $650,000 in 2011 (USA TODAY, August 11, 2011). A recent random sample of 70 homes from Martha’s Vineyard showed that their average price is $680,000 with a standard deviation of $100,000. Using a 2% significance level, can you conclude that the current average price of homes in Martha’s Vineyard is different from $650,000? Use both the p-value and critical-value approaches. **Instructions:** - Use the **p-value approach**. Use the t distribution table to find a range for the p-value. Enter the exact values for the range. - [Info Button] < p-value < [Info Button] - Use the **critical-value approach**. Enter the critical values with 3 decimal places in increasing order. Round your observed value to four decimal places. - Observed value = [Info Button] - Critical value 1 = - Critical value 2 = **Conclusion:** We conclude that the current average price of homes in Martha’s Vineyard is [Dropdown: equal to/different from] $650,000. **Interactive Elements:** - **Info Buttons**: Provide guidance or tips when hovered over or clicked. - **Dropdown Menu**: Offers options to conclude if the average price is equal to or different from $650,000. **Supporting Materials:** - **eTextbook and Media**: Resources for additional learning and context.
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