A golf association requires that golf balls have a diameter that is 1.68 inches. To determine if golf balls conform to the standard, a random sample of golf balls was selected. Their diameters are shown in the accompanying data table. Do the golf balls conform to the standards? Use the a= 0.05 level of significance. Click the icon to view the data table. Data Table Golf Ball Diameter (inches) First determine the appropriate hypotheses. D 1.677 1.681 Ho ▼ 1.678 1.686 H₁ 1.684 1.673 (Type integers or decimals. Do not round.) 1.682 1.675 1.682 1.685 1.684 1.685

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### Determining Golf Ball Conformance to Standards

A golf association requires that golf balls have a diameter of 1.68 inches. To determine if golf balls conform to this standard, a random sample of golf balls was selected. Their diameters are shown in the accompanying data table below. Do the golf balls conform to the standards? Use the α = 0.05 level of significance.

#### Steps to Determine Conformance:
1. **Hypothesis Setup:**
   - Null Hypothesis (H₀): µ = 1.68 inches
   - Alternative Hypothesis (H₁): µ ≠ 1.68 inches

   Note: Type integers or decimals. Do not round.

2. **Analyzing the Data Table:**

   The provided data table lists the diameters in inches of the sampled golf balls:
   
   | Row | Diameter (inches) |
   |-----|-------------------|
   | 1   | 1.682             |
   | 2   | 1.677             |
   | 3   | 1.681             |
   | 4   | 1.685             |
   | 5   | 1.678             |
   | 6   | 1.686             |
   | 7   | 1.684             |
   | 8   | 1.684             |
   | 9   | 1.673             |
   | 10  | 1.685             |
   | 11  | 1.682             |
   | 12  | 1.675             |

3. **Conclusion:** 
   Perform a statistical test (e.g., a t-test) to determine if the sample mean differs significantly from the standard diameter of 1.68 inches, taking into account the given significance level (α = 0.05).

4. **Action Items:**
   - Use appropriate statistical tools to calculate the p-value.
   - Compare the p-value to the level of significance to make conclusions about the hypotheses.

5. **Tools to Assist:**
   - Use the "Help me solve this," "View an example," and "Get more help" features for step-by-step assistance and additional examples.
   
To proceed after performing the hypothesis test, click "Done" to finalize the analysis or "Print" for a hard copy of the data.

---

This educational exercise teaches students how to determine if
Transcribed Image Text:### Determining Golf Ball Conformance to Standards A golf association requires that golf balls have a diameter of 1.68 inches. To determine if golf balls conform to this standard, a random sample of golf balls was selected. Their diameters are shown in the accompanying data table below. Do the golf balls conform to the standards? Use the α = 0.05 level of significance. #### Steps to Determine Conformance: 1. **Hypothesis Setup:** - Null Hypothesis (H₀): µ = 1.68 inches - Alternative Hypothesis (H₁): µ ≠ 1.68 inches Note: Type integers or decimals. Do not round. 2. **Analyzing the Data Table:** The provided data table lists the diameters in inches of the sampled golf balls: | Row | Diameter (inches) | |-----|-------------------| | 1 | 1.682 | | 2 | 1.677 | | 3 | 1.681 | | 4 | 1.685 | | 5 | 1.678 | | 6 | 1.686 | | 7 | 1.684 | | 8 | 1.684 | | 9 | 1.673 | | 10 | 1.685 | | 11 | 1.682 | | 12 | 1.675 | 3. **Conclusion:** Perform a statistical test (e.g., a t-test) to determine if the sample mean differs significantly from the standard diameter of 1.68 inches, taking into account the given significance level (α = 0.05). 4. **Action Items:** - Use appropriate statistical tools to calculate the p-value. - Compare the p-value to the level of significance to make conclusions about the hypotheses. 5. **Tools to Assist:** - Use the "Help me solve this," "View an example," and "Get more help" features for step-by-step assistance and additional examples. To proceed after performing the hypothesis test, click "Done" to finalize the analysis or "Print" for a hard copy of the data. --- This educational exercise teaches students how to determine if
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