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 go balls conform to the standards? Use the a = 0.05 level of significance. E Click the icon to view the data table. - X Data table First determine the appropriate hypotheses. Ho: Golf Ball Diameter (inches) H,: (Type integers or decimals. Do not round.) 1.683 1.677 1.682 1.685 1.678 1.685 Find the test statistic. 1.684 1.684 1.673 1.685 1.682 1.674 (Round to two decimal places as needed.) Find the P-value. Print Done (Round to three decimal places as needed.) What can be concluded from the hypothesis test? O A. Reject Ho. There is sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a= 0.05 level of significance. O B. Do not reject Hn. There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance. OC. Reject Ho. There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance. O D. Do not reject Ho. There is sufficient evidence to conclude that the golf balls do not conform to the association's standards at the a = 0.05 level of significance.

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### Golf Ball Diameter Hypothesis Testing

A golf association requires that golf balls have a diameter of 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 α = 0.05 level of significance.

#### Data Table
The data table provides the diameters (in inches) of the sampled golf balls:

- 1.683
- 1.677
- 1.682
- 1.685
- 1.678
- 1.685
- 1.684
- 1.684
- 1.673
- 1.685
- 1.682
- 1.674

#### Steps for Hypothesis Testing

1. **Determine the Appropriate Hypotheses:**

   - \( H_0 \): The golf balls conform to the standard (the mean diameter is 1.68 inches).
   - \( H_1 \): The golf balls do not conform to the standard (the mean diameter is not 1.68 inches).

2. **Find the Test Statistic:**

   - Calculate the test statistic using the sample data. (Round to two decimal places as needed.)

3. **Find the P-value:**

   - Obtain the P-value corresponding to the test statistic. (Round to three decimal places as needed.)

#### Conclusion from the Hypothesis Test

Based on the obtained P-value and comparing it with the significance level of α = 0.05, make a decision:

- **Option A:**
  Reject \( H_0 \). There is sufficient evidence to conclude that the golf balls do not conform to the association's standards at the α = 0.05 level of significance.

- **Option B:**
  Do not reject \( H_0 \). There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the α = 0.05 level of significance.

- **Option C:**
  Reject \( H_0 \). There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the α = 0.05 level of significance.

- **Option D:**
  Do not reject \( H_0 \). There is sufficient evidence to conclude that the golf balls conform to the association
Transcribed Image Text:### Golf Ball Diameter Hypothesis Testing A golf association requires that golf balls have a diameter of 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 α = 0.05 level of significance. #### Data Table The data table provides the diameters (in inches) of the sampled golf balls: - 1.683 - 1.677 - 1.682 - 1.685 - 1.678 - 1.685 - 1.684 - 1.684 - 1.673 - 1.685 - 1.682 - 1.674 #### Steps for Hypothesis Testing 1. **Determine the Appropriate Hypotheses:** - \( H_0 \): The golf balls conform to the standard (the mean diameter is 1.68 inches). - \( H_1 \): The golf balls do not conform to the standard (the mean diameter is not 1.68 inches). 2. **Find the Test Statistic:** - Calculate the test statistic using the sample data. (Round to two decimal places as needed.) 3. **Find the P-value:** - Obtain the P-value corresponding to the test statistic. (Round to three decimal places as needed.) #### Conclusion from the Hypothesis Test Based on the obtained P-value and comparing it with the significance level of α = 0.05, make a decision: - **Option A:** Reject \( H_0 \). There is sufficient evidence to conclude that the golf balls do not conform to the association's standards at the α = 0.05 level of significance. - **Option B:** Do not reject \( H_0 \). There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the α = 0.05 level of significance. - **Option C:** Reject \( H_0 \). There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the α = 0.05 level of significance. - **Option D:** Do not reject \( H_0 \). There is sufficient evidence to conclude that the golf balls conform to the association
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