according to specifications? Click the icon to view the data. What are the null and alternative hypotheses? OA. Ho: Median weight=5.670 g H,: Median weight 5.670 g OC. Ho: Median weight s 5.670 g H,: Median weight 5.670 g Find the test statistic Test statistic (Round to two decimal places as needed.) Find the P-value. P-value (Round to four decimal places as needed.) Determine the proper conclusion. Choose the correct answers below. Since the P-value is than the significance level, the null hypothesis. There is OB. Ho: Median weight 5.670 g H,: Median weight # 5.670 g OD. Ho: Median weights 5.670 g H,: Median weight=5.670 g evidence that the quarters are not minted according to specifications. More Info Post-1964 Quarters 5.6191 5.5668 5.6203 5.7157 5.6177 5.7442 5.6524 5.7457 5.6376 5.5453 5.5949 5.7296 5.6336 5.6537 5.7086 5.5759 5.6678 5.5987 5.6824 5.5776 5.5356 5.7131 5.5509 5.6331 5.5414 5.7395 5.5449 5.6745 5.6853 5.6774 5.6934 5.5776 5.5478 5.6618 5.7107 5.5338 5.6926 5.7401 5.6544 5.7018 Print Done X

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### Statistical Analysis of Coin Weights

The data in the accompanying table give the weights (in grams) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 grams. Use the sign test and a 0.05 significance level to test the claim that the median is equal to 5.670 grams. Do quarters appear to be minted according to specifications?

**Steps to Analyze the Data:**

1. **Formulate Null and Alternative Hypotheses:**

   - **A.**  
     \(H_0:\) Median weight = 5.670 g  
     \(H_1:\) Median weight < 5.670 g

   - **B.**  
     \(H_0:\) Median weight = 5.670 g  
     \(H_1:\) Median weight ≠ 5.670 g

   - **C.**  
     \(H_0:\) Median weight ≤ 5.670 g  
     \(H_1:\) Median weight > 5.670 g

   - **D.**  
     \(H_0:\) Median weight ≥ 5.670 g  
     \(H_1:\) Median weight ≠ 5.670 g

2. **Determine the Test Statistic:**

   - Insert calculated test statistic. (Round to two decimal places as needed.)

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

   - Insert P-value here. (Round to four decimal places as needed.)

4. **Make a Decision:**

   - Since the P-value is [Select: less/greater] than the significance level [Enter Value], [retain/reject] the null hypothesis. There is [sufficient/insufficient] evidence that the quarters are not minted according to specifications.

**Table Information:**

- The "More Info" table displays the weights of quarters in grams that were minted post-1964. The values are as follows:
  - 5.6191, 5.5686, 6.203, 5.757
  - 5.6177, 5.7442, 5.5624, 5.7457
  - (and so forth, continuing similar entries)

The task is to analyze whether these weights deviate significantly from the specified median of 5.670 grams as per minting specifications. Use appropriate statistical techniques
Transcribed Image Text:### Statistical Analysis of Coin Weights The data in the accompanying table give the weights (in grams) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 grams. Use the sign test and a 0.05 significance level to test the claim that the median is equal to 5.670 grams. Do quarters appear to be minted according to specifications? **Steps to Analyze the Data:** 1. **Formulate Null and Alternative Hypotheses:** - **A.** \(H_0:\) Median weight = 5.670 g \(H_1:\) Median weight < 5.670 g - **B.** \(H_0:\) Median weight = 5.670 g \(H_1:\) Median weight ≠ 5.670 g - **C.** \(H_0:\) Median weight ≤ 5.670 g \(H_1:\) Median weight > 5.670 g - **D.** \(H_0:\) Median weight ≥ 5.670 g \(H_1:\) Median weight ≠ 5.670 g 2. **Determine the Test Statistic:** - Insert calculated test statistic. (Round to two decimal places as needed.) 3. **Find the P-value:** - Insert P-value here. (Round to four decimal places as needed.) 4. **Make a Decision:** - Since the P-value is [Select: less/greater] than the significance level [Enter Value], [retain/reject] the null hypothesis. There is [sufficient/insufficient] evidence that the quarters are not minted according to specifications. **Table Information:** - The "More Info" table displays the weights of quarters in grams that were minted post-1964. The values are as follows: - 5.6191, 5.5686, 6.203, 5.757 - 5.6177, 5.7442, 5.5624, 5.7457 - (and so forth, continuing similar entries) The task is to analyze whether these weights deviate significantly from the specified median of 5.670 grams as per minting specifications. Use appropriate statistical techniques
Expert Solution
Step 1: providing given information

the median weight of quarters =5.670 mg

given level of significance to test sign test is 0.05

given claim is median is equal to 5.670 mg





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