In a random sample of ten cell phones, the mean full retail price was $446.50 and the standard deviation was $165.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean p. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 90% confidence interval for the population mean. (OD (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice (Type an integer or a decimal. Do not round.) O A. With % confidence, it can be said that the population mean full retail price of cell phones (in dollars) is between the interval's endpoints. O B. It can be said that % of the population of cell phones have full retail prices (in dollars) that are between the interval's endpoints. O C. % of all random samples of ten people from the population of cell phones will have a mean full retail price (in dollars) that is between the interval's endpoints. O D. With % confidence, it can be said that most cell phones in the population have full retail prices (in dollars) that are between the interval's endpoints.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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In a random sample of ten cell phones, the mean full retail price was $446.50 and the standard deviation was $165.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ. Interpret the results.

**Identify the margin of error.**  
[Input Box] (Round to one decimal place as needed.)

**Construct a 90% confidence interval for the population mean.**  
[Input Box] (Round to one decimal place as needed.)

**Interpret the results.** Select the correct choice below and fill in the answer box to complete your choice (Type an integer or a decimal. Do not round.)

- A. With [Input Box]% confidence, it can be said that the population mean full retail price of cell phones (in dollars) is between the interval's endpoints.
- B. It can be said that [Input Box]% of the population of cell phones have full retail prices (in dollars) that are between the interval's endpoints.
- C. [Input Box]% of all random samples of ten people from the population of cell phones will have a mean full retail price (in dollars) that is between the interval's endpoints.
- D. With [Input Box]% confidence, it can be said that most cell phones in the population have full retail prices (in dollars) that are between the interval's endpoints.

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Transcribed Image Text:In a random sample of ten cell phones, the mean full retail price was $446.50 and the standard deviation was $165.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ. Interpret the results. **Identify the margin of error.** [Input Box] (Round to one decimal place as needed.) **Construct a 90% confidence interval for the population mean.** [Input Box] (Round to one decimal place as needed.) **Interpret the results.** Select the correct choice below and fill in the answer box to complete your choice (Type an integer or a decimal. Do not round.) - A. With [Input Box]% confidence, it can be said that the population mean full retail price of cell phones (in dollars) is between the interval's endpoints. - B. It can be said that [Input Box]% of the population of cell phones have full retail prices (in dollars) that are between the interval's endpoints. - C. [Input Box]% of all random samples of ten people from the population of cell phones will have a mean full retail price (in dollars) that is between the interval's endpoints. - D. With [Input Box]% confidence, it can be said that most cell phones in the population have full retail prices (in dollars) that are between the interval's endpoints. [Next Button]
In a random sample of ten cell phones, the mean full retail price was $446.50 and the standard deviation was $165.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ. Interpret the results.

1. **Identify the margin of error:**
   - A dropdown menu is available to select a unit, with options: dollars, square dollars, cell phones.
   
2. **Construct the confidence interval for the population mean:**
   - There is a text box to input the calculated mean.

3. **Interpret the results - Choose the correct statement:**
   - A list of options where you need to fill in the blanks with appropriate values:
     - **A.** It can be said that the population mean full retail price of cell phones (in dollars) is between the interval's endpoints.
     - **B.** It can be said that \(\_\_\_\_\_\_\_\) % of the population of cell phones have full retail prices (in dollars) that are between the interval's endpoints.
     - **C.** \(\_\_\_\_\_\_\_\) % of all random samples of ten people from the population of cell phones will have a mean full retail price (in dollars) that is between the interval's endpoints.
     - **D.** With \(\_\_\_\_\_\_\_\) % confidence, it can be said that most cell phones in the population have full retail prices (in dollars) that are between the interval's endpoints.

- A "Next" button is available to proceed after completing the task.

**Note:** This exercise involves using statistical concepts such as the t-distribution, margin of error, and confidence intervals to analyze the pricing data of cell phones.
Transcribed Image Text:In a random sample of ten cell phones, the mean full retail price was $446.50 and the standard deviation was $165.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ. Interpret the results. 1. **Identify the margin of error:** - A dropdown menu is available to select a unit, with options: dollars, square dollars, cell phones. 2. **Construct the confidence interval for the population mean:** - There is a text box to input the calculated mean. 3. **Interpret the results - Choose the correct statement:** - A list of options where you need to fill in the blanks with appropriate values: - **A.** It can be said that the population mean full retail price of cell phones (in dollars) is between the interval's endpoints. - **B.** It can be said that \(\_\_\_\_\_\_\_\) % of the population of cell phones have full retail prices (in dollars) that are between the interval's endpoints. - **C.** \(\_\_\_\_\_\_\_\) % of all random samples of ten people from the population of cell phones will have a mean full retail price (in dollars) that is between the interval's endpoints. - **D.** With \(\_\_\_\_\_\_\_\) % confidence, it can be said that most cell phones in the population have full retail prices (in dollars) that are between the interval's endpoints. - A "Next" button is available to proceed after completing the task. **Note:** This exercise involves using statistical concepts such as the t-distribution, margin of error, and confidence intervals to analyze the pricing data of cell phones.
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