A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 10.3, 10.8, 10.4, and 10.6 pounds. Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below. a. Choose the correct interpretation of the confidence interval below and, if necessary, fill in the answer boxes to complete your choice. OA. We are 95% confident the population mean is between and OB. There is a 95% chance that all intervals will be between OC. We are 95% confident that the sample mean is between and OD. The requirements for constructing a confidence interval are not satisfied. (Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.) and

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**Statistical Analysis of Oranges' Weights**

A statistics instructor randomly selected four bags of oranges. Each bag was labeled 10 pounds. The weights recorded for these bags were 10.3, 10.8, 10.4, and 10.6 pounds. Assume that the distribution of weights is Normal. The goal is to find a 95% confidence interval for the mean weight of all bags of oranges. Calculations are to be done using technological tools. Answer the following parts:

---

**a. Interpretation of the Confidence Interval**

Choose the correct interpretation of the confidence interval below and, if necessary, complete the answer boxes.

- **○ A.** We are 95% confident the population mean is between [ ] and [ ].

- **○ B.** There is a 95% chance that all intervals will be between [ ] and [ ].

- **○ C.** We are 95% confident that the sample mean is between [ ] and [ ].

- **○ D.** The requirements for constructing a confidence interval are not satisfied.

*(Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.)*

---

Ensure to choose the most appropriate interpretation based on the given data and statistical principles.
Transcribed Image Text:**Statistical Analysis of Oranges' Weights** A statistics instructor randomly selected four bags of oranges. Each bag was labeled 10 pounds. The weights recorded for these bags were 10.3, 10.8, 10.4, and 10.6 pounds. Assume that the distribution of weights is Normal. The goal is to find a 95% confidence interval for the mean weight of all bags of oranges. Calculations are to be done using technological tools. Answer the following parts: --- **a. Interpretation of the Confidence Interval** Choose the correct interpretation of the confidence interval below and, if necessary, complete the answer boxes. - **○ A.** We are 95% confident the population mean is between [ ] and [ ]. - **○ B.** There is a 95% chance that all intervals will be between [ ] and [ ]. - **○ C.** We are 95% confident that the sample mean is between [ ] and [ ]. - **○ D.** The requirements for constructing a confidence interval are not satisfied. *(Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.)* --- Ensure to choose the most appropriate interpretation based on the given data and statistical principles.
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