Listed below are student evaluation ratings of courses, where a rating of 5 is for "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 95%| confidence level. What does the confidence interval tell about the population of all college students in the state? 3.5, 3.1, 4.3, 4.9, 2.9, 4.1, 3.3, 4.8, 4.1, 4.5, 4.3, 3.8, 3.6, 3.8, 4.1 O What is the confidence interval for the population mean u? | (Round to two decimal places as needed.)

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**Student Evaluation Ratings Analysis**

Listed below are student evaluation ratings of courses, where a rating of 5 is for "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 95% confidence level. What does the confidence interval tell about the population of all college students in the state?

**Ratings:**

3.5, 3.1, 4.3, 4.9, 2.9, 4.1, 3.3, 4.8, 4.1, 4.5, 4.3, 3.8, 3.6, 3.8, 4.1

**Question:**

What is the confidence interval for the population mean μ?

\[ \underline{\phantom{<}} < \mu < \underline{\phantom{<}} \]

*(Round to two decimal places as needed.)*

**Instructions:**

To calculate the confidence interval, use statistical methods such as the t-distribution, taking the sample mean and standard deviation into account to determine the range in which the true population mean is likely to exist with 95% certainty. This confidence interval helps in understanding the potential variation in course ratings among all students in the state based on this sample.
Transcribed Image Text:**Student Evaluation Ratings Analysis** Listed below are student evaluation ratings of courses, where a rating of 5 is for "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 95% confidence level. What does the confidence interval tell about the population of all college students in the state? **Ratings:** 3.5, 3.1, 4.3, 4.9, 2.9, 4.1, 3.3, 4.8, 4.1, 4.5, 4.3, 3.8, 3.6, 3.8, 4.1 **Question:** What is the confidence interval for the population mean μ? \[ \underline{\phantom{<}} < \mu < \underline{\phantom{<}} \] *(Round to two decimal places as needed.)* **Instructions:** To calculate the confidence interval, use statistical methods such as the t-distribution, taking the sample mean and standard deviation into account to determine the range in which the true population mean is likely to exist with 95% certainty. This confidence interval helps in understanding the potential variation in course ratings among all students in the state based on this sample.
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