Assume that a sample is used to estimate a population mean μ. Find the 80% confidence interval for a sample of size 55 with a mean of 75.2 and a standard deviation of 17.7. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place). 80% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

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**Topic: Calculating Confidence Intervals**

Assume that a sample is used to estimate a population mean \( \mu \). Find the 80% confidence interval for a sample of size 55 with a mean of 75.2 and a standard deviation of 17.7. Enter your answer as an **open-interval** (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

**80% C.I. =** [ ]

The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

---

**Instructions:** 
- Use the given sample size, mean, and standard deviation to calculate the confidence interval.
- Make sure your final answer is in the format of an open-interval.
- Accuracy is critical; ensure calculations remain precise until the final step where rounding is directed.

**Note:** This exercise emphasizes understanding statistical estimations and the importance of specifying precision in reporting results.
Transcribed Image Text:**Topic: Calculating Confidence Intervals** Assume that a sample is used to estimate a population mean \( \mu \). Find the 80% confidence interval for a sample of size 55 with a mean of 75.2 and a standard deviation of 17.7. Enter your answer as an **open-interval** (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place). **80% C.I. =** [ ] The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places. --- **Instructions:** - Use the given sample size, mean, and standard deviation to calculate the confidence interval. - Make sure your final answer is in the format of an open-interval. - Accuracy is critical; ensure calculations remain precise until the final step where rounding is directed. **Note:** This exercise emphasizes understanding statistical estimations and the importance of specifying precision in reporting results.
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The true but unknown population mean is μ.

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