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.
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.
A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faddcfefe-79de-4bfb-b00e-9692daf48932%2F49ce73ec-2796-46ad-91d0-367524e5acc7%2Fxvkld1_processed.jpeg&w=3840&q=75)
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.
Expert Solution
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Introduction:
The true but unknown population mean is μ.
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