Assume that a sample is used to estimate a population mean µ. Find the 99% confidence interval for a sample of size 64 with a mean of 49.5 and a standard deviation of 20.3. 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). 99% 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 99% confidence interval for a sample of size 64 with a mean of 49.5 and a standard deviation of 20.3. 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). 99% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Confidence Interval Calculation**
Assume that a sample is used to estimate a population mean \(\mu\). Find the 99% confidence interval for a sample of size 64 with a mean of 49.5 and a standard deviation of 20.3. 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).
\[ \text{99% C.I.} = \_\_\_\_\_\_ \]
Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
**Note:**
- \( \text{Size of sample (n)} = 64 \)
- \( \text{Sample mean} (\overline{x}) = 49.5 \)
- \( \text{Standard deviation} (s) = 20.3 \)
**Instructions for students**:
- Determine the critical value using the z-distribution for a 99% confidence level.
- Calculate the margin of error and use it to find the confidence interval.
- Provide the answer as an open-interval (accurate to one decimal place).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd120f3b3-582e-4ce3-bf67-95261f57ecc8%2F2a9ec308-21c4-4d06-a9cf-2f6bcd6c829c%2Fn21z6wa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Confidence Interval Calculation**
Assume that a sample is used to estimate a population mean \(\mu\). Find the 99% confidence interval for a sample of size 64 with a mean of 49.5 and a standard deviation of 20.3. 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).
\[ \text{99% C.I.} = \_\_\_\_\_\_ \]
Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
**Note:**
- \( \text{Size of sample (n)} = 64 \)
- \( \text{Sample mean} (\overline{x}) = 49.5 \)
- \( \text{Standard deviation} (s) = 20.3 \)
**Instructions for students**:
- Determine the critical value using the z-distribution for a 99% confidence level.
- Calculate the margin of error and use it to find the confidence interval.
- Provide the answer as an open-interval (accurate to one decimal place).
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