Assume that a sample Is used to estimate a population mean u. Find the 90% confldence Interval for a sample of size 324 with a mean of 50.8 and a standard devlatlon of 6.2. Enter your answer as a trl- linear Inequality accurate to one decimal place (because the sample statlstics are reported accurate to one decimal place).
Assume that a sample Is used to estimate a population mean u. Find the 90% confldence Interval for a sample of size 324 with a mean of 50.8 and a standard devlatlon of 6.2. Enter your answer as a trl- linear Inequality accurate to one decimal place (because the sample statlstics are reported accurate to one decimal place).
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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Find the 90% confidence interval
![**Confidence Interval Calculation Problem**
Assume that a sample is used to estimate a population mean \( \mu \). Find the 90% confidence interval for a sample of size 324 with a mean of 50.8 and a standard deviation of 6.2. Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
\[ \_\_\_\_ < \mu < \_\_\_\_ \]
**Instructions:**
The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
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Transcribed Image Text:**Confidence Interval Calculation Problem**
Assume that a sample is used to estimate a population mean \( \mu \). Find the 90% confidence interval for a sample of size 324 with a mean of 50.8 and a standard deviation of 6.2. Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
\[ \_\_\_\_ < \mu < \_\_\_\_ \]
**Instructions:**
The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
[Submit Question Button]
(Note: There are no graphs or diagrams accompanying this text.)
Expert Solution
Step 1
From the provided information,
Sample size (n) = 324
Sample mean (x̅) = 50.8
Sample standard deviation (s) = 6.2
Confidence level = 90%
Level of significance (α) = 1 – 0.90 = 0.10
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