Use the given degree of confidence and sample data to construct a confidence interval for the population mean H. Assume that the population has a normal distribution. Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students. A) 91.68 < µ < 98.32 B) 92.95 < µ < 97.05 C) 91.69 < µ < 98.31 D) 92.03 < µ < 97.97
Use the given degree of confidence and sample data to construct a confidence interval for the population mean H. Assume that the population has a normal distribution. Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students. A) 91.68 < µ < 98.32 B) 92.95 < µ < 97.05 C) 91.69 < µ < 98.31 D) 92.03 < µ < 97.97
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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Use the given degree
Transcribed Image Text:**Problem 78: Constructing a Confidence Interval for the Population Mean**
In this problem, you are tasked with using the given degree of confidence and sample data to construct a confidence interval for the population mean, denoted as μ. Assume that the population follows a normal distribution.
**Scenario:**
Thirty randomly selected students took the calculus final exam. The sample mean score was 95, and the standard deviation was 6.6. You need to construct a 99% confidence interval for the mean score of all students.
**Options:**
- A) \(91.68 < \mu < 98.32\)
- B) \(92.95 < \mu < 97.05\)
- C) \(91.69 < \mu < 98.31\)
- D) \(92.03 < \mu < 97.97\)
Your goal is to identify the correct confidence interval based on the given information.
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