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s= 306.1 (Round to one decimal place as needed.) (c) Construct a 95% confidence interval for the population mean μ. A 95% confidence interval for the population mean is (). (Round to one decimal place as needed.) 1

s= 306.1 (Round to one decimal place as needed.) (c) Construct a 95% confidence interval for the population mean μ. A 95% confidence interval for the population mean is (). (Round to one decimal place as needed.) 1

MATLAB: An Introduction with Applications
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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# Sample Data Analysis of High School Seniors' Test Scores The state test scores for 12 randomly selected high school seniors are shown below. We are tasked with the following objectives: - Find the sample mean. - Find the sample standard deviation. - Construct a 95% confidence interval for the population mean µ. ### Test Scores: ``` 1427, 1228, 987, 692, 726, 836, 720, 740, 542, 621, 1443, 944 ``` ### Objectives: #### (a) Calculate the sample mean. The sample mean (denoted as x̄) is the average of the test scores. \[ x̄ = 908.8 \] *Rounded to one decimal place as needed.* #### (b) Calculate the sample standard deviation. The sample standard deviation (denoted as s) measures the variability of the scores. \[ s = 306.1 \] *Rounded to one decimal place as needed.* #### (c) Construct a 95% confidence interval for the population mean µ. A 95% confidence interval gives an estimated range of values which is likely to include the population mean. The confidence interval for the population mean is represented as: \[ \text{Confidence Interval: [ , ]} \] *Rounded to one decimal place as needed.* For more educational resources, remain engaged on our platform to deepen your understanding of statistical analysis and sample data evaluations.
Transcribed Image Text:# Sample Data Analysis of High School Seniors' Test Scores The state test scores for 12 randomly selected high school seniors are shown below. We are tasked with the following objectives: - Find the sample mean. - Find the sample standard deviation. - Construct a 95% confidence interval for the population mean µ. ### Test Scores: ``` 1427, 1228, 987, 692, 726, 836, 720, 740, 542, 621, 1443, 944 ``` ### Objectives: #### (a) Calculate the sample mean. The sample mean (denoted as x̄) is the average of the test scores. \[ x̄ = 908.8 \] *Rounded to one decimal place as needed.* #### (b) Calculate the sample standard deviation. The sample standard deviation (denoted as s) measures the variability of the scores. \[ s = 306.1 \] *Rounded to one decimal place as needed.* #### (c) Construct a 95% confidence interval for the population mean µ. A 95% confidence interval gives an estimated range of values which is likely to include the population mean. The confidence interval for the population mean is represented as: \[ \text{Confidence Interval: [ , ]} \] *Rounded to one decimal place as needed.* For more educational resources, remain engaged on our platform to deepen your understanding of statistical analysis and sample data evaluations.
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