MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Estimation
A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.
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**Statistical Analysis of Birth Month Distribution** Treat the number of months \(X\) after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. **a. Distribution of \(X\):** What is the distribution of \(X\)? \[X \sim U(\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_)\] **b. Distribution for a Sample of 38 People:** Suppose that 38 people are surveyed. What is the distribution of \(\bar{x}\) for this sample? \[\bar{x} \sim N(\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_)\] **c. Probability Calculation:** What is the probability that the average birth month of the 38 people will be more than 4.8? \[\_\_\_\_\_\_\_\_\]
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Transcribed Image Text:**Statistical Analysis of Birth Month Distribution** Treat the number of months \(X\) after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. **a. Distribution of \(X\):** What is the distribution of \(X\)? \[X \sim U(\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_)\] **b. Distribution for a Sample of 38 People:** Suppose that 38 people are surveyed. What is the distribution of \(\bar{x}\) for this sample? \[\bar{x} \sim N(\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_)\] **c. Probability Calculation:** What is the probability that the average birth month of the 38 people will be more than 4.8? \[\_\_\_\_\_\_\_\_\]
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