**Study on High School Students' Scores in a Mobile Game**A random sample of 30 students at a high school was allowed to play a popular cell phone game for an hour, aiming to score as many points as possible. The study revealed an average score of 375 with a standard deviation of 100. The 90% confidence interval for this data is calculated as 375 ± 31.**Question:**Which statement best summarizes the meaning of this confidence interval?- **Option A:** Approximately 90% of the students at a high school will have an average score between 344 and 406 points. - **Option B:** If this procedure were repeated many times, about 10% of the confidence intervals constructed would fail to include the mean number of points scored by all students at a high school. - **Option C:** Approximately 10% of all students at the high school will score more than 406 points. - **Option D:** If we repeated this procedure many times, the average number of points scored by our sample of 30 students will be between 344 and 406 points approximately 90% of the time.**Explanation of 90% Confidence Interval:**The confidence interval range of 344 to 406 points indicates that if we were to take many samples and build a confidence interval from each of them, we would expect about 90% of these intervals to contain the true average score of the population of all students at the high school. This statistical measure gives insight into the reliability and variability of the sample mean as an estimate of the population mean.

The 90% confidence interval is 375±31. That is, CI=344,406.

Answered: A random sample of 30 students at a…

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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