### Educational Content on Constructing a Confidence IntervalA survey was conducted that asked 1009 people how many books they had read in the past year. Results indicated that the sample mean ($ \bar{x} $) was 14.4 books and the standard deviation (s) was 16.6 books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval.**Steps to Construct a 90% Confidence Interval:**1. **Identify the Parameters:** - Sample Mean ($ \bar{x} $): 14.4 books - Standard Deviation (s): 16.6 books - Sample Size (n): 10092. **Determine the Critical Value:** - Use a t-table to find the critical t-value for a 90% confidence interval and a sample size of 1009 (typically use z-value for large n).3. **Calculate the Margin of Error (ME):** - ME = Critical Value $\times$ (s/√n)4. **Construct the Confidence Interval:** - Lower Limit = $ \bar{x} $ - ME - Upper Limit = $ \bar{x} $ + ME5. **Interpret the Confidence Interval:** - There is 90% confidence that the population mean number of books read is between the lower and upper limit.**Multiple Choice Interpretation:**Select the correct choice and fill in the answer boxes:A. If repeated samples are taken, 90% of them will have a sample mean between __ and __.B. There is a 90% probability that the true mean number of books read is between __ and __.C. There is 90% confidence that the population mean number of books read is between __ and __.**Note:** Choose option C for the correct interpretation of a confidence interval.By following these steps and understanding the interpretation, you can effectively construct and understand confidence intervals in statistical research.

Givensample size(n)=1009Mean(x)=14.4standard deviation(s)=16.6confidence level=90%

Answered: A survey was conducted that asked 1009…

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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