Amazon.com is testing the use of drones to deliver packages for same-day delivery. In order to quote narrow time windows, the variability in delivery times must be sufficiently small. Consider a sample of 25 drone deliveries with sample variance of s^2=0.77. Amazon.com is testing the use of drones to deliver packages for same-day delivery. In order to quote narrow time windows, the variability in delivery times must be sufficiently small. Consider a sample of 25 drone deliveries with a sample variance of \( s^2 = 0.77 \).a. Construct a 90% confidence interval estimate of the population variance for the drone delivery time (to 2 decimals). Use Table 11.1.\[ \boxed{\ \ \ \ \ } \leq \sigma^2 \leq \boxed{\ \ \ \ \ } \]b. Construct a 90% confidence interval estimate of the population standard deviation (to 2 decimals). Use Table 11.1.\[ \boxed{\ \ \ \ \ } \leq \sigma \leq \boxed{\ \ \ \ \ } \](Note: Instructions reference Table 11.1, which is presumably a chi-square distribution table necessary for constructing the confidence intervals.) **Table 11.1: Selected Values from the Chi-Square Distribution Table**The table provides critical values of the Chi-Square distribution for different degrees of freedom and areas in the upper tail. The Chi-Square distribution is a probability distribution often used in hypothesis testing and data analysis, such as the chi-square test for independence.**Graph Explanation:**- The graph at the top displays a chi-square distribution curve.- The horizontal axis represents the values of \( x^2 \).- The shaded area under the curve, to the right of \( x^2 \), indicates the "Area or probability" in the upper tail.**Table Data:**- **Columns:** - The first column lists the "Degrees of Freedom," ranging from 1 to 100. - The subsequent columns show critical values corresponding to different areas in the upper tail (\(.99\), \(.975\), \(.95\), \(.90\), \(.10\), \(.05\), \(.025\), \(.01\)).- **Rows:** - Each row corresponds to a specific degree of freedom. - The values represent the critical chi-square values for the specified areas in the upper tail.**Example from the Table:**For 5 degrees of freedom:- The chi-square value for an area of \(0.05\) in the upper tail is \(11.070\).- For an area of \(0.01\), the value is \(15.086\).**Note:**- A more extensive table is available online, as mentioned in Table 3 of Appendix B.

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Amazon.com is testing the use of drones to deliver packages for same-day delivery. In order to quote narrow time windows, the variability in delivery times must be sufficiently small. Consider a sample of 25 drone deliveries with sample variance of s² = 0.77. a. Construct a 90% confidence interval estimate of the population variance for the drone delivery time (to 2 decimals). Use Table 11.1. b. Construct a 90% confidence interval estimate of the population standard deviation (to 2 decimals). Use Table 11.1. sos

Amazon.com is testing the use of drones to deliver packages for same-day delivery. In order to quote narrow time windows, the variability in delivery times must be sufficiently small. Consider a sample of 25 drone deliveries with sample variance of s² = 0.77. a. Construct a 90% confidence interval estimate of the population variance for the drone delivery time (to 2 decimals). Use Table 11.1. b. Construct a 90% confidence interval estimate of the population standard deviation (to 2 decimals). Use Table 11.1. sos

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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