### Candy Weight Distribution and Confidence Interval Analysis#### Data Overview:The image presents data collected from a sample of 42 candies, out of which 10 are red. The candy manufacturer claims that 30% of its candies are red. Using this sample data, a 90% confidence interval estimate of the percentage of red candies needs to be constructed to evaluate the accuracy of the manufacturer's claim.#### Task:**Construct a 90% confidence interval for the proportion of red candies:**\[ \_\_ \% < p < \_\_ \% \](Type an integer or decimal rounded to one decimal place as needed.)#### Question:**Is the claim consistent with the 30% rate reported by the candy maker?**- **Option A:** No, because the confidence interval does not include 30%.- **Option B:** Yes, because the confidence interval includes 30%.#### Table Analysis:The table displays the weights (in grams) of a sample bag of candy distributed into five color categories—Red, Blue, Brown, Green, and Yellow.| Weight (g) | Red | Blue | Brown | Green | Yellow ||------------|------|------|-------|-------|--------|| Sample 1 | 0.927| 0.941| 0.826 | 0.977 | 0.782 || Sample 2 | 0.911| 0.752| 0.994 | 0.962 | 0.902 || Sample 3 | 0.801| 0.722| 0.884 | 0.766 | 0.803 || Sample 4 | 0.945| 0.835| 0.732 | 0.729 | 0.985 || Sample 5 | 0.941| 0.906| 0.936 | 0.817 | 0.978 || Sample 6 | 0.702| 0.968| 0.968 | 0.844 | 0.905 || Sample 7 | 0.767| 0.718| 0.936 | 0.911 | 0.992 || Sample 8 | 0.793| 0.828| 0.868 | 0.962 | 0.928

we have given that Total number of candies n=42 Let X denotes the number of red candies which are:…

Answered: The data given to the right includes…

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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