Answered: Analyze and answer the following…

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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Transcribed Image Text:**Homework Assignment - Statistical Analysis** Analyze and answer the following problems. Show your complete solutions. --- **Problem 1: Testing Paint Durability** A testing lab wishes to test two experimental outdoor paint brands to see how long each paint will last before fading. The testing lab uses 6 gallons of paint for each brand name to test. The results (in months) are as follows: | | A | B | C | D | E | F | |-----------|----|----|----|----|----|----| | **Brand A** | 10 | 60 | 50 | 30 | 40 | 20 | | **Brand B** | 35 | 45 | 30 | 35 | 40 | 25 | **Tasks:** a. Calculate the variance, mean deviation, and standard deviation for Brand A. b. Calculate the variance, mean deviation, and standard deviation for Brand B. c. Identify which brand performed more consistently. d. Determine which brand shows more variability. --- **Problem 2: Analysis of Students' Test Scores** There were 12 boys and 13 girls in a class of 25 students, who were given a test. The mean mark for the 12 boys was 31 and the standard deviation of the boys was 6.2. The mean mark for the girls was 36 and the standard deviation of the girls’ mark was 4.3. Find the mean mark and the standard deviation of the marks of the whole class of 25 students. --- **Detailed Explanation for Diagrams (if any):** There are no graphs or diagrams provided in the problems above. These problems are designed to test your understanding of statistical measures including mean, variance, mean deviation, and standard deviation. Carefully follow the formulas for each measure to compute the values correctly. For Problem 2, utilize the concept of combined mean and pooled variance for groups with different sizes. --- This homework assignment requires you to apply statistical concepts to practical scenarios. Complete your solutions with step-by-step calculations to demonstrate your understanding of the topics.

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