**Construct a Normal Probability Plot for Low-Viscosity Paint Coating Thickness**You are provided with a sample of observations for the coating thickness of low-viscosity paint. The goal is to construct a normal probability plot for these observations.**Sample Observations**:- Group 1: 0.82, 0.87, 0.88, 1.03, 1.11, 1.12, 1.29, 1.30- Group 2: 1.48, 1.48, 1.61, 1.63, 1.64, 1.72, 1.74, 1.85**Instructions**: Use statistical tools as needed to determine the z percentile associated with each sample observation. Round your answers to two decimal places. **Sample Observations with Corresponding z Percentiles**:- 0.82: z percentile = -1.86 - 0.87: z percentile = -1.34 (Note: One of the entries has been marked correct and another incorrect in a hypothetical scenario for learning purposes.)**Graphs/Diagrams**:There are no specific graphs or diagrams attached to this exercise. You are expected to further analyze these datasets, potentially using digital tools to plot the data on a normal distribution curve and ascertain the fit.

Given: Data (x) 0.82 0.87 0.88 1.03 1.11 1.12 1.29 1.3 1.48 1.48 1.61…

Answered: Construct a normal probability plot for…

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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Consider the following sample of observations on coating thickness for low-viscosity paint: 0.83 0.88 0.88 1.04 1.09 1.12 1.29 1.31 1.48 1.49 1.59 1.62 1.65 1.71 1.76 1.83 Assume that the distribution is normal. A. Calculate a point estimate of the mean value of coating thickness B. Estimate P[X < 1.5], the proportion of all thickness values less than 1.5. (Hint: Estimate u and o first) C. What is the estimated standard error used in the first question? Ans. A. 1.3481 B. 0.6736 C. 0.0846
Answe part d and e
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Question Five The management of a supermarket wants to adopt a new promotional policy of giving free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditure for all customers at this supermarket will be normally distributed with mean 400 £ and a variance of 900 £?. 1) If the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift? 2) In a sample of 100 customers, what are the number of customers whose expenditure is between 420 £ and 485 £? 3) What is a probability of selecting a customer whose expenditure is differ than the population mean expenditure by at most 50 £? 4) In a sample of 49 customers, what are the number of customers whose mean expenditure is at least 410 £? 5) What is the probability that the expenditure of the first customer exceeds the…

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