Answered: A random sample of n1 = 14 winter days…

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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A random sample of n₁ = 14 winter days in Denver gave a sample mean pollution index x₁ = 43. Previous studies show that ?₁ = 21. For Englewood (a suburb of Denver), a random sample of n₂ = 16 winter days gave a sample mean pollution index of x₂ = 35. Previous studies show that ?₂ = 17. Assume the pollution index is normally distributed in both Englewood and Denver.

What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference ?₁ − ?₂. Round your answer to two decimal places.)

(iii) Find (or estimate) the P-value. (Round your answer to four decimal places.)

(b) Find a 99% confidence interval for ?₁ − ?₂. (Round your answers to two decimal places.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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