A random sample of n1 = 12 winter days in Denver gave a sample mean pollution index of x1 = 43. Previous studies show that σ1 = 21. For a suburb of Denver, a random sample of n2 = 14 winter days gave a sample mean pollution index of x2 = 36. Previous studies show that σ2 = 15. Assume the pollution index is normally distributed in both the suburb and Denver. Do these data indicate that the mean pollution index of the suburb is different (either way) from that of Denver in the winter. Use a 1% level of significance.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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A random sample of n₁ = 12 winter days in Denver gave a sample mean pollution index of x₁ = 43. Previous studies show that σ₁ = 21. For a suburb of Denver, a random sample of n₂ = 14 winter days gave a sample mean pollution index of x₂ = 36. Previous studies show that σ₂ = 15. Assume the pollution index is normally distributed in both the suburb and Denver. Do these data indicate that the mean pollution index of the suburb is different (either way) from that of Denver in the winter. Use a 1% level of significance.

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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