A random sample of n1 = 18 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that σ1 = 17. For Englewood (a suburb of Denver), a random sample of n2 = 20 winter days gave a sample mean pollution index of x2 = 52. Previous studies show that σ2 = 16. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
A random sample of n1 = 18 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that σ1 = 17. For Englewood (a suburb of Denver), a random sample of n2 = 20 winter days gave a sample mean pollution index of x2 = 52. Previous studies show that σ2 = 16. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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 = 18 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that σ1 = 17. For Englewood (a suburb of Denver), a random sample of n2 = 20 winter days gave a sample mean pollution index of x2 = 52. Previous studies show that σ2 = 16. Assume the pollution index is
(a) What is the level of significance?
What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.)
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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