Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n1 = 38 U.S. cities. The sample mean for these cities showed that x1 = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n2 = 37 U.S. cities. The sample mean for these cities showed that x2 = 18.1% of the young adults had attended college. From previous studies, it is known that ?1 = 6.4% and ?2 = 4.8%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05.(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)A random sample of n1 = 12 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 15. For Englewood (a suburb of Denver), a random sample of n2 = 16 winter days gave a sample mean pollution index of x2 = 37. Previous studies show that ?2 = 11. 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.What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)=___ (c)Find (or estimate) the P-value. (Round your answer to four decimal places.)=__

We have given that Sample size n1= 38 , n2= 37 Sample mean x1 = 0.152 , x2= 0.181 Known standard…

Answered: Education influences attitude and…

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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Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n₁ = 38 U.S. cities. The sample mean for these cities showed that x₁ = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n₂ = 37 U.S. cities. The sample mean for these cities showed that x₂ = 18.1% of the young adults had attended college. From previous studies, it is known that ?₁ = 6.4% and ?₂ = 4.8%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05.

A random sample of n₁ = 12 winter days in Denver gave a sample mean pollution index x₁ = 43. Previous studies show that ?₁ = 15. For Englewood (a suburb of Denver), a random sample of n₂ = 16 winter days gave a sample mean pollution index of x₂ = 37. Previous studies show that ?₂ = 11. 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.

What is the value of the sample test statistic? (Test the difference ?₁ − ?₂. Round your answer to two decimal places.)=___

(c)Find (or estimate) the P-value. (Round your answer to four 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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