2.The district superintendent of Orange County schools believes that the secondgraders in her school district have greater math skills than the national averagecore of 55. A random sample of 44 second graders in the Orange County schoolsare given a national standardized mathematics skills test. The students' mean scorewas 64. Previous runs of these tests indicate that the population standarddeviation, o, is 12. Use a 1% level of significance to test the superintendent's claim.

Given,sample size(n)=44sample mean(x¯)=64population standard deviation(σ)=12and α=0.01

Answered: 2. The district superintendent of…

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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Russell is doing some research before buying his first house. He is looking at two different areas of the city, and he wants to know if there is a significant difference between the mean prices of homes in the two areas. For the 39 homes he samples in the first area, the mean home price is $⁢176,400. Public records indicate that home prices in the first area have a population standard deviation of $⁢32,930. For the 32 homes he samples in the second area, the mean home price is $⁢181,500. Again, public records show that home prices in the second area have a population standard deviation of $⁢23,835. Let Population 1 be homes in the first area and Population 2 be homes in the second area. Construct a 95% confidence interval for the true difference between the mean home prices in the two areas. Round the endpoints of the interval to the nearest whole number, if necessary. Lowest Endpoint = upper Endpoint=
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