Two different areas of large eastern city are being considered as sites for day care centers. Of 200 households surveyed in one section, the proportion in which the mother worked full time was 0.52. In another section, 40 % of the 150 households surveyed had mothers working at full time jobs. At the 0.04 level of significance, is there a significant difference in the proportions of working mothers in the two areas of the city? A coal fired power plant is considering two different systems for pollution abatement .The first system has reduced the emission of the pollutants to acceptable levels 68 percent of the time, as determined from 200 air samples. The second, more expensive system has reduced the emission of pollutants to acceptable levels 76 percent of the time, as determined from 250 air samples. If the expensive system is significantly more effective than the inexpensive system in reducing pollutants to acceptable levels, then the management of the power plant will install the expensive system. Which system will be installed if management uses a significance level of 0.02 in making its decision?

MATLAB: An Introduction with Applications
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  1. Two different areas of large eastern city are being considered as sites for day care centers. Of 200 households surveyed in one section, the proportion in which the mother worked full time was 0.52. In another section, 40 % of the 150 households surveyed had mothers working at full time jobs. At the 0.04 level of significance, is there a significant difference in the proportions of working mothers in the two areas of the city?

  2. A coal fired power plant is considering two different systems for pollution abatement .The first system has reduced the emission of the pollutants to acceptable levels 68 percent of the time, as determined from 200 air samples. The second, more expensive system has reduced the emission of pollutants to acceptable levels 76 percent of the time, as determined from 250 air samples. If the expensive system is significantly more effective than the inexpensive system in reducing pollutants to acceptable levels, then the management of the power plant will install the expensive system. Which system will be installed if management uses a significance level of 0.02 in making its decision?

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