Mathematics, 27.07.2021 15:50 officialrogerfp3gf2s

The Environmental Protection Agency (EPA) is concerned about pollution caused by factories that burn sulfur-rich fuel. In order to decrease the impact on the environment, factory chimneys must be high enough to allow pollutants to dissipate over a larger area. Assume that the mean height of chimneys in these factories is 100 meters (an EPA acceptable height) with standard deviation 12 meters. A random sample of 40 chimney heights is obtained. Required:
a. What is the probability that the sample mean height for the 40 chimneys is greater than 102 meters?
b. What is the probability that the sample mean height is between 101 and 103 meters?

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