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A plant in the manufacturing sector is concerned about its sulfur dioxide emissions. The weekly sulfur...

A plant in the manufacturing sector is concerned about its sulfur dioxide emissions. The weekly sulfur dioxide emissions follow a normal distribution with a mean of 1000 ppm (parts per million) and a standard deviation of 25. Recently, a “cleaner” technology has been adopted. In such a scenario, the CEO would like to investigate whether there has been a significant change in the emissions and has hired you for advice. In other words, the CEO wants to know if the mean level of emissions is different from 1000 at the 1% level of significance. Next, suppose that you are given a sample of data on weekly sulfur dioxide emissions for that plant. The sample size is 50 and x = 1008 ppm. What is the value of the test statistic

math   Statistics-And-Probability   
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Answer #1

Solution :

Test statistic =

= ( - ) / s / n

= (1008 - 1000) / 25 / 50

=  2.263

Test statistic = 2.263

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