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The environmental agency from Homework 5 is asking for your .pdf

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The environmental agency from Homework 5 is asking for your help (again). Recall that the environmental agency assumes that the amount of microorganisms, X, is normally distributed: XN( =10,=0.75). After you reported the results of your data analysis from Homework 5, you were able to convince the environmental agency to conduct more tests to confirm their estimates. Ten independent samples were taken from random locations, and the average amount of microorganisms of the ten samples was 11 . The agency was satisfied because 11 is close enough to their estimate of 10 . However, you are taking CE 93 and you know better (clearly those working at the agency went to Stanford). (a) What is the probability that the average of the ten samples is 11 or greater, P(X11), if the assumed distribution by the agency, XN(=10,=0.75), is actually true? [0.75] (b) Based on the calculated probability above, what should you inform the environmental agency regarding their assumed parameters? [0.25].

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The environmental agency from Homework 5 is asking for your help (again). Recall that the environmental agency assumes that the amount of microorganisms, X, is normally distributed: XN( =10,=0.75). After you reported the results of your data analysis from Homework 5, you were able to convince the environmental agency to conduct more tests to confirm their estimates. Ten independent samples were taken from random locations, and the average amount of microorganisms of the ten samples was 11 . The agency was satisfied because 11 is close enough to their estimate of 10 . However, you are taking CE 93 and you know better (clearly those working at the agency went to Stanford). (a) What is the probability that the average of the ten samples is 11 or greater, P(X11), if the assumed distribution by the agency, XN(=10,=0.75), is actually true? [0.75] (b) Based on the calculated probability above, what should you inform the environmental agency regarding their assumed parameters? [0.25]

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  • 1. The environmental agency from Homework 5 is asking for your help (again). Recall that the environmental agency assumes that the amount of microorganisms, X, is normally distributed: XN( =10,=0.75). After you reported the results of your data analysis from Homework 5, you were able to convince the environmental agency to conduct more tests to confirm their estimates. Ten independent samples were taken from random locations, and the average amount of microorganisms of the ten samples was 11 . The agency was satisfied because 11 is close enough to their estimate of 10 . However, you are taking CE 93 and you know better (clearly those working at the agency went to Stanford). (a) What is the probability that the average of the ten samples is 11 or greater, P(X11), if the assumed distribution by the agency, XN(=10,=0.75), is actually true? [0.75] (b) Based on the calculated probability above, what should you inform the environmental agency regarding their assumed parameters? [0.25]