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An industrial plant claims to discharge no more than 1000 gallons of wastewater per hour, on the average, into a neighboring lake. An environmental action group decides to monitor the plant in case this limit is being exceeded. A random sample of four hours is selected over a period of a week. The observations are 1007, 2226, 2232, 2209.

Required:
a. Find the standard error.
b. To test H0:μ=1000 vs, Ha:μ>1000, find the test statistic. Use the answer from part a for the standard error.
c. Find p-value.
d. Explain how your one-sided analysis implicitly tests the broader null hypothesis that μâ¥1000.

Sagot :

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