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Students t test for hypothesis testing

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The average electric bill for residents of Anderson creek is at least 52.98 per month. Develop the appropriate null and alternative hypothesis. What is the type I error in this situation? What is the type II error in this situation?

Full time PhD students receive an average salary of 12, 837 according to the US Department of Education. The dean of a graduate studies department at a large university feels that PhD students in his state earn more than this. He surveys 44 randomly selected students and finds their average salary is 14,445 with a standard deviation of 1,500. With ?=.05, is the dean correct?

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Solution Summary

The solution gives complete steps for comparing average salary of PhD Students of two institution. Interpretations of type I and Type II errors are also given.

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The average electric bill for residents of Anderson creek is at least 52.98 per month. Develop the appropriate null and alternative hypothesis. What is the type I error in this situation? What is the type II error in this situation?

Answer

The null hypothesis under consideration is

H0: The average electric bill for residents of Anderson creek is at least 52.98 per month

The alternative hypothesis is

H1: The average electric bill for residents of Anderson creek is less than 52.98 per month.

Type I Error: The error committed ...

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