## Type I/Type II error

Problem:

There are water samples being taken from water released into a stream used from cooling a power plan (50 water samples). The stream's ecosystem will have no effect if the discharged water is at most 150 degrees Fahrenheit.

Null Hypothesis:
Ho: = 150 degrees Fahrenheit

Alternative Hypothesis:
Ha: > 150 degrees Fahrenheit

Questions:
In the context of this example, describe Type I and Type II errors. Which type of error would you consider more serious? Explain.

Attempted Solutions:
Type I error: Conclude that the average temperature is more than 150 degrees fahrenheit when it is really less than 150 degrees

Type II error: Conclude that the average temperature is less than 150 degrees fahrenheit when it is really more than 150 degrees

I would say that one that is most serious is the Type II since the readings will say that the temperature is not over 150, and the stream will be affected since is is a false negative and there will not be anything done to prevent the ecosystem of the stream if it is believed to be at an okay temperature level.

Could someone please check this for me, thanks!