Consider the errors in testing, Type I (alpha) and Type II (beta). Read through

Question

Consider the errors in testing, Type I (alpha) and Type II (beta). Read through the following information and discuss both errors within the context of the problem. Make sure you include the definitions of both errors and describe both errors using the context from the problem. Paint Drying Times The drying time of a certain type of paint under specific test conditions follows an approximate normal distribution, with mean 75 minutes and standard deviation 9 minutes. Chemists have proposed a new additive designed to decrease the average drying time of the paint and conduct an experiment to test the drying time of the paint with the new additive to see if there was a deacrease. The hypotheses tested are: H_0: mu = 75 H_a: mu

Explanation / Answer

Type I error is the error when we reject a true null hypothesis.

In the context it means that it is true that the mean drying time is 75 minutes but we reject the clam.

Type II error is the error when we fail to reject the null hypothesis which is not true. In the given context the mean drying time is not 75 minutes but we fail to reject it. And conclude that it's 75 minutes

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