you have a normal distribution with σ = 1.

you wish to test the following hypotheses:

h0: μ = 0
ha: μ > 0

you decide to reject h0 if x > 0.

a) find the probability of type i error.
b) describe a type ii error in this scenario

a)

The probability of type I error is 0.5

b)

Type II error is an error committed when we fail to reject a false null hypothesis. The probability of Type II error is beta and 1 -beta gives the power of a test.

Step-by-step explanation:

The probability of a Type I error is the probability of rejecting the null hypothesis when it is actually true. In this case;

pr(x>0 / mu =0)

If the mean is 0 and sigma 1 then x has the standard normal distribution. Now, if  x has the standard normal distribution then  pr(x>0) = 0.5 since the standard normal distribution curve is symmetric about the mean which in this case is 0.

won't that be plagrisim thought?

step-by-step explanation: