A hypothesis test is to be performed with a Null hypothesisHo: µ ≤ 20 and an alternativehypothesis H1: µ >20,  the population standard deviationis σ=3.0, the sample size is;n=30, and the significance level isα=0.025.
1) what is a type l error?
a. reject h0 when h0 is incorrect
b. reject h0 when h0 is correct
c. do not reject h0 when h0 is incorrect
d. do not reject h0 when h0 is correct
2) What is the chance of making a type I error in the abovetest?
a. 0.050
b. 0.0250
c. 0.0125
d. 0.1000
3. What is a type ll error?
a. reject h0 when h0 is incorrect
b. reject h0 when h0 is correct
c. do not reject h0 when h0 is incorrect
d. do not reject h0 when h0 is correct
4.  What value would the sample mean have to begreater than to reject Ho? (answer must be 3dp)
5.  It is unknown to the technician making the test,but the real value of µ=22.
What is the probability that a Type II error occurs?
6. In a word what will happen to the Type II error if the samplesize increases to 60 and all else remains unchanged. Including theanswer to question (4)
a. increase
b. decrease
