A hypothesis test is to be performed with a Null hypothesis Ho: Âµ â‰¤ 20 and...

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A hypothesis test is to be performed with a Null hypothesisH_o: Âµ â‰¤ 20 and an alternativehypothesis H₁: Âµ >20,Â Â the population standard deviationis Ïƒ=3.0, the sample size is;n=30, and the significance level isÎ±=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.Â Â What value would the sample mean have to begreater than to reject Ho? (answer must be 3dp)
5.Â Â It is unknown to the technician making the test,but the real value of Âµ=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

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we have to test thatwe have given thatPopulation SD30 sample sizen30 significance level 00251Type 1 error is defined as rejecting Null hypothesis while inactual null hypothesis is truesob See Answer

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