Question

A.

SOLUTION:-

Given data,

?0:? = 17

?1:? < 17

? = 0.05

? = −1.62.

From z table p value is 0.0526

What is your decision:-

P>?

So, we can fail to reject ?0

Using your answer from part a, If the true value of ? is 17, is the result a Type I error, a Type II error or a correct decision? Using your answer from part a, If the true value of ? is 10, is the result a Type I error, a type II error, or a correct decision?

Answer 1

If true value of mu is 17 then it is a correct decision because from part a, it can be seen that we are failing to reject null hypothesis i.e. mu=17.

If true value of mu is 10 then it is type II error because here we are accepting the null hypothesis but alternative hypothesis is true.