Question

A hypothesis test is to be performed with a Null hypothesis H_o: µ ≥ 15 and an alternative hypothesis H₁: µ < 15,  the population standard deviation is σ=2.0, the sample size is; n=50, and the significance level is α=0.025.

1- What is type l error?

2- What is the chance of making a type I error in the above test?

3- What is a Type II error?

4- What value would the sample mean have to be less than to reject H₀? (3dp)

5- if the real value µ=14 what is the probability that a type ll error occurs?

6- what will happen to the Type II error if the sample size decreases to 30 and all else remains unchanged. Including the answer to question 4 (Increase or Decrease)

Answer 1