1. Aminah wishes to perform the hypothesis testing H_o: =1 versus H₁:<1 with the sample size of 25 was obtained independently from a population standard deviation 10. state distribution mean given that null hypothesis is true and find critical value, then calculate values if she rejects hypothesis. finally, compute p-value, if the sample mean is -2. (10 marks)
2. In one of the hypothesis studies, Robin considers increasing the alpha level. Briefly explain the effect on the Type I and Type II errors together with the probability of whether he should reject the null hypothesis. (5 marks)