1. A researcher has taken a random sample of 8 observation from a normal population. Sample mean and standard deviations are 75 and 50 respectively. Using the 6 steps process of hypothesis testing.
   1. Can he infer at the 10% significance level that the population mean is less than 100?
   2. Can he infer at the 10% significance level that the population mean is less than 100 if population standard deviation is 50?
   3. Review the answers in (i) and (ii) and explain why the test statistics differed.