Question: A sample of 40 observations is selected from one normally distributed population - the sample mean is 102 and the sample standard deviation is 5. A sample of 50 observations is selected from a second normally distributed population – the sample mean is 99 and the sample standard deviation is 6. We want to know if these two groups could possibly be from the same population. Conduct a hypothesis test using the 0.04 significance level:

(a) State the Null & Alternate Hypotheses

(b) Formulate the decision rule

(c) Decide upon the test statistic & calculate it – showing your calculations clearly

(d) Say if you reject or do not reject the Null Hypothesis