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:

1. State the Null & Alternate Hypotheses
2. Formulate the decision rule
3. Decide upon the test statistic & calculate it – showing your calculations clearly
4. Say if you reject or do not reject the Null Hypothesis

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