Shelby is skeptical of her friend's claim that Gerald's Caf has much stronger coffee (in terms of caffeine content) than Sabine's Beans does. So Shelby takes a random sample of large coffees from both shops, and measures the amount of caffeine content in each coffee. Here is a summary of the results:

Sabine's Beans - Mean= 162mg; standard deviation = 4.9mg; N cups = 35

Gerald's Cafet - Mean = 173mg; Standard deviation = 3.3mg; N cups = 33

1. Clearly state null and alternative hypothesis in both notation form and your own words

2. Define the critical t-value with an alpha level .01 (99% confidence)

3. Calculate sample statistics: T-obtained and SE

4. Reach a decision by comparing z-obt and z-crit

5. Fully interpret the findings in terms of the conceptual example