Use Hypothesis Testing where Sigma is Unknown to do :

1. Create a scenario with unique numbers and write it in narrative format like the following example (make up your own numbers and confidence levels): EX: A recent study showed that residential customers in the United States consumed 909 kilowatt hours of electricity each month. Using a sample of 100 residential customers from the state of California, the mean monthly usage was 935 kilowatt hours with a standard deviation 65 kilowatt hours. Is this sufficient statistical evidence to claim that the mean monthly kilowatt hours in California is above the national average at the 95% confidence level?
2. Formulate and list the opposing hypothesis
3. Use both the critical value approach and p-value approach to conduct the test. (e.g. alpha = .05)
4. Specify the formulas (including test statistics value, critical value (CV), p-value)
5. Specify the decision rule and conclude (e.g. reject the Null hypothesis or fail to the reject the Null hypothesis - explain why?)