A group of 10 random patients have total cholesterol level checked as below:

254 279 290 302 312 337 240 450 386

Conduct test statistics to investigate whether the average total cholesterol is equal to the healthy threshold 200 mg/dL.

(Show your work. And attach your SAS output if needed)

1. Write the null and alternative hypotheses
2. Calculate the point estimate (average systolic blood pressure)
3. Calculate standard error
4. Calculate the test statistics
5. Find the critical value
6. Find the p value
7. Interpret the result in terms of your hypotheses.