Need explanation and six step hypothesis answers

Many doctors recommend having a total cholesterol level below 200 mg/dl. Do college students meet the recommendations of doctors? A sample of 20 JCC students have their cholesterol measured with the results shown below.

184 214 173 165 239 170 174 194 223 209 219 184 171 208 177 189 199 208 168 167

a. Use the critical region approach to determine if the sample suggests that college students at JCC fall within the recommended cholesterol levels suggested by doctors. Use a significance level of 0.05. Show all 6 steps of the hypothesis test.

b. What are the assumptions made when performing this hypothesis test.

c. Use Minitab to determine the p-value for this test using the sample. Explain how the p-value can be used to make a decision of the null hypothesis.