High cholesterol is one of the major risk factors for heart disease. A total cholesterol reading above 225 mg/dL is considered high. A physician is concerned that a patient may be at risk for high cholesterol. In order to accurately measure the patient's average cholesterol level, the physician instructs the patient to come into the physician's office once a week for 8 weeks for a blood lipid screening. The results of the 8 measurements are listed below.

226

225

230

228

228

218

229

231

Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 225 mg/dL, using =0.1 Assume that the distribution of all cholesterol measurements from this patient is approximately normally distributed. State the null and alternative hypothesis for this test. H0:? = > < p = p p p p > p < H1:? = > < p = p p p p > p < Determine if this test is left-tailed, right-tailed, or two-tailed.

• right-tailed
• two-tailed
• left-tailed

Should the standard normal (z) distribution or Student's (t) distribution be used for this test?

• The Student's t distribution should be used
• The standard normal (z) distribution should be used

Determine the critical value(s) for this hypothesis test. Round the solution(s) to four decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. Determine the test statistic. Round the solution to four decimal places. Determine the appropriate conclusion for this hypothesis test.

• The sample data provide sufficient evidence to reject the alternative hypothesis that the patient has sustained high cholesterol and thus we conclude that the patient's cholesterol level is likely at or below 225 mg/dL.
• The sample data do not provide sufficient evidence to reject the alternative hypothesis that the patient has sustained high cholesterol and thus we conclude that the patient's cholesterol level is likely above 225 mg/dL.
• The sample data do not provide sufficient evidence to reject the null hypothesis that the mean cholesterol level of the patient is not more than 225 mg/dL and thus we conclude that it is likely the patient does not currently have sustained high cholesterol.
• The sample data provide sufficient evidence to reject the null hypothesis that the mean cholesterol level of the patient is not more than 225 mg/dL and thus we conclude that it is likely the patient has sustained high cholesterol.