High cholesterol is one of the major risk factors for heart disease A total cholesterol reading above 250 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 12 weeks for a blood lipid screening The results of the 12 measurements are listed below 25 252 254 256 246 250 243 260 258 254 241 249 243 Use the critical value method to test the hypothesis that the patient s cholesterol level is greater than 250 mg dL using a 0 025 Assume that the distribution of all cholesterol measurements from this patient is approximately normally distributed State the null and alternative hypothesis for this test Ho V H V Determine if this test is left tailed right tailed or two tailed Oright tailed Oleft tailed Otwo tailed Should the standard normal z distribution or Student s t distribution be used for this test O The Student s t distribution should be used O 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 null hypothesis that the mean cholesterol level of the patient is not more than 250 mg dL and thus we conclude that it is likely the patient has sustained high cholesterol O 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 250 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 250 mg dL and thus we conclude that it is likely the patient does not currently have sustained high cholesterol O 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 250 mg dL