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High cholesterol is one of the major risk factors for heart disease. A total cholesterol reading above 230 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. 234 230 244 225 244 245 241 233 234 241 232 235 Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 230 mg/dL, using a significance level of 2.5%. 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 H1: ? v Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed O left-tailed O two-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. 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 230 mg/dL. O The sample data provide sufficient evidence to reject the null hypothesis that the mean cholesterol level of the patient is not more than 230 mg/dL and thus we conclude that it is likely the patient has sustained high cholesterol.

High cholesterol is one of the major risk factors for heart disease. A total cholesterol reading above 230 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. 234 230 244 225 244 245 241 233 234 241 232 235 Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 230 mg/dL, using a significance level of 2.5%. 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 H1: ? v Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed O left-tailed O two-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. 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 230 mg/dL. O The sample data provide sufficient evidence to reject the null hypothesis that the mean cholesterol level of the patient is not more than 230 mg/dL and thus we conclude that it is likely the patient has sustained high cholesterol.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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High cholesterol is one of the major risk factors for heart disease. A total cholesterol reading above 230 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. 234 230 244 225 244 245 241 233 234 241 232 235 Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 230 mg/dL, using a significance level of 2.5%. 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 H1:? v Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed O left-tailed O two-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 (2) 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. 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 230 mg/dL. O The sample data provide sufficient evidence to reject the null hypothesis that the mean cholesterol level of the patient is not more than 230 mg/dL and thus we conclude that it is likely the patient has sustained high cholesterol.
Transcribed Image Text:High cholesterol is one of the major risk factors for heart disease. A total cholesterol reading above 230 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. 234 230 244 225 244 245 241 233 234 241 232 235 Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 230 mg/dL, using a significance level of 2.5%. 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 H1:? v Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed O left-tailed O two-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 (2) 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. 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 230 mg/dL. O The sample data provide sufficient evidence to reject the null hypothesis that the mean cholesterol level of the patient is not more than 230 mg/dL and thus we conclude that it is likely the patient has sustained high cholesterol.
234 230 244 225 244 245 241 233 234 241 232 235 Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 230 mg/dL, using a significance level of 2.5%. 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. O right-tailed O left-tailed O two-tail Should the standard normal (2) 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. 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 230 mg/dL. O The sample data provide sufficient evidence to reject the null hypothesis that the mean cholesterol level of the patient is not more than 230 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 null hypothesis that the mean cholesterol level of the patient is not more than 230 mg/dL and thus we conclude that it is likely the patient does not currently have 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 230 mg/dL.
Transcribed Image Text:234 230 244 225 244 245 241 233 234 241 232 235 Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 230 mg/dL, using a significance level of 2.5%. 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. O right-tailed O left-tailed O two-tail Should the standard normal (2) 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. 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 230 mg/dL. O The sample data provide sufficient evidence to reject the null hypothesis that the mean cholesterol level of the patient is not more than 230 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 null hypothesis that the mean cholesterol level of the patient is not more than 230 mg/dL and thus we conclude that it is likely the patient does not currently have 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 230 mg/dL.
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