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 225 mg/dL. 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 225 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 225 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 225 mg/dL and thus we conclude that it is likely the patient does not currently have sustained high cholesterol.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
226 233 236 229 230 221 233 233
Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 225
mg/dL, using a significance level of 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.
Ho:? v
H₁: ? ✓
Determine if this test is left-tailed, right-tailed, or two-tailed.
Oright-tailed
Otwo-tailed
Oleft-tailed
CL-..IJ 1L _ _-_J_..J ------1 Im JiL.... ....J_-)- 74\
J:LL..:____ -- -- +-+--13
76°F
c
G
Transcribed Image Text: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. 226 233 236 229 230 221 233 233 Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 225 mg/dL, using a significance level of 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. Ho:? v H₁: ? ✓ Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed Otwo-tailed Oleft-tailed CL-..IJ 1L _ _-_J_..J ------1 Im JiL.... ....J_-)- 74\ J:LL..:____ -- -- +-+--13 76°F c G
O The standard normal (z) distribution should be used
O The Student's t 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 225 mg/dL.
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 225 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 225 mg/dL and thus we conclude that it is likely the patient has
sustained high cholesterol.
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.
FI
76°F
Mostly clear
Transcribed Image Text:O The standard normal (z) distribution should be used O The Student's t 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 225 mg/dL. 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 225 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 225 mg/dL and thus we conclude that it is likely the patient has sustained high cholesterol. 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. FI 76°F Mostly clear
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman