SCENARIO 15-3 A chemist employed by a pharmaceutical firm has developed a muscle relaxant.She took a sample of 14 people suffering from extreme muscle constriction.She gave each a vial containing a dose (X)of the drug and recorded the time to relief (Y)measured in seconds for each.She fit a curvilinear model to this data.The results obtained by Microsoft Excel follow SUMMARY OUTPUT
-Referring to Scenario 15-3, suppose the chemist decides to use an F test to determine if there is a significant curvilinear relationship between time and dose.If she chooses to use a level of significance of 0.05, she would decide that there is a significant curvilinear relationship.

Question

SCENARIO 15-3 A chemist employed by a pharmaceutical firm has developed a muscle relaxant.She took a sample of 14 people suffering from extreme muscle constriction.She gave each a vial containing a dose (X)of the drug and recorded the time to relief (Y)measured in seconds for each.She fit a curvilinear model to this data.The results obtained by Microsoft Excel follow SUMMARY OUTPUT   
-Referring to Scenario 15-3, suppose the chemist decides to use an F test to determine if there is a significant curvilinear relationship between time and dose.If she chooses to use a level of significance of 0.05, she would decide that there is a significant curvilinear relationship.

Quizplus · Accepted Answer

The p-value for the F-test of overall significance is less than 0.05, indicating a significant curvilinear relationship between time and dose. Therefore, the chemist would decide that there is a significant curvilinear relationship. The p-value for the F-test in the ANOVA table is 0.0025, which is less than the level of significance of 0.05. Therefore, the chemist would decide that there is a significant curvilinear relationship between time and dose.

SCENARIO 15-3 a Chemist Employed by a Pharmaceutical Firm Has