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A pharmaceutical company tested the impact of four cholesterol-reducing medications (denoted A, B, C and D) on people at high risk of heart attack. For this clinical trial 20 volunteers with LDL (bad) cholesterol levels of 140 mg/dl were randomly assigned to one of the four medications. The subjects were instructed to take one tablet per day for a period of three months after which their LDL levels were again measured. Below are the amounts (in mg/dl) by which the LDL levels decreased after the three month trial. | Medication A | Medication B | Medication C | Medication D 30 31 32 31.5 29 32 31.5 35 33 29 29 30.5 29.75 27 33 31 30 30.5 31.75 31 (a) Write an appropriate statistical model (to represent the responses using an appro- priate equation) to describe the above data. Describe all symbols/notations used in the model. b) Estimate the (four) group means, overall mean, and error variance (²) from the data. (c) Do the data provide sufficient evidence to indicate that at least one of the medi- cations produces a mean reduction in LDL cholesterol that is different from any of the other medications? Test at the 5% level of significance (show all working and include appropriate hypothesis statements).

A pharmaceutical company tested the impact of four cholesterol-reducing medications (denoted A, B, C and D) on people at high risk of heart attack. For this clinical trial 20 volunteers with LDL (bad) cholesterol levels of 140 mg/dl were randomly assigned to one of the four medications. The subjects were instructed to take one tablet per day for a period of three months after which their LDL levels were again measured. Below are the amounts (in mg/dl) by which the LDL levels decreased after the three month trial. | Medication A | Medication B | Medication C | Medication D 30 31 32 31.5 29 32 31.5 35 33 29 29 30.5 29.75 27 33 31 30 30.5 31.75 31 (a) Write an appropriate statistical model (to represent the responses using an appro- priate equation) to describe the above data. Describe all symbols/notations used in the model. b) Estimate the (four) group means, overall mean, and error variance (²) from the data. (c) Do the data provide sufficient evidence to indicate that at least one of the medi- cations produces a mean reduction in LDL cholesterol that is different from any of the other medications? Test at the 5% level of significance (show all working and include appropriate hypothesis statements).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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A pharmaceutical company tested the impact of four cholesterol-reducing medications (denoted A, B, C and D) on people at high risk of heart attack. For this clinical trial 20 volunteers with LDL (bad) cholesterol levels of 140 mg/dl were randomly assigned to one of the four medications. The subjects were instructed to take one tablet per day for a period of three months after which their LDL levels were again measured. Below are the amounts (in mg/dl) by which the LDL levels decreased after the three month trial. | Medication A | Medication B | Medication C Medication D 31 30 31 30 32 31.5 32 35 29 30.5 29.75 27 33 30.5 31.75 31 29 31.5 33 29 (a) Write an appropriate statistical model (to represent the responses using an appro- priate equation) to describe the above data. Describe all symbols/notations used in the model. (b) Estimate the (four) group means, overall mean, and error variance (²) from the data. (c) Do the data provide sufficient evidence to indicate that at least one of the medi- cations produces a mean reduction in LDL cholesterol that is different from any of the other medications? Test at the 5% level of significance (show all working and include appropriate hypothesis statements).
Transcribed Image Text:A pharmaceutical company tested the impact of four cholesterol-reducing medications (denoted A, B, C and D) on people at high risk of heart attack. For this clinical trial 20 volunteers with LDL (bad) cholesterol levels of 140 mg/dl were randomly assigned to one of the four medications. The subjects were instructed to take one tablet per day for a period of three months after which their LDL levels were again measured. Below are the amounts (in mg/dl) by which the LDL levels decreased after the three month trial. | Medication A | Medication B | Medication C Medication D 31 30 31 30 32 31.5 32 35 29 30.5 29.75 27 33 30.5 31.75 31 29 31.5 33 29 (a) Write an appropriate statistical model (to represent the responses using an appro- priate equation) to describe the above data. Describe all symbols/notations used in the model. (b) Estimate the (four) group means, overall mean, and error variance (²) from the data. (c) Do the data provide sufficient evidence to indicate that at least one of the medi- cations produces a mean reduction in LDL cholesterol that is different from any of the other medications? Test at the 5% level of significance (show all working and include appropriate hypothesis statements).
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