6. Analysis of variance has long been used in providing evidence of the effectiveness of pharmaceutical drugs. Such evidence is required before Philippine Food and Drugs Authority (PFDA) will allow a drug to be marketed. In a recent test of the effectiveness of a new sleeping pill, three groups of 25 patients each were given the following treatments. The first group was given the drug, the second group was given the placebo, and the third group was given no treatment at all. The number of minutes it took each person to fall asleep was recorded. The results are as follows: Drug group: 12 17 34 11 5 42 18 27 2 37 50 32 12 27 21 10 4 33 63 22 41 19 28 29 8 Placebo group: 44 32 28 30 22 12 3 12 42 13 27 54 56 32 37 28 22 22 24 9 20 4 13 42 67

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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6. Analysis of variance has long been used in providing evidence of the effectiveness of pharmaceutical drugs.
Such evidence is required before Philippine Food and Drugs Authority (PFDA) will allow a drug to be
marketed. In a recent test of the effectiveness of a new sleeping pill, three groups of 25 patients each
were given the following treatments. The first group was given the drug, the second group was given the
placebo, and the third group was given no treatment at all. The number of minutes it took each person to
fall asleep was recorded. The results are as follows:
Drug group:
12 17 34 11
5 42 18 27
2 37 50 32 12 27 21 10
4
33 63 22 41 19 28 29 8
Placebo group:
44 32 28 30 22 12
3 12 42 13 27 54 56 32 37 28
22 22 24
9 20
4 13 42 67
No treatment group: 32 33 21 12 15 14 55 67 72
1 44 60 36 38 49 66
89 63 23
6
9 56 28 39 59
Use Analysis of Variance to determine whether the drug is effective. Give differences in average
effectiveness, if any exist. Use a = .05.
Transcribed Image Text:6. Analysis of variance has long been used in providing evidence of the effectiveness of pharmaceutical drugs. Such evidence is required before Philippine Food and Drugs Authority (PFDA) will allow a drug to be marketed. In a recent test of the effectiveness of a new sleeping pill, three groups of 25 patients each were given the following treatments. The first group was given the drug, the second group was given the placebo, and the third group was given no treatment at all. The number of minutes it took each person to fall asleep was recorded. The results are as follows: Drug group: 12 17 34 11 5 42 18 27 2 37 50 32 12 27 21 10 4 33 63 22 41 19 28 29 8 Placebo group: 44 32 28 30 22 12 3 12 42 13 27 54 56 32 37 28 22 22 24 9 20 4 13 42 67 No treatment group: 32 33 21 12 15 14 55 67 72 1 44 60 36 38 49 66 89 63 23 6 9 56 28 39 59 Use Analysis of Variance to determine whether the drug is effective. Give differences in average effectiveness, if any exist. Use a = .05.
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