Business Statistics 2 Business Statistics 2 STAT 222 FALL 2017 Group Homework (m
ID: 3361287 • Letter: B
Question
Business Statistics 2 Business Statistics 2 STAT 222 FALL 2017 Group Homework (maximum 3 people per group) Due date: Sunday 19 November 2017 Instructions: Complete the task below by class time and submit hard copies only, and in class. There will be no extension of due date. All homework not submitted on time will incur a late penalty of 20 percent per day Tasks: A pharmaceutical manufacturer has been researching new medications formulas to provide quicker relief of arthritis pain. Their laboratories have produced three different medications and they want to determine if the different medications produce different responses. Fifteen people who complained of arthritis pains were recruited for an experiment; five were randomly assigned to each medication. Each person was asked to take the medicine and report the length of time until some relief was felt (minutes). The results are shown below. (Assume normal distributions with equal variances.) Time in Mintes Unitil Reliefis Fel icationMedication Medication 3 1. How many factors are in this experiment? Name it/them. (2 points) 2. What is the response variable in this experiment? Name it/them. (2 points) 3. Set up the ANOVA Table. Use = 0.05 to determine the critical valuc. Is there sufficient evidence to conclude that the means different? (6 points)Explanation / Answer
One-way ANOVA: medication versus factor
Source DF SS MS F P
factor 2 14.53 7.27 1.77 0.212
Error 12 49.20 4.10
Total 14 63.73
S = 2.025 R-Sq = 22.80% R-Sq(adj) = 9.94%
1) there are 3 factors in experiments( types of medications)
2) response is observed value of medications
medication
4
5
6
7
8
2
7
3
8
5
5
8
9
9
6
3) here critical value is F2,12,0.05=3.88
and obserbed F=1.77<F2,12,0.05=3.88
hence no effect of medication that is no significant effect of medications
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