In the development of new drugs for the treatment of anxiety, it is important to
ID: 3131698 • Letter: I
Question
In the development of new drugs for the treatment of anxiety, it is important to check the drug's effects on various motor functions, one of which is driving. The Confab Pharmaceutical Company is testing four different tranquilizing drugs for their effects on driving skill. Subjects take a simulated driving test, and their scores reflect their error. The more severe errors lead to higher scores. The results of these tests produced in the following table.
Drug 1
Drug 2
Drug 3
Drug 4
ni
4
4
5
5
246
273
230
244
Si
8.37
6.06
10.42
6.63
Management would like to know if the four drugs affect the driving skill differently. State the appropriate null and alternative hypothesis
Select one:
D. H0:P1=P2=P3=P4 AND Ha P's are different
In the development of new drugs for the treatment of anxiety, it is important to check the drug's effects on various motor functions, one of which is driving. The Confab Pharmaceutical Company is testing four different tranquilizing drugs for their effects on driving skill. Subjects take a simulated driving test, and their scores reflect their error. The more severe errors lead to higher scores. The results of these tests produced in the following table.
Drug 1
Drug 2
Drug 3
Drug 4
ni
4
4
5
5
246
273
230
244
Si
8.37
6.06
10.42
6.63
Select one:
A. 247, 66.4625, 1399.3333, Ftest=21.0545
B. 248.25, 66.4625, 1408.7083, Ftest=21.1955
C. 248.25, 7.9636, 1408.7083, Ftest=176.8940
D. 247, 7.9636, 1399.3333, Ftest=175.7162
Drug 1
Drug 2
Drug 3
Drug 4
ni
4
4
5
5
246
273
230
244
Si
8.37
6.06
10.42
6.63
Explanation / Answer
Correct Answer: Option (C)
since we have 4 groups, H0: the 4 groups population means are equal
H1: the 4-groups population means are not equal
Correct Answer: Option (B)
Since
SSE = 930.4747
Total observations 4+4+5+5 = 18
df of TSS = 18-1 =17
df of factor = 4-1 =3
and df of SSE = 17-3 = 14
Therefore, MSE = SSE/df = 930.4747/14 = 66.4625
Si Si^2 Si^2 / df 8.37 70.0569 210.1707 6.06 36.7236 110.1708 10.42 108.5764 434.3056 6.63 43.9569 175.8276 Total 930.4747