ntil death occurs. Each pigs, and the total dosage required for death of each oses are considered more effective). The software outpu

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For Numbers 11 to 15: To determine the efficacy and lethal dosage of cardiac relaxants, anesthetized
guinea pigs are infused with a drug (A, B, C, or D) until death occurs. Each drug was randomly
assigned to ten guinea pigs, and the total dosage required for death of each guinea pig was
recorded (smaller lethal doses are considered more effective). The software output of the analysis
are given below:
ANOVA
Assumption Checks
ANOVA - total_dosage
Homogeneity of Variances Test (Levene's)
Sum of Squares
Mean Square
df1
df2
df
36
0.307
drug
265
88.49
9.87
<001
1.25
3
Residuals
323
36
8.97
Normality Test (Shapiro-Wilk)
Statistic
0.979
0.670
11. Which of the following is (are) TRUE about the design of the experiment?
I. The experiment has an unbalanced design.
II. The experiment was laid out in CRD without subsampling.
A. I only
B. Il only
C. Both I and II
D. Neither I nor II
12. At 5% level of significance, which of the following statement(s) is(are) TRUE about the test of
assumptions of ANOVA?
I. The error variances of the drugs are equal.
II. The errors follow the normal distribution.
A. I only
B. Il only
C. Both I and Il
D. Neither I nor II
13. The appropriate pair of decision and conclusion in testing the significance of treatment effects
at 5% level of significance is
A. Fail to reject Ho; There is no sufficient evidence to say that at least one drug has a different
effect.
B. Fail to reject Ho; There is sufficient evidence to say that at least one drug has a different
effect.
C. Reject Ho; There is no sufficient evidence to say that at least one drug has a different effect.
D. Reject Ho; There is sufficient evidence to say that at least one drug has a different effect.
Page 4
STAT 162 - Experimental Designs
OF THE
Institute of Statistics
University of the Philippines Los Baños
INKI
AINA
Transcribed Image Text:QUA For Numbers 11 to 15: To determine the efficacy and lethal dosage of cardiac relaxants, anesthetized guinea pigs are infused with a drug (A, B, C, or D) until death occurs. Each drug was randomly assigned to ten guinea pigs, and the total dosage required for death of each guinea pig was recorded (smaller lethal doses are considered more effective). The software output of the analysis are given below: ANOVA Assumption Checks ANOVA - total_dosage Homogeneity of Variances Test (Levene's) Sum of Squares Mean Square df1 df2 df 36 0.307 drug 265 88.49 9.87 <001 1.25 3 Residuals 323 36 8.97 Normality Test (Shapiro-Wilk) Statistic 0.979 0.670 11. Which of the following is (are) TRUE about the design of the experiment? I. The experiment has an unbalanced design. II. The experiment was laid out in CRD without subsampling. A. I only B. Il only C. Both I and II D. Neither I nor II 12. At 5% level of significance, which of the following statement(s) is(are) TRUE about the test of assumptions of ANOVA? I. The error variances of the drugs are equal. II. The errors follow the normal distribution. A. I only B. Il only C. Both I and Il D. Neither I nor II 13. The appropriate pair of decision and conclusion in testing the significance of treatment effects at 5% level of significance is A. Fail to reject Ho; There is no sufficient evidence to say that at least one drug has a different effect. B. Fail to reject Ho; There is sufficient evidence to say that at least one drug has a different effect. C. Reject Ho; There is no sufficient evidence to say that at least one drug has a different effect. D. Reject Ho; There is sufficient evidence to say that at least one drug has a different effect. Page 4 STAT 162 - Experimental Designs OF THE Institute of Statistics University of the Philippines Los Baños INKI AINA
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