For Numbers 9 and 10: Clean precipitation has a pH of 5.0 to 5.5 but in a certain county, precipitation pH is 3.0 to 4.0, meaning that the precipitation is acidic. A study was conducted to determine the effect of five pH levels (4.7, 4.0, 3.3, 3.0, and 2.3) on trees. One hundred six-week-old birch tree seedlings were equally divided into 20 groups and four groups were randomly allocated to each of the pH levels. The seedlings within each group received the level of acid mist 6 hours a week for 17 weeks, and the total dry weight per group was recorded at the end of the experiment. After completing the data and performing the preliminary analysis in jamovi ©, they obtained the following p-values: Shapiro-Wilk Test for Residuals: 0.0104, Levene's Test: 0.0417, and Test for differences: 0.1502. 9. Based on the results of the test of hypothesis for the assumptions of ANOVA, which of the following is recommended at 5% level of significance? A. Test first if subsampling is significant. В. Со that ere is no sufficient evidence that at least one pH level has a different mean total dry weight. C. Perform possible remedies to the data since assumptions are not satisfied. D. Proceed with ANOVA. 10. If all assumptions of the test were satisfied, the appropriate test for the given experiment is A. t-test of one population mean B. t-test of two population means using independent samples C. t-test of two population means using paired samples D. F-test using one-way ANOVA ******************** STAT 162 - Experimental Designs Page 3 Institute of Statistics University of the Philippines Los Baños

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For Numbers 9 and 10: Clean precipitation has a pH of 5.0 to 5.5 but in a certain county, precipitation
pH is 3.0 to 4.0, meaning that the precipitation is acidic. A study was conducted to determine the
effect of five pH levels (4.7, 4.0, 3.3, 3.0, and 2.3) on trees. One hundred six-week-old birch tree
seedlings were equally divided into 20 groups and four groups were randomly allocated to each of
the pH levels. The seedlings within each group received the level of acid mist 6 hours a week for 17
weeks, and the total dry weight per group was recorded at the end of the experiment. After
completing the data and performing the preliminary analysis in jamovi ©, they obtained the following
p-values: Shapiro-Wilk Test for Residuals: 0.0104, Levene's Test: 0.0417, and Test for differences:
0.1502.
9. Based on the results of the test of hypothesis for the assumptions of ANOVA, which of the
following is recommended at 5% level of significance?
A. Test first if subsampling is significant.
B. Conclude that there is no sufficient evidence that at least one pH level has a different mean
total dry weight.
C. Perform possible remedies to the data since assumptions are not satisfied.
D. Proceed with ANOVA.
10. If all assumptions of the test were satisfied, the appropriate test for the given experiment is
A. t-test of one population mean
B. t-test of two population means using independent samples
C. t-test of two population means using paired samples
D. F-test using one-way ANOVA
STAT 162 - Experimental Designs
Page 3
UF TIHE
Institute of Statistics
University of the Philippines Los Baños
190%
UNIVE
erINES
Transcribed Image Text:*** For Numbers 9 and 10: Clean precipitation has a pH of 5.0 to 5.5 but in a certain county, precipitation pH is 3.0 to 4.0, meaning that the precipitation is acidic. A study was conducted to determine the effect of five pH levels (4.7, 4.0, 3.3, 3.0, and 2.3) on trees. One hundred six-week-old birch tree seedlings were equally divided into 20 groups and four groups were randomly allocated to each of the pH levels. The seedlings within each group received the level of acid mist 6 hours a week for 17 weeks, and the total dry weight per group was recorded at the end of the experiment. After completing the data and performing the preliminary analysis in jamovi ©, they obtained the following p-values: Shapiro-Wilk Test for Residuals: 0.0104, Levene's Test: 0.0417, and Test for differences: 0.1502. 9. Based on the results of the test of hypothesis for the assumptions of ANOVA, which of the following is recommended at 5% level of significance? A. Test first if subsampling is significant. B. Conclude that there is no sufficient evidence that at least one pH level has a different mean total dry weight. C. Perform possible remedies to the data since assumptions are not satisfied. D. Proceed with ANOVA. 10. If all assumptions of the test were satisfied, the appropriate test for the given experiment is A. t-test of one population mean B. t-test of two population means using independent samples C. t-test of two population means using paired samples D. F-test using one-way ANOVA STAT 162 - Experimental Designs Page 3 UF TIHE Institute of Statistics University of the Philippines Los Baños 190% UNIVE erINES
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