MATH 3070: Worksheet No.8 - Data Analysis and Hypothesis Testing in Exercises, Exams of Data Analysis & Statistical Methods

A worksheet for math 3070 students, consisting of five exercises. Each exercise involves analyzing data from different studies using statistical methods such as summary statistics, boxplots, qq normal plots, and hypothesis testing (t-test or wilcoxon test). Students are required to present descriptions of the studies, compare groups, construct hypotheses, and discuss findings.

Typology: Exams

Pre 2010

Uploaded on 07/30/2009

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MATH 3070: Worksheet No.8
NAME:
1. Answer the following questions regarding the study in Exercise 6.20. (Data file: Chapter 6/ex6-
20.csv)
(a) Present a short description of the study and the data, including summary statistics for each
variable.
(b) Present the comparison of the two groups in boxplot. Then comment on the data based on
the visualization.
(c) Construct the null and the alternative hypothesis to determine whether there is a difference
in the distribution of SB2M for the two groups.
(d) Construct QQ normal plot for each group. Based on the findings in the plots, which
procedure, t-test or Wilcoxon test, appears more appropriate for comparing the two groups?
(e) Discuss your findings on the evaluation of the influence of alpha interferon.
2. Answer the following questions regarding the study in Exercise 6.21. (Data file: Chapter 6/ex6-
21.csv)
(a) Present a short description of the study and the data, including summary statistics for each
variable.
(b) Present the comparison of the two groups in boxplot. Then comment on the data based on
the visualization.
(c) Do the data provide sufficient evidence that there is a difference in the distributions of comb
weights for the two groups. Construct the null and the alternative hypothesis for the test.
(d) Which procedure, t-test or Wilcoxon test, seems most appropriate for evaluating the data
from this experiment?
(e) Discuss your findings on the evaluation of the different diets.
3. Answer the following questions regarding the study in Exercise 6.28. (Data file: Chapter 6/ex6-
28.csv)
(a) Present a short description of the study and the data, including summary statistics for each
variable.
(b) Present the comparison of the two groups in boxplot and scatter plot. Then comment on the
data based on the visualization.
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MATH 3070: Worksheet No. NAME:

  1. Answer the following questions regarding the study in Exercise 6.20. (Data file: Chapter 6/ex6- 20.csv) (a) Present a short description of the study and the data, including summary statistics for each variable. (b) Present the comparison of the two groups in boxplot. Then comment on the data based on the visualization. (c) Construct the null and the alternative hypothesis to determine whether there is a difference in the distribution of SB2M for the two groups. (d) Construct QQ normal plot for each group. Based on the findings in the plots, which procedure, t-test or Wilcoxon test, appears more appropriate for comparing the two groups? (e) Discuss your findings on the evaluation of the influence of alpha interferon.
  2. Answer the following questions regarding the study in Exercise 6.21. (Data file: Chapter 6/ex6- 21.csv) (a) Present a short description of the study and the data, including summary statistics for each variable. (b) Present the comparison of the two groups in boxplot. Then comment on the data based on the visualization. (c) Do the data provide sufficient evidence that there is a difference in the distributions of comb weights for the two groups. Construct the null and the alternative hypothesis for the test. (d) Which procedure, t-test or Wilcoxon test, seems most appropriate for evaluating the data from this experiment? (e) Discuss your findings on the evaluation of the different diets.
  3. Answer the following questions regarding the study in Exercise 6.28. (Data file: Chapter 6/ex6- 28.csv) (a) Present a short description of the study and the data, including summary statistics for each variable. (b) Present the comparison of the two groups in boxplot and scatter plot. Then comment on the data based on the visualization.

(c) Test whether there is a difference in the mean yields for the two varieties of corn. (d) Estimate the difference in the mean yields of the two varieties. (e) State your conclusion of the study.

  1. Answer the following questions regarding the study in Exercise 6.29. (Data file: Chapter 6/ex6- 29.csv) (a) Present a short description of the study and the data, including summary statistics for each variable. (b) Present the comparison of the two groups in boxplot and scatter plot. Then comment on the data based on the visualization. (c) Construct QQ normal plot for the change. Do the normality assumption for paired t-test appear to be valid for the data? (d) Is there significant evidence that the mean SENS value decreased after the patient received antihypertensive treatment? (e) Estimate the change in the mean SENS value. (f) State your conclusion of the study.
  2. Answer the following questions regarding the study in Exercise 6.36. (Data file: Chapter 6/ex6- 36.csv) (a) Present a short description of the study and the data, including summary statistics for each variable. (b) Present the comparison of the two groups in boxplot and scatter plot. Then comment on the data based on the visualization. (c) Use the paired t-test to determine whether the distribution of heart rates for the dogs when receiving Benzedrine is shifted to the right of that for the same animals when on the placebo. (d) Use the Wilcoxon signed rank test to investigate the same claim as above. (e) Construct QQ normal plot for the change. Which procedure, paired t-test or Wilcoxon test, is more appropriate in this analysis? (f) State your conclusion of the study.