Assignment: Applied Statistics

Applied Statistics

Please prepare answers to homework problems in a Word/pdf file, including concise but complete analysis procedures, discussion of results, and necessary SPSS outputs.

Problem 1:

Use the data of Kutners 19.14 Hay fever relief to answer the question below.

a. Identify the response variable, factors, treatments, and the experimental unit of this study.

b. Obtain the treatment means plot for this study. What can you tell from this plot about the main effects of the two factors and their interaction effect?

c. Test whether or not the two factors interact. Use = 0.05. State the hypotheses, test statistic, decision rule, and conclusion.

d. Test whether or not main effects for the two factors are present. Use = 0.05. State the hypotheses, test statistic, decision rule, and conclusion.

e. Do the results of the hypothesis tests in parts d and e confirm your graphic analysis in part c?

f. Set up the full regression model for the ANOVA problem. Define the indicators and run the regression model and discuss your conclusions. Use = 0.05.

Problem 2: my whatsapp No: 00966559712545 please contact me

Use the data of Kutners 25.7 Sodium content to answer the question below.

a. What is the proper ANOVA model for this problem, fixed effect or random effect? Explain your answer.

b. Test whether or not the mean sodium content is the same in all brands. Use = 0.05. State the hypotheses, test statistic, decision rule, and conclusion.

c. Estimate the mean sodium content for all brands with a 99% confidence interval. (hint: estimate of overall mean µ.)

d. Estimate with a 99% confidence interval. What does this tell you about the differences in sodium contents of all the brands?

Problem 3:

In the question of Kutners 24.9 Marketing research contractors, three factors, fee level, scope, and supervision are considered for their effects on the quality of work performed under contract by independent marketing research agencies. Based on the data, answer the following questions.

a. Prepare the treatment means plots like Figure 24.1. What can you observe from the plots?

b. Test the interaction and main effects of those factors. Use = 0.05. State the hypotheses, test statistic, decision rule, and conclusion.

c. Discuss the results obtained from part b.

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