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Drills with R on point estimates and confidence intervals
Provide in the plain text R commands that finds/solves the following:
- A study investigates the distribution of annual income for heads of households living in public housing in Chicago. For a random sample of size 30, the annual incomes (in thousands of dollars) are in the Chicago data file.
- Based on a descriptive graphic, describe the shape of the sample data distribution. Find and interpret point estimates of the population mean and standard deviation.
- Construct a 95% confidence interval for μ, using R software.
- The Anorexia data file contains results for the cognitive behavioral and family therapies and the control group. Using data for the 17 girls who received the family therapy:
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- Conduct a descriptive statistical analysis using graphs and numerical summaries.
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- Construct a 95% confidence interval for the difference between the population mean weight changes for the family therapy and the control.
Datasets needed are at Index of Datasets
Useful functions in R to solve problems in this assignment: read.table, hist, t.test