Solve the questions on the following documents
STAT 2040 Final Project Points=140 The goal of this project is to assess how correctly you can apply the skills in statistical reasoning, data analysis, and interpretation you learned in class to solve the following problems. It helps you increase your understanding of real-world problems. This project requires you to use statistical software R to analyze the data and make a statistical conclusion. To answer each question, 1. Write null and alternative hypotheses when necessary. 2. Write what statistical procedures, for example, two-sample, t-test, one-sample t-test, Chi-square test, one-way ANOVA, regression analysis, etc., you choose for a particular question and why? 3. Produce appropriate graphs to support your claim, 4. Calculate summary statistics 5. Use more rigorous statistical methods to measure the evidence with p-values, and to construct a confidence interval of the parameter of interest if needed. 6. Interpret and decide for each question after calculating all necessary steps. Write your answer underneath each question, put your graphs, summary statistics, and results, interpretation, and R code. Document your results with R Markdown and submit your results as html file. Your grading will be given based on clarity, organization, the correctness of your answers, correct interpretation, and correct R code. You won’t receive No points if you don’t produce your results with R Markdown. For this project, use the data set called “NutrionStudy”, which you can find on canvas to answer the questions presented below. The NutrionStudy dataset gives nutrition levels in people’s blood as well as their eating habits. Use a 5% level of significance. 1. Find a 99% confidence interval for the average number of grams of fiber per day that people eat. Interpret the results. 2. a) Estimate the effect of gender on smoking along with a 95% confidence interval. b) Do the sample data provide evidence that the effect of gender on smoking is statistically significant? In other words, Is there evidence of a difference in the percentage of current smokers by gender? 3. Does smoking decrease beta-carotene levels in the blood (betaPlasma)? Justify your answer with confidence interval and a p-value. 4. a) Estimate the effect of sex on beta-carotene levels in the blood along with a 90% confidence interval. b) Does sex have any significant effect on beta-carotene levels in the blood? 5. Are the amount of alcohol consumption and the age of the people significantly related? 6. Which variables listed in the dataset are significantly related to plasma beta carotene? 7. Is there sufficient evidence that the proportions of smoking status (prior-smoke)- Never, former and current are equal? 8. Consider the following variables: fat grams consumed in a day, cholesterol consumed in mg per day, and age in years. Which of the above factors significantly affects the variable calories consumed in a day at a 5% level of significance? 9. a) Estimate the effect of smoking on cholesterol levels along with a 95% confidence interval. b) Is the effect of smoking on cholesterol levels significant? Make your decision based on confidence interval. 10. Do the sample data provide evidence that vitamin use affects retinol (micronutrient in the blood) levels? Justify your answer with a p-value. 11. Who (Man or Woman) is more likely to take a vitamin? Is there a significant association between vitamin use and the sex of the participants? STAT 2040 Class Activity 15 Points Name: 1. An experiment is conducted to study how different sandwich fillings might affect the mean number of ants attracted to pieces of a sandwich. See the data ‘ Sandwich Ants”. a) Produce boxplot for the number of ants across different types of bread. b) Calculate group means, variances, and sizes. Group Sample mean ( Sample variance ( Sample size( c) Calculate TSS= SST= SSE= d) Write the complete ANOVA table. e) Conclude. 2. Three groups with and . ANOVA table includes: Source df SS MS F-statistic Groups Error 282 Total 402 STAT 2040 Class Activity 15 Points Name: 1. An experiment is conducted to study how different sandwich fillings might affect the mean number of ants attracted to pieces of a sandwich. See the data ‘ Sandwich Ants”. a) Produce boxplot for the number of ants across different types of bread . b) C alculate group means , variances , and sizes . G roup S ample mean ( ?? ?? ? ) S ample variance ( ?? ?? 2 ) S ample size ( ?? ?? ) c) Calculate TSS = SST = SSE = d) Write the complete ANOVA table. e) Conclude. 2. Three groups with ?? 1 = 5 , ?? 2 = 5 , and ?? 3 = 5 . ANOVA table inclu des : Source df SS MS F - statistic Groups E rror 282 Total 402 STAT 2040 Class Activity 15 Points Name: 1. An experiment is conducted to study how different sandwich fillings might affect the mean number of ants attracted to pieces of a sandwich. See the data ‘ Sandwich Ants”. a) Produce boxplot for the number of ants across different types of bread. b) Calculate group means, variances, and sizes. Group Sample mean (?? ?? ) Sample variance (?? ?? 2 ) Sample size(?? ?? ) c) Calculate TSS= SST= SSE= d) Write the complete ANOVA table. e) Conclude. 2. Three groups with ?? 1 =5,?? 2 =5, and ?? 3 =5. ANOVA table includes: Source df SS MS F-statistic Groups Error 282 Total 402