Final Project (Due date August 6th)
At the beginning of the class, I collect data from you guys through StatCrunch Survey.
I send an email to join Summer’20 group in StantCrunch. Join the group and you will find dataset named “Dataset Final Project”.
For dataset, Go to StatCrunch statcrunch website MyGroups Summer 20
Dataset Final Project.
Warning: This sample set is small so some of the conditions for the test does not apply. For this project, let us assume all the conditions are satisfied and you are ready to continue the test. (Caution: we cannot apply these results to the real world. This project is for practice only)
Open the dataset, for each question write the null and alternative hypothesis, give the statistic value, and interpret the result. Use 0.05 as significance level and answer the questions:
1. Name all the numerical variables. (5 Points)
2. Name all the categorical variables. (5 Points)
3. How can we find that there is an association between height of the students and the shoe size? (5 Points)
a. If there is an association, then how well these variables are associated? (5 Points)
b. If there is an association, then what will be the show size of a student whose height is 70 inches? (5 Points)
c. If there is an association, then what will be the show size of a student who is 35 inches? (5 Points)
4. The average weight of women aged 15-60 is 166.2 pounds. Test the hypothesis that average weight of women is not 166.2. (10 Points)
5. The average weight of men aged 15-60 is 177.9 pounds. Test the hypothesis that average weight of men is less than 177.9. (10 Points)
6. Test the hypothesis that the number of units take different for male and female in summer’20? (10 Points)
7. According to the studies that 90% of the population is right-handed. Test the hypothesis that the percentage of right-handed is unchanged. (10 Points)
8. According to studies 79% of the humans have Brown eyes, 10% has Blue eyes, 10% has Hazel/Amber eyes, and 1% has grey eyes. Test the hypothesis that the population distribution of eye color is same as the proposed distribution. (20 Points)
9. Test the hypothesis that the eye color is independent of gender. (10 Points)