1. Name all the numerical variables. (5 Points)

Age, Height, Weight, Shoe size, and Number of Units

2. Name all the categorical variables. (5 Points)

Gender, Major, Left Handed

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'21? (10 Points)

7. According to studies, 10% of the population is left-handed. Test the hypothesis

that the percentage of left-handed people 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)