1. Test the null hypothesis that the average of the total marks is equal to 56.

2. Test the null hypothesis that the average marks in Math is less than or equal

to 15.

3. The State Authorities feel that the women performed better than men. In

order to test this, they wanted to carry out a one-sided hypothesis test.

First calculate the average Total Score for all the 1000 beneficiaries in your

sample. Then calculate the proportion of women who scored more than

this average. Consider this as the sample proportion p. using this value of

p, test the null hypothesis that 0.5.

4. It is always claimed that those who are taught in their mother tongue

perform better. The teaching in the class is in Tamil language. Test the null

hypothesis that there is no difference in the performance of those

beneficiaries whose mother tongue is Tamil and those whose mother

tongue is NOT Tamil. Use Total score as a measure for performance.

5. We would like to test if the two variables Age and Performance (measured

by Total Score) are independent of each other. In order to test this

hypothesis, divide the beneficiaries into 4 categories namely Low, Good,

Very Good and Excellent based on the Total Score. The cut-offs for each of

the categories is left to you. Similarly, divide the beneficiaries into 3 groups

(Grp 1, Grp 2 and Grp 3) based on their age. Again, the cut-off for each

group is left to you. Test the null hypothesis that the two attributes,

Performance and Age are independent of each other using the Performance

categories and Age groups created by you.

https://docs.google.com/spreadsheets/d/1AJNpCvPo2BwMKApnPqFuD9HkpDqrurpE/edit?usp=sharing&ouid=115582740816647400257&rtpof=true&sd=true