## Hypothesis Testing contd

- Exercise: Some organization has designed a weight loss program.
- You are give a sample of people who did this program.
- Calculate the difference before and after
- State the null hypothesis
- Calculate the appropriate statistic
- Decide if this is a one side or a two sidex test
- Based on p-value decide at 1%, 5%, 10% significance if this program is working
- The Organization claims the Weight loss program to be working
- Refer Here for the dataset
- The results are as shown the following

## Hypothesis testing for independent samples with known variance

- The Dean of the University claims that since Engineering is difficult course the percentage mean of engineering students will be less than Management students by 4%
- Refer Here for the dataset
- Null Hypothesis H0=> μ(E) – μ(M) = -4%
- Alternavite Hypothesis H1=> μ(E) – μ(M) != -4%
- Z-Score
- Analysis

## Hypothesis testing for independent samples with unknown variance but assumed to be equal

- Refer Here for the dataset
- We want to prove that prices in NY and LA are different
- Null Hypothesis H0 => μ(NY) = μ(LA) => μ(NY)-μ(LA) = 0
- Alternative Hypothesis H1 => μ(NY)-μ(LA) != 0
- Calculate the pooled variance
- T-Score
- Analysis: We reject the null hypothesis
- Rule: Reject the null hypothesis when T-Score is greater than 2

Note: For formulas Refer Here 12 Nov Classroom Notes