## 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

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