A new drug has been developed that promises to induce weight loss without having to exercise. Being a skeptical statistician, you wish to test the effectiveness of this drug. To do so, you recruit 50 of your classmates and randomly assign them (equal numbers) to a control (placebo) or drug treatment group and assess their body mass after 8 weeks of treatment. For this particular study, indicate the following:

• Null hypothesis (express it with the notation from the lecture notes AND in a single sentence)
• Alternative hypothesis (express it with the notation from the lecture notes AND in a single sentence)
• t-valueand degrees of freedomfor calculating the 99% confidence intervals for each group.