1.A researcher wants to design an experiment comparing a treatment group to an control group. The researcher is evaluating the effect of a new drug on systolic blood pressure (SBP). The researcher estimates the standard deviation of SBP in the population to be 10 mmHg. The drug is estimated to decrease SBP by 5 mmHg on average. What is the total sample size required to detect this effect with 80% power? Assume SBP is approximately normally distributed in the population.

2. A researcher wants to design an experiment comparing a treatment group to an control group. The researcher is evaluating the effect of a new drug on systolic blood pressure (SBP). The researcher estimates the standard deviation of SBP in the population to be 10 mmHg. The drug is estimated to decrease SBP by 10 mmHg on average. What is the total sample size required to detect this effect with 90% power? Assume SBP is approximately normally distributed in the population.