(Solved): A new diet drug states that clients will lose 5kg in their first month taking the drug. You thi ...

A new diet drug states that clients will lose $5\mathrm{kg}$ in their first month taking the drug. You think that this statement is false; you think that patients will lose more than $5\mathrm{kg}$. You conduct an experiment on 100 clients taking this new diet drug. Your sample results in a mean weight loss of $5.1\mathrm{kg}$ with a standard deviation of $0.2\mathrm{kg}$. You are going to run a hypothesis test at $10\%$ level of significance to see if there is evidence that the weight loss drug has a greater weight greater than the $5\mathrm{kg}$ stated by the drug company. Select the appropriate null hypothesis for this scenario. $\begin{array}{l}{\mathrm{H}}_0:?>5\\ {\mathrm{H}}_0:?=0.2\\ {\mathrm{H}}_0:\mathrm{n}=100\\ {\mathrm{H}}_0:?=100\\ {\mathrm{H}}_0:?=4.7\\ {\mathrm{H}}_0:?>4.85\\ {\mathrm{H}}_0:?=5.1\\ {\mathrm{H}}_0:?>10\%\\ {\mathrm{H}}_0:?<5\\ {\mathrm{H}}_0:?>.002\end{array}$ For the same scenario: A new diet drug states that clients will lose $5\mathrm{kg}$ in their first month taking the drug. You think that this statement is false; you think that patients will lose more than $5\mathrm{kg}$. You conduct an experiment on 100 clients taking this new diet drug. Your sample results in a mean weight loss of $5.1\mathrm{kg}$ with a standard deviation of $0.2\mathrm{kg}$. You are going to run a hypothesis test at $10\%$ level of significance to see if there is evidence that the weight loss drug has a greater weight greater than the $5\mathrm{kg}$ stated by the drug company. Select the appropriate alternative hypothesis for this scenario. $\begin{array}{l}{H}_A:?>0.2/\sqrt{100}\\ H_A:?<5.1\\ H_A:?>5.1\\ H_A:?>10\%\\ H_A:?>0.2\\ H_A:?<5\\ H_A:n>5.1\\ H_A:?>5\\ H_A:?=5.1\\ H_A:?>100\end{array}$