A pharmaceutical company is testing a new dug designed to reduce blood pressure. The current standard medication has on average reduction of $15$ points in systolic blood pressure. The compony believes that their new drug is more effective in reducing blood pressure. They conduct a study when they administer the new drug to a random sample of $50$ patents and find that the average reduction in systolic blood pressure is $18$ points with a standard deviation of $5$ points. lest the hypothesis that the average than $15$ points, using a significance level of $0.01$ .

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Q. A pharmaceutical company is testing a new dug designed to reduce blood pressure. The current standard medication has on average reduction of

15

points in systolic blood pressure. The compony believes that their new drug is more effective in reducing blood pressure. They conduct a study when they administer the new drug to a random sample of

50

patents and find that the average reduction in systolic blood pressure is

18

points with a standard deviation of

5

points. lest the hypothesis that the average than

15

points, using a significance level of

0.01

State hypotheses: State the null and alternative hypotheses. $\newline$ The null hypothesis ( $H_0$ ) is that the new drug is not more effective than the current standard medication, which means the average reduction in systolic blood pressure is $15$ points or less. The alternative hypothesis ( $H_1$ ) is that the new drug is more effective, which means the average reduction in systolic blood pressure is greater than $15$ points.
Set significance level: Set the significance level ( $\alpha$ ). $\newline$ The significance level is not explicitly given in the problem, so we cannot proceed with the hypothesis test without this information. We need the significance level to determine the critical value and to make a decision about the null hypothesis.