SOLUTION: A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hyperte

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Question 1156447: A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 157 (ยต = 157) with a standard deviation of 12. The 89 individuals who take Atenolol have an average (mean) systolic blood pressure of 136. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these numbers only for this question!)

What is the z-value or t-value you obtained (your test statistic)? (numeric value only, including negative sign if required)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Make the usual assumptions and use z since sd is known
critical value is 0.05
reject Ho if |z|>1.96
z=(x bar-mean)/sigma/sqrt(n)
=(136-157)/12/sqrt(89)
=-21*sqrt(89)/12
=-16.5
(Highly significant at any level.)