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

Question 1089636: 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 172 (� = 172). The 30 individuals who take Atenolol have an average systolic blood pressure of 129, with a sample standard deviation of 12. 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!)
Calculate the 95% confidence interval
As you know, two values will be required to complete the following equation:

_________ ≤ � ≤ __________
For this question, what is the value that is below or less than �?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The 95% interval is mean +/- t df=29, 0.975, *12/sqrt(30)
since t*s/sqrt(n) is the interval width.
t is 2.045
interval is +/-2.045*12/sqrt (30)=4.48
(124.52, 133.48) is the interval in units mm Hg.
Since the interval does not contain mu, one would conclude that it significantly lowers systolic BP. The upper value is less than the original mean that is being tested against, and we are highly confident that the true value lies within this interval.

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