Question

Question 5 [10 points] A doctor at a walk-in clinic is studying high blood pressure among patients of the ages twenty to forty. According to the American Heart Association, a person has high blood pressure if their Systolic and Diastolic readings are above 130 and 39 respectively. A random sample of 10 patients revealed the following blood pressures, where the readings (x,y) correspond to (Systolic Diastolic blood pressures (179,109) (180,120) (11970) (130,85) (159,90) (110,79) (180,120) (119,70) (110,79) (159,90) Assume that the population distribution is normal For full marks your answer should be accurate to at least two decimal places a) Find the mean systolic reading of blood pressure for this sample Mean = 0 by Obtain a point estimate of the population mean of systolic blood pressures Estimate of Population Mean - 0 Confidence interval= (0,0) dCan we conclude that these patients have a mean systolic reading in the high blood pressure area? From our findings we can conclude that the patients have a high mean blood pressure From our findings we cannot conclude that the patients have a high moan blood pressure

Answer 1

Result:

a). 144.50

b). 144.50

c). 99% CI = (113.8172, 175.1828)

d).

a). From our findings we can not conclude that the patients have high mean blood pressure.

( note: since 139 contained in the 99% CI. Therefore we can not conclude)

$CI = \bar x \pm t* \frac {s}{\sqrt{n}}$

Confidence Interval Estimate for the Mean
Data
Sample Standard Deviation	29.85613654
Sample Mean	144.5
Sample Size	10
Confidence Level	99%
Intermediate Calculations
Standard Error of the Mean	9.441339359
Degrees of Freedom	9
t Value	3.2498
Interval Half Width	30.6828
Confidence Interval
Interval Lower Limit	113.8172
Interval Upper Limit	175.1828