The blood pressure of a person changes throughout the day Su

The blood pressure of a person changes throughout the day. Suppose the systolic blood pressure of a person is measured 33 times over several days and the standard deviation of these measurements for the person is known to be sigma= 9.7 mmHg. Let Mu be the true average blood pressure for that person and let x= 104 be the average of the 33 measurements. (a) Find a two-sided 95% confidence interval for it. One can be 95% confident that the true average blood pressure it for that person is between and (b) Find a lower-bound 95% confidence interval for Mu. One can be 95% confident that the true average blood pressure Mu for that person is at least . (c) Find an upper-bound 95% confidence interval for Mu. One can be 95% confident that the true average blood pressure Mu for that person is at most . Check

Solution

mean=110,=9.9.n=21

a) t_{.025<|(110-)/(9.9/21)|}

-2.16036t_.025+110<<2.16036t_.025+110

-2.086*(2.16036+100<<2.086*(2.16036+100

105.49<<114.065

b)-2.16036t_.05+110<

-2.16036*1.725+110<

106.27<

c)2.16036*1.725+110>

113.7266<