A doctor wants to know if a blood pressure medication is effective. Six subjects
ID: 3128926 • Letter: A
Question
A doctor wants to know if a blood pressure medication is effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the 1% significance level. What is the test statistic? What is the p- value? Two types of phone operating system are being tested to determine if there is a difference in the proportions of system failures (crashes). Fifteen out of a random sample of 150 phones with OS_1 had system failures within the first eight hours of operation. Nine out of another random sample of 150 phones with OS_2 had system failures within the first eight hours of operation. OS_2 is believed to be more stable (have fewer crashes) than OS_1. What is the test statistic? What is the p- value?Explanation / Answer
2. H0: mua-mub is zero (The mean difference in systolic blood pressure before and after medication is same).
H1: mua<mub (The mean difference in systolic blood pressure is less after medication0.
The data are paired as samples whose sytolic blood pressure was measured were given medication to get their new systolic pressure. Moreover, each samples are independnet of others. Therefore, the test statistic is paired t test.
Using technology, the exact p value is 0.140.
4.
H0:Pu1 equal to Pu2 (OS1 is equally stable than OS2)
H1: Pu1< Pu2 (OS2 is more stable than OS1)
The sample size is large (more than 100) 2-proportion Z statistic should be used.
Usng technology, the p value is 0.287.
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