Systolic blood pressure results from contractions of the heart. In comparing sys
ID: 3363760 • Letter: S
Question
Systolic blood pressure results from contractions of the heart. In comparing systolic blood pressure levels of men and women, Dr. Jane Taylor obtained readings for a random sample of 20 women. The sample mean and standard deviation were found to be 130.7 and 23.4, respectively. If systolic blood pressure levels for men are known to have a mean and standard deviation of 133.4 and 19.7. Test the claim that women have a lower average blood pressure than men at the 0.04 level of significance. Perform the test with both the p-value and critical value methods.Explanation / Answer
Given that,
population mean(u)=133.4
sample mean, x =130.7
standard deviation, s =23.4
number (n)=20
null, Ho: =133.4
alternate, H1: <133.4
level of significance, = 0.04
from standard normal table,left tailed t /2 =1.85
since our test is left-tailed
reject Ho, if to < -1.85
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =130.7-133.4/(23.4/sqrt(20))
to =-0.516
| to | =0.516
critical value
the value of |t | with n-1 = 19 d.f is 1.85
we got |to| =0.516 & | t | =1.85
make decision
hence value of |to | < | t | and here we do not reject Ho
p-value :left tail - Ha : ( p < -0.516 ) = 0.3059
hence value of p0.04 < 0.3059,here we do not reject Ho
ANSWERS
---------------
null, Ho: =133.4
alternate, H1: <133.4
test statistic: -0.516
critical value: -1.85
decision: do not reject Ho
p-value: 0.3059
we dont have evidence that women have a lower average blood pressure
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