Question

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and me Click the icon to view the data for diastolic blood pressure for men and women Data for Diastolic Blood Pressure of Men and Women Let , be the mean diastolic blood pressure for women and let be the mean diastolic blood pressure 4 H O A. Hoilith Нар, ер Oc, Ho W * H) H: 12 OB. H: 12 *H OD. HEM H:H, H2 Calculate the test statistic, Women Men 690 700 950 630 810 690 66.0 59.0 71.0 63.0 80.0 710 570 58.0 51.0 40.0 730 670 870 670 690 83.0 50.0 740 720 550 63.0 67.0 51.0 RZO 910 Women 650 720 55.0 58.0 810 720 700 640 67.0 83.0 55.0 76.0 730 53.0 890 500 Men 65.0 79.0 92.0 80.0 88.0 640 71.0 78.0 75.0 59.0 67.0 850 730 69.0 670 710 t = (Round to two decimal places as needed.) Find the Pova Click to select your answer(s). 77.0

Answer 1

Given that,
mean(x)=69.937
standard deviation , s.d1=11.132
number(n1)=32
y(mean)=70.031
standard deviation, s.d2 =11.262
number(n2)=32
null, Ho: u1 = u2
alternate, H1: u1 != u2
level of significance, α = 0.05
from standard normal table, two tailed t α/2 =2.04
since our test is two-tailed
reject Ho, if to < -2.04 OR if to > 2.04
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =69.937-70.031/sqrt((123.92142/32)+(126.83264/32))
to =-0.0336
| to | =0.0336
critical value
the value of |t α| with min (n1-1, n2-1) i.e 31 d.f is 2.04
we got |to| = 0.03358 & | t α | = 2.04
make decision
hence value of |to | < | t α | and here we do not reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != -0.0336 ) = 0.973
hence value of p0.05 < 0.973,here we do not reject Ho
ANSWERS
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null, Ho: u1 = u2
alternate, H1: u1 != u2
test statistic: -0.0336
critical value: -2.04 , 2.04
decision: do not reject Ho
p-value: 0.973
we do not have enough evidence to support the claim that women and men have the same mean diastolic
blood pressure.