Random samples of resting heart rates are taken from two groups. Population 1 ex

Question

Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly, and Population 2 does not. The data from these two samples is given below: Population 1: 71, 72, 68, 63, 64, 73, 71 Population 2: 71, 77, 79, 72, 71, 74, 75, 69 Is there evidence, at an =0.01 level of significance, to conclude that there those who exercise regularly have lower resting heart rates? (Assume that the population variances are equal.) Carry out an appropriate hypothesis test, filling in the information requested. A. The value of the test statistic: B. Is there sufficient evidence to reject the null hypothesis?

Explanation / Answer

here null hypothesis :heart rate differnce mean1-mean2=0

alternate hypothesis: mu1<mu2

hence degree of freedom =((s12/n1+s22/n2)2/((S12/n1)/(n1-1)+(S22/n2)/(n2-1))=11 (rounding it down)

std error =(s12/n1+s22/n2)1/2=1.92

hence test stat t =(x1-x2)/std error =-2.4179

for 0.01 level, t critical at 11 degree of freedom =-2.7181

as t stat is inside critical region we can not reject the null hypothesis.

S. no 1 2 1 71 71 2 72 77 3 68 79 4 63 72 5 64 71 6 73 74 7 71 75 8 69 total 482.000 588.000 mean 68.857 73.500 std deviation(S) 3.976 3.381

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.