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: 68, 69, 70, 69, 68, 70, 62

Population 2: 68, 77, 68, 73, 77, 71, 78, 69

Is there evidence, at an =0.04 level of significance, to conclude that there those who exercise regularly have lower resting heart rates? Carry out an appropriate hypothesis test, filling in the information requested.

A. The value of the standardized test statistic:

B. The p-value is

Explanation / Answer

from above

here degree of freedom v =((s12/n1+s22/n2)2)/((s12/n1)2/(n1-1)+(s22/n2)2/(n2-1)) =~12

from above std error of difference =(s12/n1+s22/n2)1/2 =1.8284

hence test stat t=(X1-X2)/std error =-2.5295

for 12 degree of freedom p value =0.0132

as p value is less then 0.04 level we reject that heart beats are equal and conclude that people who excercise has lower heart beats

S. no 1st 2nd 1 68 68 2 69 77 3 70 68 4 69 73 5 68 77 6 70 71 7 62 78 8 69 total 476.000 581.000 mean 68.000 72.625 std deviation(S) 2.769 4.241

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