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: 70, 63, 63, 66, 73, 70, 63 Population 2: 72, 78, 69, 74, 74, 74, 72, 78 Is there evidence, at an α=0.01 level of significance, to conclude that there those who exercise regularly have lower resting heart rates? (Use the conservative method for computing degrees of freedom). Carry out an appropriate hypothesis test, filling in the information requested. A. The value of the standardized test statistic: -2.17 B. The p-value is .04 C. Your decision for the hypothesis test: A. Reject H1. B. Reject H0. C. Do Not Reject H0. D. Do Not Reject H1.

Answer 1

Answer:

Step-by-step explanation:

Let X be the sample who exercise regularly and Y who do not

X      Y     X-Y

70 72 -2

63 78 -15

63 69 -6

66 74 -8

73 74 -1

70 72 -2

63 78 -15

 

 

Mean  -7

Var  36

std dev  6

Let us create hypotheses as:

$H_0: x bar - y bar =0\\H_a: x bar -y bar <0$

(One tailed test)

Test statistic = mean diff/std error = $\frac{-7}{\frac{6}{\sqrt{6} } }$

=-2.86

df = n1+n2-2 = 14

p = 0.006299

SInce p <0.05, reject null hypothesis

There is statistical evidence to show that heart beats are lower for persons who exercise.