Question

Use the pulse rates in beats per minute (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 70 bpm. Use a 0.05 significance level.

What are the null and alternative hypotheses?

Pulse Rates (bpm)
59
98
82
65
42
104
37
67
79
82
73
69
60
104
38
44
36
41
103
59
54
72
58
62
76
36
54
63
103
70
62
77
77
56
50
70
57
56
84
83
100
50
89
35
66
94
56
38
83
71

Determine the test statistic.

Determine the P-value.

State the final conclusion that addresses the original claim.

Reject/Fail to reject Upper H0. There is not sufficient/sufficient evidence to conclude that the mean of the population of pulse rates for adult females is ......greater than not less than 70 bpm.

Answer 1

mean Pulse Rates (bpm)	66.880
std. dev.	19.915

To Test :-

H0 :- µ = 70
H1 :- µ < 70

Test Statistic :-
t = ( X̅ - µ ) / (S / √(n) )
t = ( 66.88 - 70 ) / ( 19.915 / √(50) )
t = -1.1078

P - value = P ( t > 1.1078 ) = 0.1367

Reject null hypothesis if P value < α = 0.05 level of significance
P - value = 0.1367 > 0.05 ,hence we fail to reject null hypothesis
Conclusion :- Fail to reject null hypothesis

There is not sufficient evidence to conclude that the mean of the population of pulse rates for adult females is less than 70 bpm.