8.
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 than76
bpm. Use a 0.10 significance level.
Pulse Rate (bpm) 

85 
58 

65 
87 

85 
98 

97 
101 

74 
64 

40 
99 

67 
68 

100 
64 

100 
68 

44 
60 

61 
36 

56 
96 

89 
68 

40 
82 

51 
44 

35 
77 

72 
71 

101 
79 

89 
68 

57 
90 

52 
102 

52 
99 

83 
105 

48 
82 

61 
78 
Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?
A.
H0:
μ=76
bpm
H1:
μ>76
bpm
B.
H0:
μ=76
bpm
H1:
μ≠76
bpm
C.
H0:
μ>76
bpm
H1:
μ<76
bpm
D.
H0:
μ=76
bpm
H1:
μ<76
bpm
Determine the test statistic. (Round to two decimal places as needed.)
Determine the Pvalue (Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Fail to reject
Reject
H0.
There is
▼
sufficient
not sufficient
evidence to conclude that the mean of the population of pulse rates for adult females is
▼
not
less than
greater than
76
bpm.
for Hypothesis: option D is correct
null hypothesis: HO: μ  =  76  
Alternate Hypothesis: Ha: μ  <  76 
population mean μ=  76  
sample mean 'x̄=  72.960  
sample size n=  50  
std deviation s=  20.1301  
std error ='sx=s/√n=20.1301479662435/√50=  2.8468  
t statistic ='(x̄μ)/sx=(72.9676)/2.847=  1.07  
p value =  0.145  from excel: tdist(1.068,49,1) 
Fail to reject Ho ; There is not sufficient evidence to conclude that the mean of the population of pulse rates for adult females is less than 76 bpm
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