6.
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 78 bpm. Use a 0.10 significance level.
Pulse Rate (bpm) 

102 
102 

36 
100 

72 
52 

46 
71 

83 
87 

50 
58 

36 
46 

52 
94 

39 
65 

40 
101 

76 
65 

89 
67 

99 
51 

70 
44 

76 
77 

57 
102 

87 
79 

41 
95 

82 
61 

52 
84 

45 
75 

68 
81 

48 
101 

88 
93 

105 
83 
____________________
Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?
A.
H0:
μ=78
bpm
H1:
μ>78
bpm
B.
H0:
μ=78
bpm
H1:
μ<78
bpm
C.
H0:
μ>78
bpm
H1:
μ<78
bpm
D.
H0:
μ=78
bpm
H1:
μ≠78
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
▼
not sufficient
sufficient
evidence to conclude that the mean of the population of pulse rates for adult females is
▼
greater than
less than
not
78
bpm.
for Hypothesis: option B is correct
null hypothesis: HO: μ  =  78  
Alternate Hypothesis: Ha: μ  <  78 
population mean μ=  78  
sample mean 'x̄=  71.460  
sample size n=  50  
std deviation s=  21.1980  
std error ='sx=s/√n=21.1980072224745/√50=  2.9979  
t statistic ='(x̄μ)/sx=(71.4678)/2.998=  2.18 
p value =  0.017  from excel: tdist(2.182,49,1) 
Reject Ho ; There is sufficient evidence to conclude that the mean of the population of pulse rates for adult females is less than 78 bpm.
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