Question

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​ P-value. ​(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.

Answer 1

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 ='(x̄-μ)/sx=(71.46-78)/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.