Question

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​ 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

▼

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.

Answer 1

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 ='(x̄-μ)/sx=(72.96-76)/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