Question

# 8. Use the pulse rates in beats per minute​ (bpm) of a random sample of adult...

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.

for Hypothesis: option D is correct

 null hypothesis: HO: μ = 76 Alternate Hypothesis: Ha: μ < 76
 population mean μ= 76 sample mean 'x̄= 72.96 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

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