Question

The ankle brachial index (ABI) compares the blood pressure in a patient’s arm to the blood pressure in the patient’s leg. The value of ABI can be an indicator of di↵erent diseases, including arterial disease. A healthy (or normal) ABI is 0.9. In one study, the researchers obtained the ABI of n = 187 randomly selected women with peripheral arterial disease. The sample mean and standard deviation were ¯x = 0.64 and s = 1.5, respectively. Assume that ABI is normally distributed. Please show work for full credit.

(a) Conduct a hypothesis test to determine if these data provide sucient evidence to conclude that, on average, women with peripheral arterial disease have an average ABI less than 0.9. Use pvalue.

(b) Interpret your answer from part (b).

Answer 1

given data are:-

sample size (n) = 187

sample mean () = 0.64

sample sd (s) = 1.5

hypothesis:-

our claim is the alternative hypothesis.

test statistic be:-

df = (n-1) = (187-1) = 186

p value be:-

[ in any blank cell of excel type =T.DIST(-2.3703,186) ]

decision:-

p value = 0.0094 <0.05 (alpha)

so, we reject the null hypothesis.

b).interpretation:-

there is sufficient evidence to conclude that, on average, women with peripheral arterial disease have an average ABI less than 0.9 at 0.05 level of significance.

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