The Ankle Brachial Index​ (ABI) compares the blood pressure of a​ patient's arm to the blood pressure of the​ patient's leg. A healthy ABI is 0.9 or greater. In a​ study, researchers obtained the ABI of 187 women with arterial disease. The results were a mean ABI of 0.90 with a standard deviation of 0.14. At the 5​% significance​ level, do the data provide sufficient evidence to conclude​ that, on​ average, women with arterial disease have an unhealthy​ ABI?   Assume the ABI values are normally distributed.   Set up the hypotheses for the​ one-mean t-test.   H0​: μ= not equals≠ greater than> equals= less than< nothing   Ha​: μ less than< not equals≠ greater than> equals= nothing   The test statistic is t= ​(Round to two decimal places as​ needed.)

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The Ankle Brachial Index​ (ABI) compares the blood pressure of a​ patient's arm to the blood pressure of the​ patient's leg. A healthy ABI is 0.9 or greater. In a​ study, researchers obtained the ABI of 187 women with arterial disease. The results were a mean ABI of 0.90 with a standard deviation of 0.14. At the 5​% significance​ level, do the data provide sufficient evidence to conclude​ that, on​ average, women with arterial disease have an unhealthy​ ABI?
 
Assume the ABI values are normally distributed.
 
Set up the hypotheses for the​ one-mean t-test.
 
H0​: μ=
not equals≠
greater than>
equals=
less than<
nothing
 
Ha​: μ
less than<
not equals≠
greater than>
equals=
nothing
 
The test statistic is t=
​(Round to two decimal places as​ needed.)
 
 
Expert Solution
Step 1

We have given that 

Sample size n=187 , s= 0.14 

Xbar= 0.90 , mu= 0.90

level of significance =alpha =0.05

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