Listed below are systolic blood pressure measurements (mm Hg) taken from the rig

Question

Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10 significance level to test for a Right arm 145 137 143 131 136 Left arm 179 173 175 140 145 In this example, po is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? Identify the test statistic (Round to two decrnal places as needed ) Identily the P-value P-value (Round to three decimal places as needed ) What is the conclusion based on the hypothesis test? Since the P-value is | | than the significance level | the nul hypothesis. There sufficent evidence to support the dam of a difference in measurements between the two arms

Explanation / Answer

From the given data

Descriptive Statistics: Difference

Total Sum of
Variable Count Mean StDev Sum Squares
Difference 5 -24.20 13.50 -121.00 3657.00

Correct Answer:Option (c) H0: mud = 0 and H1: mud not = 0

Test Statistic, d-bar is mean of difference and s is sd of differences
t = d-bar / (s/sqrt(n)) = -24.20 / (13.50 / sqrt(5)) = -4.008

P-Value: 0.0160

since the P-Value is 0.0160 less than the signifiance level, we we the null hypotheis.
There is sufficeient evidence to support the claim of the difference in measurements between the two arms

Right Left Difference 145 179 -34 137 173 -36 143 175 -32 131 140 -9 135 145 -10

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