Question

Listed below are systolic blood pressure measurements​ (mm Hg) taken from the right and left arms...

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 0.01 significance level to test for a difference between the measurements from the two arms. What can be​ concluded?

Right arm

145

147

138

138

137

Left arm

169

160

184

156

137

what is the Test statistic

what is the p-value?

Homework Answers

Answer #1
Right arm 145 147 138 138 137
Left arm 169 160 184 156 137
Difference -24 -13 -46 -18 0

Null hypothesis: There is no difference

Alternate hypothesis: There is significant difference

Now,

t = -2.985

Corresponding p value for two tailed = 0.0558

Since p > alpha ( 0.01 ) we fail to reject the null hypothesis

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