Determine Whether the Samples Are Independent or Dependent Use a Significance Level of 0

question 54

Essay

Determine whether the samples are independent or dependent.
-A researcher wishes to determine whether the blood pressure of vegetarians is, on average, lower than the
blood pressure of nonvegetarians. Independent simple random samples of 85 vegetarians and 75
nonvegetarians yielded the following sample statistics for systolic blood pressure: $$\begin{array} { | l l | } \hline \text { Vegetarians } & \text { Nonvegetarians } \\\mathrm { n } _ { 1 } = 85 & \overline { \mathrm { n } _ { 2 } } = 75 \\\overline { \mathrm { x } _ { 1 } } = 124.1 \mathrm { mmHg } & \mathrm { x } _ { 2 } = 138.7 \mathrm { mmHg } \\\mathrm { s } _ { 1 } = 38.7 \mathrm { mmHg } & \mathrm { s } _ { 2 } = 39.2 \mathrm { mmHg } \\\hline\end{array}$$ Use a significance level of 0.01 to test the claim that the mean systolic blood pressure of vegetarians is lower
than the mean systolic blood pressure of nonvegetarians. Use the P-value method of hypothesis testing.

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Definitions:

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