The data for a random sample of six paired observations are shown below.

a. Calculate the difference between each pair of observations by subtracting observation 2 from observation 1. Use the differences to calculate $s d ^ { 2 }$.
b. Calculate the standard deviations $s _ { 1 } ^ { 2 }$ and $s _ { 2 } ^ { 2 }$ of each column of observations. Then find pooled estimate of the variance $s p ^ { 2 }$.
c. Comparing $s d ^ { 2 }$ and $s p ^ { 2 }$, explain the benefit of a paired difference experiment.

Question

The data for a random sample of six paired observations are shown below.

a. Calculate the difference between each pair of observations by subtracting observation 2 from observation 1. Use the differences to calculate $s d ^ { 2 }$.
b. Calculate the standard deviations $s _ { 1 } ^ { 2 }$ and $s _ { 2 } ^ { 2 }$ of each column of observations. Then find pooled estimate of the variance $s p ^ { 2 }$.
c. Comparing $s d ^ { 2 }$ and $s p ^ { 2 }$, explain the benefit of a paired difference experiment.

Quizplus · Accepted Answer

The Answer of The data for a random sample of six paired observations are shown below.

a. Calculate the difference between each pair of observations by subtracting observation 2 from observation 1. Use the differences to calculate $s d ^ { 2 }$.
b. Calculate the standard deviations $s _ { 1 } ^ { 2 }$ and $s _ { 2 } ^ { 2 }$ of each column of observations. Then find pooled estimate of the variance $s p ^ { 2 }$.
c. Comparing $s d ^ { 2 }$ and $s p ^ { 2 }$, explain the benefit of a paired difference experiment.

The Data for a Random Sample of Six Paired Observations sd2s d ^ { 2 }sd2

The Data for a Random Sample of Six Paired Observations $s d ^ { 2 }$